Find a formula for the exponential function f(x) = Ca" passing through the points ( – 2, 12500) and (3,4) Now, use the function above to find the specified value. f(1) = What are the coordinates of y intercept
Answers
To find a formula for the exponential function f(x) = Ca^x passing through the points (-2, 12500) and (3, 4), we can use the two-point form of an exponential function.
Substituting the first point (-2, 12500) into the equation, we get 12500 = Ca^(-2). Similarly, substituting the second point (3, 4) into the equation, we get 4 = Ca^3. Solving these two equations simultaneously, we can find the values of C and a. Once we have the values of C and a, we can substitute x = 1 into the function f(x) = Ca^x to find the value of f(1).
To find the y-intercept, we need to find the value of f(0), which means substituting x = 0 into the function f(x) = Ca^x. The coordinates of the y-intercept will be (0, f(0)). By following these steps, we can determine the formula, find f(1), and determine the coordinates of the y-intercept.
Learn more about y-intercept here:- brainly.com/question/14180189
#SPJ11
Related Questions
Samole
-45 + 60.5
What is the answer
Answers
Answer:
the answer is 15.5
Step-by-step explanation:
the answer is 15.5
-45 + 60.5 is the same as 60.5 - 45.
60.5 - 45 = 15.5
What is the perimeter of the parallelogram?
Answers
Step-by-step explanation:
b×h1÷2 use this formulae
Using Pythagorean theory
a^2 + b^2 = c^2
64 + 36 = c^2
100 = c^2
Take square root of both sides
C=10
Now add all four sides for perimeter
10 + 10 + 8 + 8 =36
See picture for the math
For the right triangles below, find the exact values of the side lengths a and h. If necessary, write your responses in simplified radical form. pad 309 8 Х X S 45° 0 60° 3 h
Answers
First Triangle:
This is a special right-angled triangle and is known as 45°-45°-90° triangle
To solve for any side length, we can use the following procedure.
As you can see, the sides opposite to the 45° are equal and in this case, both are 3
Then the side opposite 90° will be
\(3\sqrt[]{2}\)Therefore, the side a = 3√2
Second Triangle:
This is a special right-angled triangle and is known as the 30°-60°-90° triangle.
To solve for any side length, we can use the following procedure.
As you can see, the side opposite the 30° is the smallest.
The side opposite the 60° is 2 times the side 30°
The side opposite the 90° is √3 times the side 30°
For the given case, we want to know the side opposite of side 30°
We are given the side opposite the 60° that is 8
\(\begin{gathered} 2h=8 \\ h=\frac{8}{2} \\ h=4 \end{gathered}\)Therefore, side h = 4
Using Suitable Identity ,Find the value of
(i) (729)2-(271)2 (ii)98x107
Answers
Answer:
(i) 458000 (ii) 10486
Step-by-step explanation:
(i) (729)²-(271)²
The identity is : \(a^2-b^2=(a-b)(a+b)\)
(729)²-(271)² = (729-271) × (729+271)
= 458 × 1000
= 458000
(ii) 98x107 = (100-2) (100+7)
Idenity : \((x-a)(x-b) = x^2+(a+b)x+ab\)
\((100-2) (100+7)=100^2+(-2+7)100+(-2)(7)\\\\=10000+500-14\\\\=10486\)
Hence, this is the required solution.
5\sqrt(32+2\sqrt(50))assume all variables represent real positive numbers
Answers
The expression \(5\sqrt{32+2\sqrt{50}\) when simplified is \(5\sqrt{32+10\sqrt{2}\)
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
\(5\sqrt{32+2\sqrt{50}\)
Take the square root of 50
So, we have
\(5\sqrt{32+2 * 5\sqrt{2}\)
Evaluate the product of 5 and 2
\(5\sqrt{32+10\sqrt{2}\)
The expression cannot be further simplified
Read more about expression at
https://brainly.com/question/31819389
#SPJ4
Question
Simplify \(5\sqrt{32+2\sqrt{50}\)
Assume all variables represent real positive numbers
Please please please help me!!!!!
Answers
The volume of the sphere which is equivalent to the lung capacity is approximately =2,571 cm³
How to calculate the volume of the sphere?To calculate the volume of a sphere the formula used = V = 4/3 πr³
Radius = 8.5 cm
First cube the radius = 8.5³ = 614.125
The, multiply r³ by π = r³×π = 614.125× 3.14= 1928.3525
Take this answer and multiply it by 4 = 4×1928.3525= 7713.41
Last, divide this answer by 3 = 7713.41/3 = 2571.136666
Therefore the volume of the balloon = 2,571 cm³(approximately)
Learn more about volume here:
https://brainly.com/question/27710307
#SPJ1
Which inequality models this problem?
