[tex]y = ab^x \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{0}~~,~~\stackrel{y}{9})\qquad \implies 9=ab^0\implies 9=a(1)\implies 9=a~\hfill \underline{y=9b^x} \\\\\\ (\stackrel{x}{10}~~,~~\stackrel{y}{9216})\qquad \implies 9216 = 9b^{10}\implies \cfrac{9216}{9}=b^{10}\implies 1024=b^{10} \\\\\\ \sqrt[10]{1024}=b\implies 2=b~\hfill \underline{y=9(2)^x}[/tex]
The Exponential function is [tex]y = 9(2^{x} )[/tex]
What is Exponential function?The mathematical expression for an exponential function is f (x) = aˣ where “x” denotes a variable and “a” denotes a constant that is the base of the function and ought to be greater than 0. The most regularly utilized remarkable capability base is the supernatural number e, which is roughly equivalent to 2.71828.
Given function
y = abˣ
and coordinates (0, 9) and (10, 9216)
when x = 0, y = 9
[tex]y = ab^{x}[/tex]
substitute values
9 = ab⁰
9 = a
and [tex]y = ab^{x}[/tex]
when x= 10 and y = 9216
9216 = 9(b)¹⁰
1024 = b¹⁰
[tex]\sqrt[10]{1024}[/tex] = b
b = 2
[tex]y = 9(2^{x} )[/tex]
Hence equation is [tex]y = 9(2^{x} )[/tex].
Learn more about Exponential function;
https://brainly.com/question/14355665
#SPJ2
The blue dot is at what value on the number line?
Answer:
17
Step-by-step explanation:
✌
Nasrin invested $6000 in a bond at a yearly rate of 3%. She earned $450 in interest. How long was the money invested?
What value of c makes the polynomial below a perfect square?
Answer:
B
Step-by-step explanation:
x² + 9x
to complete the square
add ( half the coefficient of the x- term )² to x² + 9x
= x² + 2([tex]\frac{9}{2}[/tex] )x + ([tex]\frac{9}{2}[/tex] )²
= x² + 9x + [tex]\frac{81}{4}[/tex] ← the value of c
= (x + [tex]\frac{9}{2}[/tex] )² ← a perfect square
hello please help me with this
Answer:
physical contact needed
Step-by-step explanation:
need to see you
Jameela spins the following spinner 36 times.
A spinner with 4 equal sections labeled 1 through 4.
How many times should she expect it to land on 3?
Enter your answer as a number, like this: 42
PLEASE HELP ME IM NOT GOOD AT MATH
Using the binomial distribution, it is found that she should expect it to land on 3 9 times.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem:
The spinner is equally as likely to land on any of the four sections, hence p = 1/4 = 0.25.There will be 36 trials, hence n = 36.Then, the expected value is given by:
E(X) = np = 36 x 0.25 = 9.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
what is the diameter of a circular field whose area is 616cm^2
Answer:
28cmStep-by-step explanation:
[tex]d=2\sqrt{\frac{A}{\pi}} =2\sqrt{\frac{616}{\pi} }[/tex]≈[tex]28.00563cm[/tex]
rounding 28.00563 to 28.
So hence, your answer is 28cm
-------------------------------------------------------------------------------------------------------------The beautiful thing about learning is that no one can take it away from you!
B.B.King
Thanks!
Have a great day!
~ms115~
Answer:
28
Step-by-step explanation:
area of a circle
[tex]\pi{r}^{2} [/tex]
616=3•142×r×r
616/3•142=r^2
196=r^2
r=√196
r=14
d=2r
d=2×14
d=28
Please help fast! ( I'm not trying to rush yall but i need help fast! All so this is NOT high school math I just don't know how to change it sorry!)
Answer:
19%
Step-by-step explanation:
add all them up then figure out what percent of them are dimes you can do this by taking the number of dimes and dividing it by the total number of coin
46/238 = .19
Olya would like to find a way to reduce her current debt. the table below shows olya’s monthly income, expenses and net income. monthly budget amount income wages $2,750.00 expenses rent $850.00 utilities $236.54 entertainment $410.00 food $220.00 cell phone $114.98 credit card
Option which does not help Olya to reduce her debt is to skip a month or two paying for her school loan and put the money towards her credit card debt.
What is monthly payment?Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.
Olya would like to find a way to reduce her current debt. The table below shows Olya’s monthly income, expenses and net income.
Monthly budget amount Income wages $2,750.00 expenses rent $850.00 utilities $236.54 entertainment $410.00 food $220.00 cell phone $114.98 credit cardOlya could spend less on entertainment each month and put the money towards her credit card payment. By this way she can pay the credit card payment faster.