Reiko started a business selling home medical supplies. She spent $6500 to obtain her merchandise, and it costs her $550 per week for expenses. She earns $900 per week for general expenses.
What is the minimum number of weeks it will take for Reiko to make a profit?
a.) 900w ≥ 6500 + 550w
b.) 900w < 6500 + 550w
c.) 900w > 6500 + 550w
d.) 550w > 6500 + 900w
Answers
Answer:
C
Step-by-step explanation:
$6500 is a one time purchase so there is no variable attached.
$550 and $900 per week is reoccurring so there will be a variable attached.
Since $900 is what she is making each week, this will be separate from her costs (can eliminate D).
To make a profit, her amount earned will need to be greater than her expenses, so the answer is C.
the value of “y” varies directly with “x”. if y= 56, then x= 4
Answers
If xx is a binomial random variable, compute P(x)P(x) for each of the following cases:
(a) P(x≤6),n=9,p=0.8
P(x)=
(b) P(x>8),n=9,p=0.3
P(x)=
(c) P(x<1),n=9,p=0.1
P(x)=
(d) P(x≥2),n=4,p=0.8
P(x)=
Answers
P(x < 1
a) P(x ≤ 6), n = 9, p = 0.8
Using the binomial cumulative distribution function, we can compute P(x ≤ 6) as follows:
P(x ≤ 6) = Σ P(x = i) for i = 0 to 6
= Σ (9 choose i) * (0.8)^i * (0.2)^(9-i) for i = 0 to 6
= 0.000015 + 0.000459 + 0.005902 + 0.042467 + 0.181904 + 0.393668 + 0.328126
= 1.352541 * 10^-5 + 0.000458818 + 0.005902008 + 0.042467328 + 0.181904316 + 0.393668288 + 0.328126005
= 0.952446763
Therefore, P(x ≤ 6) = 0.952.
(b) P(x > 8), n = 9, p = 0.3
Using the binomial cumulative distribution function, we can compute P(x > 8) as follows:
P(x > 8) = 1 - P(x ≤ 8)
= 1 - Σ P(x = i) for i = 0 to 8
= 1 - (0.43046721 + 0.25412184 + 0.07886593 + 0.016515105 + 0.002316831 + 0.000218700 + 1.0776 * 10^-5 + 2.43 * 10^-7 + 2.43 * 10^-9)
= 0.000011
Therefore, P(x > 8) = 1.1 * 10^-5.
(c) P(x < 1), n = 9, p = 0.1
Using the binomial cumulative distribution function, we can compute P(x < 1) as follows:
P(x < 1) = Σ P(x = i) for i = 0 to 0
= (9 choose 0) * (0.1)^0 * (0.9)^9
= 0.387420489 * 10^-9
= 3.874 * 10^-10
To learn more about
Binomial variable
brainly.com/question/17139967
#SPJ11
can I get help with this please
Answers
Answer:
10d or less
Step-by-step explanation:
Joanne would want $50 left, and she has $250. 20 - 50 is 200. 20 goes into 100 5 times.
20 goes into 200 10 times. You just add five. (20, 40, 60, 80, 100)
If she wants at least $50 left, she would have to limit how many Dvd's she buys to 10 or less.
A multiplication expression with a product of 108,064 is shown below. What is the missing digit? four thousand nine hundred twelve times blank two 2 3 4 5. the answer is 108,064
Answers
Answer:
???????????
Step-by-step explanation:
sorry cant help
A circle is drawn inside a square so its circumference touches each of the four sides of the square. If the area of the circle is 99.2cm2 calculate the length of the sides of the square.
Answers
Answer:
The length of the sides of the square is approximately 11.239 centimeters.
Step-by-step explanation:
Since the circle is inscribed in the square, the length of each side of the square (\(l\)), in centimeters, is equal to the length of the diameter of the circle (\(D\)), in centimeters. The area of the circle (\(A_{c}\)), in square centimeters:
\(A_{c} = \frac{\pi\cdot D^{2}}{4}\) (1)
Where \(D\) is the diameter of the circle, in centimeters.
If we know that \(A_{c} = 99.2\,cm^{2}\), then the length of the sides of the square is:
\(D = \sqrt{\frac{4\cdot A_{c}}{\pi} }\)
\(l = D \approx 11.239\,cm\)
The length of the sides of the square is approximately 11.239 centimeters.
If 1 cup has a 16 tablespoons,how many tablespoons are there in 2 1/2
Answers
Answer:
40 tablespoons
Step-by-step explanation:
a ____ is a procedure performed for definitive treatment rather than diagnostic purposes.
Answers
A therapeutic procedure is a procedure performed for definitive treatment rather than diagnostic purposes.
A procedure performed for definitive treatment rather than diagnostic purposes is a therapeutic procedure. These procedures are aimed at treating or curing a particular condition, disease, or illness. Therapeutic procedures are used to relieve pain, restore function, improve mobility, or even save a patient's life. Unlike diagnostic procedures that are performed to identify a problem, therapeutic procedures involve actually treating the problem. Examples of therapeutic procedures include surgeries, chemotherapy, radiation therapy, and immunotherapy. These procedures are often more invasive than diagnostic procedures and may require anesthesia or sedation. The goal of a therapeutic procedure is to improve the patient's health and well-being, and they are an essential part of modern medical care.
Visit here to learn more about therapeutic procedure:
brainly.com/question/14398169
#SPJ11
Name the Complimentary Pair?
Answers
C and H
Both angles add up to 90 degrees
Which angle is vertical to <3?
26
Submit
4
3
1
i
2
6
21
42
25
Answers
Answer:
∠6
Step-by-step explanation:
Look at the opposite of angle 3. angle 6=90 degrees.
a box with a square base and open top must have a volume of 42592 c m 3 . we wish to find the dimensions of the box that minimize the amount of material used. first, find a formula for the surface area of the box in terms of only x , the length of one side of the square base. [hint: use the volume formula to express the height of the box in terms of x .] simplify your formula as much as possible. wyzant
Answers
a formula for the surface area of the box in terms of only x , the length of one side of the square base is A = x² + 170368 cm³/x
The volume of the box with square base is V = x²h where x = length of side of square base and h = height of box.
Now, the area of the of box open at the top with dimensions of length, l , width, w and height, h are
A = 2lh + lw + 2wh
Now for a box of square base, l = w = x.
So, A = 2xh + x² + 2xh
A = x² + 4xh
Since V = x²h and V = 42592 cm³,
h = V/x² = 42592/x²
substituting h into A, we have
A = x² + 4xh
A = x² + 4x(42592 cm³/x²)
A = x² + 4 × 42592 cm³/x
A = x² + 170368 cm³/x
learn more about of surface area here
https://brainly.com/question/24126177
#SPJ4
which expressions are equivalent to x^4/5
Answers
Please Mark BRAINLIEST!
What does the following equal? Please help me!
Answers
Answer:
the first answer
Step-by-step explanation:
1/8 of the absolute value is 1/8 positive
anything from the absolute value is positive because absolute value is the value of how far away the number is from zero.
Answer:
-1/8
Step-by-step explanation:
A car dealership has 12 sports cars, 6 sport utility vehicles, and 7 luxury cars on its lot. How many outcomes are there for randomly choosing a vehicle?.
Answers
Total number of outcomes for randomly choosing a vehicle = 25
What is outcome of an event?
Suppose an event is happening. The results which are possible in that event is known as outcome of that event.
Number of sportscar a car dealership has = 12
Number of sports utility vehicle a car dealership has = 6
Number of luxury car a car dealership has = 7
Total number of outcomes for randomly choosing a vehicle
= 12 + 6 + 7 =
= 25
To learn more about outcome of an event refer to the link-
https://brainly.com/question/8090596
#SPJ1
In the coordinate plane, which of the following functions dilates by a factor of 3
about the point (9, 6)?
A. (, ) = (3 + 9, 3 +6)
B. (, ) = (3( + 9), 3( + 6))
C. (, ) = (9+ 3( − 9), 6 + 3( −6))
D. (, ) = (9+ 3(9− ), 6+ 3(6 − ))
Answers
I will mark brainliest 20 points! There were more private schools in the Republic of Texas then there were public schools.
Please select the best answer from the choices provided.
True
False
Answers
Answer:
It's true
Step-by-step explanation:
Hope it helps!!!!
Directions. Find the slope of the line that passes through the given points. (-6,-7) and (5,-7)
Answers
Answer:
\(m=0\)
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Point (-6, -7)
Point (5, -7)
Step 2: Find slope m
Substitute: \(m=\frac{-7+7}{5+6}\)Add: \(m=\frac{0}{11}\)Divide: \(m=0\)This means that our line is a horizontal line.
Answer:
0/11
Step-by-step explanation:
You want to do y2-y1/x2-x1=m
So you would -7-(-7)/5-(-6)
Which equals 0/11
Hope this helps!
2. In a sale, a jacket costing $40 is reduced by 20%. What is the sale price?
Answers
Answer:
$32
Step-by-step explanation:
1.20÷100×40=8
2.$40-$8=$32
Which month could be used as a counterexample for the argument All months have at least 30 days.?
A.) February
B.) September
C.) April
D.) July
Answers
Answer:
february
plzz mark as a brainlist
Suppose we lived in a society without interest. At age 25, you begin putting in $750 per month into a cookie jar until you retire at age 65. At age 65, you begin to withdrawl 2500 per month from the cookie jar. How long will your retirement fund last?
Answers
Answer:
the retirement fund would last 12 years
Step-by-step explanation:
first we find the amount of years one will be saving money by subtracting the age one will start saving money from the age one would start using the money.
65 - 25 = 40 years
next will be finding the amount of dollars one would save every year, we do that by multiplying the money one is saving every month by 12 (a year).
12 × 750 = 9,000 dollars per year
then we multiply the amount of money one would save per year by the amount of years one will be saving money in, to find how many dollars one would save in 40 years.
9,000 × 40 = 360,000 dollars in 40 years
-
after that we divide the amount one would have saved by the $2,500 one would use every month to find the amount of months the money would last.
$360,000 ÷ $2,500 = 144 months
to find how many years the money would last, one would divide it by 12, which is the amount of months per year.
144 ÷ 12 = 12
It will last 12 years. So it'll last till he's 77 years old at the rate he's pulling it out.
Step-by-step explanation:
You need to find the difference in the ages. so we need to find out how long he's been saving in the 1st place. 65 - 25 = 40 yearsWe now need to covert that 40 years into months. 40 × 12 = 480 months In order to know how much money he saved over that 40 years or 480 months times that by 750. 480 × 750 = 360,000Now we know over the course of 40 years he managed to save 360,000$ when he was putting in 750 a month. Now since he's retired he's taking out 2500 a month and we need to know how long it'll last.So to find out how long the 360k will last if taken out of 2500 increments just divide that rate but the total !! 360,000 ÷ 2500 = 144It will last him 144 months, now convert this number back to years. 144 ÷ 12 = 12 years So now we know it'll last him for 12 years ! and if u add 12 to 65 you'll get 77, so in 12 years he'll be 77!!This is why it'll last him 12 years, which he'll be 77 by that time !! I hope this helped !!
use the same regression results where you already found r square and other results for this regression. what is the standard error for the estimated slope of the regression line? answer to four decimal places.
Answers
A regression model can only predict values that are lower or higher than the actual value. As a result, the only way to determine the model's accuracy is through residuals.
What is regression ?
Regression is a statistical technique used in the fields of finance, investing, and other disciplines that aims to establish the nature and strength of the relationship between a single dependent variable (often represented by Y) and a number of independent variables (known as independent variables).
The most popular variation of this method is linear regression, which is also known as simple regression or ordinary least squares (OLS).
Based on a line of best fit, linear regression determines the linear relationship between two variables.
The slope of a straight line used to represent linear regression thus indicates how changing one variable affects changing another..
In a linear regression connection, the value of one variable when the value of the other is zero is represented by the y-intercept. Regression without linearity.
Hence, A regression model can only predict values that are lower or higher than the actual value.
learn more about regression click here:
https://brainly.com/question/28178214
#SPJ4
QUESTION 2 The sample standard deviation (s) is a better estimate of the population standard deviation for samples. O a. Small O b. Normal c. Large O d. Non-normal
Answers
The standard deviation of a larger sample will be closer to the standard deviation of the population than the standard deviation of a smaller sample, making it a better estimate of the population standard deviation.
In order to measure the variability or spread of a population, a population standard deviation is utilized. This is frequently unknown and estimated using the standard deviation of a random sample taken from the population. The sample standard deviation is the measure of variability for a set of data values obtained from a sample.The sample standard deviation is preferable to the population standard deviation for samples, particularly large samples. The sample standard deviation, abbreviated as "s", is used to estimate the population standard deviation, represented by the Greek letter sigma, which is unknown in this situation. The sample standard deviation is more likely to accurately reflect the true population standard deviation when it is calculated from a large sample size.Samples from populations that have a normal distribution provide the most precise estimate of the population standard deviation. If the population distribution is not normal, the sample size should be at least 30. However, for smaller samples, it is impossible to estimate the population standard deviation using the sample standard deviation. This is particularly true when the population has an atypical or unusual distribution.
In conclusion, the sample standard deviation (s) is a better estimate of the population standard deviation for large samples.
To know more about standard deviation visit:
brainly.com/question/31516010
#SPJ11
PLS HELP .........................
Answers
Answer:
D
Step-by-step explanation:
in y > 2x equation, the line will be dashed and u will shade above the line
Which one is it linear or nonlinear
Answers
Answer:
Linear
Step-by-step explanation:
We can see if it is by graphing. See attached. The function is linear because it is a straight line and is a one-to-one function.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