In the second option, she has to skip the montly payment of her school loan which is not possible.
Olya could spend less on food each month and put the money towards her credit card payment. Similar to first option, this way also she can pay the credit card payment faster.
Hence, the option which does not help Olya to reduce her debt is to skip a month or two paying for her school loan and put the money towards her credit card debt.
Learn more about the monthly payment here;
https://brainly.com/question/2151013
Answer:
answer is B
Step-by-step explanation:
What is the volume of this figure? Enter your answer in the box. ft³
Answer:
75 ft³ for K12
Given that lines b and c are parallel, select all that apply.
Which angles are congruent to 3?
4
7
2
6
Answer:
Angles 7, 2, and 6
Step-by-step explanation:
Angle 7 is congruent by corresponding angles to angle 3.
Angle 2 is congruent by vertical angles to angle 3.
Angle 6 is congruent by vertical angles to angle 7, which is congruent to angle 3, so angle 3 and angle 6 must also be congruent.
Answer:
7,2,6
Step-by-step explanation:
40.quadrilateral efgh was translated 3 units to the left and 8 units up to create quadrilateral e' f'g'h'. which
rule describes this transformation
Answer:
translation
Step-by-step explanation:
Answer please!!!
Best answer gets brainliest!!!
Answer:
B. 6
Step-by-step explanation:
So in order to find this, you need to find the middle of the first quadrant, and the middle of the third quadrant. In this case, we would do, (11+13)÷2. This would equal 12. Next we do (19+17)÷2=18. Now we do 18-12=6
Suppose the demand d, in units sold, for a company's jeans at price x, in dollars, is d(x)=800−4x.
A. If revenue=price×demand, write the rule for the function r(x), which represents the company's expected revenue in jean sales. Then state the domain of this function.
B. If the price is $30, how much revenue will the company earn?
A. The rule for the function r(x) is r(x)=
Answer:
Sorry let me try to understand the question
Step-by-step explanation:
The domain of the function r(x) is (0, 200).
The revenue earned when the price is $30 is $20400.
The rule for the function r(x) is x(800 - 4x).
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Demand:
d(x) = 800 - 4x
Price = x
Revenue = Price x demand
Revenue = r(x)
A)
The rule for r(x).
r(x) = x d(x) = x(800 - 4x)
The domain of r(x) is 0 < x < 200 i.e (0, 200).
B)
x = 30
r(x) = 30(800 - 4 x 30)
r(x) = 30(800 - 120) = 30 x 680 = 20400
C)
r(x) = x(800 - 4x)
Thus,
The answers are given above.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
mia draws a cone with a height of 9 inchess and a radius of 4 inches
The volume of the cone that was drawn by Mia is equal to 150.816 cubic inches.
How to calculate the volume of a cone.
Mathematically, the volume of a cone is given by this formula:
[tex]V = \frac{1}{3} \pi r^2h[/tex]
Where:
h is the height.r is the radius.Given the following data:
Radius of cone = 4 inches.
Height of cone = 9 inches.
Substituting the given parameters into the formula, we have;
Volume = 1/3 × 3.142 × 4² × 9
Volume = 3.142 × 16 × 3
Volume = 150.816 in³
Read more on radius here: brainly.com/question/21367171
is this correct if not whats the answer
Answer:
That answer is correct, when you do a survey, you pick people at random! So your answer is correct. :) If you have any more questions feel free to ask me. ^-^
Select all the ways below that correctly describe the ratio of bananas to monkeys in this picture: There’s 4 monkeys and 5 bananas.
1. 4 to 5
2. 5 to 4
3. 4:5
4. 5:4
5. 4/5
6. 5/4
7. 4.5
8. 5.4
(I seriously need help with this, I don’t know how to use Brainly but I hope this works.)
Find the geometric mean of 3 and 13. Show work
Answer:
b
Step-by-step explanation:
a/b=c/d
ad=bc
3/x=x/13
3*13=x*x
√39=√x2
6.244997998398=x
A triangle has sides that measure 2 units, 5 units, and 5. 39 units. What is the area of a circle with a circumference that equals the perimeter of the triangle? Use 3. 14 for π, and round your answer to the nearest whole number. 39 units2 25 units2 49 units2 12 units2.
The circumference of the circle is equal to the perimeter of the triangle, then the area of the circle is 12 square units. Option D is correct.
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
A triangle has sides that measure 2 units, 5 units, and 5.39 units.
The circumference of the circle is equal to the perimeter of the triangle. Then the radius of the circle will be
[tex]2 \pi r = 5 + 2 +5.39\\\\r = 1.97[/tex]
Then the area of the circle will be
[tex]\rm Area \ of \ circle = \pi r^2\\\\Area \ of \ circle = \pi 1.97^2\\\\Area \ of \ circle = 12.21 \approx 12[/tex]
The area of the circle is 12 square units.
More about the circle link is given below.
https://brainly.com/question/11833983
someone help please
Steps to finding the line in the diagram with the format 'ax + by = c
1. Find the slope
To find the slope, we need any two points on the line --> (0,4) and (3,0)[tex]Slope = \frac{y2-y1}{x2-x1} =\frac{4-0}{0-3} =-\frac{4}{3}[/tex]
2. Set up, with any one point on the line and the slope, in point-slope form
[tex](y-y0)=m(x-x0)\\(y-4)=-\frac{4}{3} (x-0)\\y-4 = -\frac{4}{3} x\\\frac{4}{3}x+y = 4[/tex]
Answer: [tex]\frac{4}{3}x+y = 4[/tex]
Hope that helps!
Answer:
[tex]\sf 4x+3y=12[/tex]
Step-by-step explanation:
Choose two points on the line:
Let [tex]\sf (x_1,y_1)=(0,4)[/tex]
Let [tex]\sf (x_2,y_2)=(3,0)[/tex]
Use the slope formula to find the slope of the line:
[tex]\sf slope(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-4}{3-0}=-\dfrac43[/tex]
Use the point-slope formula to find the equation of the line:
[tex]\sf y-y_1=m(x-x_1)[/tex]
Substitute values into the formula:
[tex]\sf y-4=-\dfrac43(x-0)[/tex]
Expand the brackets:
[tex]\sf y-4=-\dfrac43x[/tex]
Add 4 to both sides:
[tex]\sf y=-\dfrac43x+4[/tex]
Rearrange into the form [tex]ax+by=c[/tex]
Multiply both sides by 3
[tex]\sf 3y=-4x+12[/tex]
Add 4x to both sides:
[tex]\sf 4x+3y=12[/tex]
A scale drawing of a house is 2:9. If the length of the actual kitchen is 18 feet, how long was it in the drawing?
Answer: 4:18
Work:
2:9
2 inch:9 feet
2 · 9 = 18
2 · 2 = 4
4 inch:18 feet
x=15 in the form of |x-b|=c
(where b is a number and c can be either number or an expression)
Step-by-step explanation:
don't mind with my hand writting
A letter is randomly selected from the word “PINEAPPLE.” Which is
more likely, selecting "E” or selecting "P?" Explain your reasoning.
Answer:
e= 2/9
p= 3/9
Step-by-step explanation:
p is the answer
The more likely probability is selecting the letter P from the word “PINEAPPLE.”
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
To determine which letter is more likely to be selected, "E" or "P," we need to compare the number of occurrences of each letter in the word "PINEAPPLE."
In the word "PINEAPPLE," there is only one occurrence of the letter "E."
And , there are three occurrences of the letter "P" in the word "PINEAPPLE."
Therefore, the probability of selecting E = 2/9
And , the probability of selecting P = 3/9
Hence , it is more likely to select the letter P than E
To learn more about probability click :
https://brainly.com/question/17089724
#SPJ2
At which point would the graphs of the equations below intersect?
{
3
x
−
4
y
=
−
2
−
6
x
+
5
y
=
7
3x-4y = -2 -6x+5y = 7
A.
(
−
2
,
−
1
)
(
-
2
,
-
1
)
B.
(
2
,
−
1
)
(
2
,
-
1
)
C.
(
−
1
,
2
)
(
-
1
,
2
)
D.
(
−
1
,
−
2
)
Answer:
can't explain without you arranging your mathematical expression
How can I write a model of a function in a linear relationship? No links or I will report you! The best explanation and answer gets Brainliest!
Answer:
build linear model
When modeling scenarios with linear functions and solving problems involving quantities with a constant rate of change, we typically follow the same problem solving strategies that we would use for any type of function.
fitting linear models to data
A professor is attempting to identify trends among final exam scores. His class has a mixture of students, so he wonders if there is any relationship between age and final exam scores. One way for him to analyze the scores is by creating a diagram that relates the age of each student to the exam score received.
distinguish between linear and nonlinear relations
As we saw in the cricket-chirp example, some data exhibit strong linear trends, but other data, like the final exam scores plotted by age, are clearly nonlinear. Most calculators and computer software can also provide us with the correlation coefficient, which is a measure of how closely the line fits the data.
use a linear model to make predictions
Once we determine that a set of data is linear using the correlation coefficient, we can use the regression line to make predictions. As we learned previously, a regression line is a line that is closest to the data in the scatter plot, which means that only one such line is a best fit for the data.
key concepts
1. Scatter plots show the relationship between two sets of data.
2. Scatter plots may represent linear or non-linear models.
3. The line of best fit may be estimated or calculated using a calculator or statistical software.
4. Interpolation can be used to predict values inside the domain and range of the data, whereas extrapolation can be used to predict values outside the domain and range of the data.
glossary
correlation coefficient
1. a value, r, between –1 and 1 that indicates the degree of linear correlation of variables or how closely a regression line fits a data set.
extrapolation
1. predicting a value outside the domain and range of the data
Step-by-step explanation:
Ron and harry have ages that are consecutive odd integers. The product of their ages is 783. Which equation could be used to find ron’s age, r, if he is the younger man?
Answer:
The answer is (3).
Step-by-step explanation:
Ron and Harry have ages that are consecutive odd integers. The product of their ages is 783. So, the ron's age r is 27.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Ron and harry have ages that are consecutive odd integers. The product of their ages is 783.
r is younger
r + 2 = s
product is 783
783 = rs
s = r +2
783 = r(r+2)
So, the quadratic equation form
783 = r^2 + 2r
0 = r^2 + 2r -783
0 = (r -27)(r +29)
set to zero
r-27 = 0
r = 27
and
r + 29 = 0
r = -29
thus, The age of ron is 27 years old.
Learn more about quadratic equations;
brainly.com/question/13197897
#SPJ4
Geet sells televisions. he earns a fixed amount for each television and an additional $20 if the buyer gets an extended warranty. if geet sells 12 televisions with extended warranties, he earns $1,080. how much is the fixed amount geet earns for each television?
well, he got 1080, that's for 12 TVs each one with a warranty, let's take out the warranty commission, so each one is 20 bucks so for 12 that'd be 12*20 = 240, so 1080 - 240 = 840 is left.
so the fixed income for all 12 TVs is 840 bucks, how much per each one? well, 840 ÷ 12 = 70.
find the equation of the line
please help
Answer:
y=4x-9
Step-by-step explanation:
Slope-intercept form is y=mx+b where y is the y vale, m is the slope, x is the x value and b is the y-intercept.
We need to find the slope and y-intercept.
To find slope we will do rise/run
If we start from (3,3) and go up 4 and over 1 we get to (4,7)
4 over 1 is also 4
So m=4 or slope is 4
Now lets find the y-intercept
We can plug in our values and solve for b
3=4*3+b
3=12+b
-9=b
y-intercept is -9
so our answer will be y=4x-9
Answer:
y = 4x -9
Step-by-step explanation:
The equation of this line is requested in slope-intercept form. The y-intercept is off the bottom of the graph, so we much develop the equation from what we can see.
Exact values are best determined from points where the line crosses grid intersections. We observe two of those are (1, -5) and (2, -1). The slope formula can tell us the slope:
m = (y2 -y1)/(x2 -x1)
m = (-1 -(-5))/(2 -1) = 4/1 = 4
The formula for the y-intercept can be used with the first point:
b = y -mx
b = -5 -4(1) = -9
Then the equation of the line y = mx +b is ...
y = 4x -9
From midnight to 6:00 am, the temperature rose 8°C. At 6:00 am, the temperature was −20°C. What was the temperature at midnight?
Answer:
The answer is -28C
Step-by-step explanation:
dont forget to smile today:)
What are the domain and range of g of x equals the square root of the quantity x plus 4?
D: [4, ∞) and R: [0, ∞)
D: (–4, ∞) and R: (–∞, 0)
D: [–4, ∞) and R: [0, ∞)
D: (4, ∞) and R: (–∞, 0)
Using it's concept, it is found that the domain and range of the function are given by:
D: [–4, ∞) and R: [0, ∞)
What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.In this problem, the function is:
[tex]g(x) = \sqrt{x + 4}[/tex]
The square root function does not exist for negative values, hence the domain is represented by:
[tex]x + 4 \geq 0 \rightarrow x \geq -4[/tex]
The range of the square root function is [tex]x \geq 0[/tex], which remains the same as there are no vertical translations.
Hence the correct option is given by:
D: [–4, ∞) and R: [0, ∞)
More can be learned about domain and range of functions at https://brainly.com/question/10891721
Answer: C) D: [–4, ∞) and R: [0, ∞)
Step-by-step explanation:
The center of the sphere is C and its circumference is 7pi centimeters.
Find the radius of the sphere. Find the diameter of the sphere.
Answer:
384800 square centimeters (cm²); 3.848 × 107 square millimeters (mm²); 1.48572E-5 square miles (mi²); 46.0217 square yards (yd²)
Step-by-step explanation: