Answer:
224.25
Step-by-step explanation:
13x15x1.15
Tell whether the function represents exponential growth or exponential decay.f (x) = 3 (3)
We can write an exponential function as:
\(f(x)=a\cdot b^x\)The value that determines if it corresponds to growth or decay is the coefficient "b": if b is less than 1, the function represents an exponential decay, and if it is bigger than 1 it represents an exponential gorwth.
In this case, f(x) = 3 * (3/4)^x, the value of b is b=3/4 and it is less than 1, so it represents an exponential decay:
Answer: Exponential decay
Represent 3 kg and 767 gm in decimal.
Answer:
3.767
Because it takes 1000 grams to be 1 kg and since it has not reached 1000, it stays a decimal while the whole numbers are separated by the decimal point.
Answer:
3.767 kg
Step-by-step explanation:
1kg=1000g
Thus 3kg and 767g will equal to 3767g or 3.767kg in decimal.
Hope this helps! Thanks.
Suppose f′(6)=5 and g′(6)=7.
Find h′(6) where h(x)=4f(x)+5g(x)+1.
The value of the derivative of functions h'(6) as requested in the task content is; 55.
What is the value of h'(6)?Since it follows from the task content that the function h(x)=4f(x)+5g(x)+1.
Hence, the derivative of h(x) can be evaluated as;
h'(x)=4f'(x)+5g'(x)
On this note, by substitution, it follows that;
h'(6)=4(5)+5(7)
h'(6) = 55.
Read more on functions;
https://brainly.com/question/6561461
#SPJ1
Convert the equation f(t) = 227e b= -0.09€ to the form f(t) = ab* Give answers accurate to three decimal places
Jayla says that the equation y=2x-3 matched the graph. Substitute the ordered pairs from part c into the equation to prove that jayla is correct. (3,3)(4,5)(5,7)
Given:
Jayla says that the equation \(y=2x-3\) matched the graph.
To prove:
Jayla is correct
Solution:
We have,
\(y=2x-3\) ...(i)
The ordered pairs are (3,3), (4,5), (5,7).
We need to substitute the ordered pairs into the equation to prove that Jayla is correct.
For point (3,3), put x=3 and y=3 in (i).
\(3=2(3)-3\)
\(3=6-3\)
\(3=3\)
\(LHS=RHS\)
So, point (3,3) lies on the line \(y=2x-3\).
For point (4,5), put x=4 and y=5 in (i).
\(5=2(4)-3\)
\(5=8-3\)
\(5=5\)
\(LHS=RHS\)
So, point (4,5) lies on the line \(y=2x-3\).
For point (5,7), put x=5 and y=7 in (i).
\(7=2(5)-3\)
\(7=10-3\)
\(7=7\)
\(LHS=RHS\)
So, point (5,7) lies on the line \(y=2x-3\).
All three point (3,3), (4,5), (5,7) satisfy the given equation.
Therefore, jayla is correct. Hence proved.
a fisherman holds his net 8 feet below the water how far does he need to raise the net before it is positioned 12 feet above the surface
Answer:
20 feet
Step-by-step explanation:
Nathan rolls a number cube and records the result of each roll in the table.
Number Cube
Number Rolled
Frequency
1
11
2
16
3
14
4
20
5
12
6
17
Which statements below represent the situation? Select three options.
The correct three options are:
Nathan rolled a number cube and recorded the results in a table.
The number cube has six sides, numbered 1 through 6.
The number 4 was rolled more frequently than any other number.
Nathan rolled a number cube and recorded the results in a table.
The number cube has six sides, numbered 1 through 6.
Nathan rolled the number cube a total of 90 times.
The number 4 was rolled more frequently than any other number.
The number 2 was rolled the least frequently of all the numbers.
The total number of rolls for odd numbers is greater than the total number of rolls for even numbers.
The correct statements are:
Nathan rolled a number cube and recorded the results in a table.
The number cube has six sides, numbered 1 through 6.
The number 4 was rolled more frequently than any other number.
To know more about cube visit:
https://brainly.com/question/28134860?
#SPJ1
find the first two expressions in the sequence _, _ , 4x+5, 5x+7, 6x+9, 7x+11, 8x+13
Answer:
3x+3
Step-by-step explanation:
notice how the first numbers are on order and the second ones skip count by odd numbers
The figure above shows a store's supply-demand graph for coffee makers. If the store sells $600 worth of coffee makers, which of the following is a valid possible price for them?
A. $15
B. $30
C. $40
D. $55
The possible price for the items if the store sells $600 is (c) $40
How to determine the possible price for the items?From the question, we have the following parameters that can be used in our computation:
The supply-demand graph
If the store sells $600, then there is a supply worth of $600
The equation of the supply line is calculated as
y = mx + c
Where
c = y = 0
i.e. c = 100
So, we have
y = mx + 100
Using another point on the graph, we have
30m + 10 = 400
So, we have
m = 13
This means that
y = 13x + 100
For a supply of 600, we have
13x + 100 = 600
So, we have
13x = 500
Divide by 13
x = 38.4
Approximate
x = 40
Hence, the possible price for the items is (c) $40
Read more about supply-demand graph at
https://brainly.com/question/14297698
#SPJ1
Find the surface area of the following figures.
with solution please. T-T
Answer:
I will do 1 2 3 and 5 for you:
Since a cube has a given length of 5, we know that all sides will be the same therefore your lengths will be the same.
There are 6 sides of a cube so,
5 x 5 = 25 area of one flat surface.
Now 25(an area of one flat surface) x 6(flat surfaces) = 150 cm for question 1
We need to find area of the two circles:
3(given radius)^2(radius being squared) x 3.14(pi)
3 x 3 = 9
9(after radius being squared) x 3.14(pi) = 28.26(area of one circle)
28.26 x 2 = 56.52 (area of 2 circles)
Now we need to find the round surface, but first we need to find circumference:
2 x 3.14 x 3 = 18.84
18.84(circumference) x 5(height) = 94.2 (area of round surface)
Now lets add all the given areas to find surface area:
56.52 + 94.2 = 150.72 cm^2 is your answer for question 2
2 x 4 = 8
8 x 2 = 16
4 x 5 = 20
20 x 2 = 40
2 x 5 = 10
10 x 2 = 20
Add all given areas:
16 + 40 + 20 = 76 cm^2 is your answer for question 3
452.16 cm^2
4 x 3.14 x 6^2
4 x 3.14 x 36 = 452.16 cm^2 is your answer for question 4
8 x 4 = 32, 32 divided by 2 = 16
since there are 4 sides,
4 x 16 = 64
Don't forget the bottom!
4x 4 = 16
Lets add the given areas:
64 + 16 = 80 for question 5
In triangle ABC, AB = 6, BC = 8, and angle ABC = 90 degrees. Find the area of triangle ABC.
Answer:
24
Step-by-step explanation:
The formula for area of any triangle is (length * width) * 1/2. This makes the angle of 90 degrees irrelevant.
6 x 8 = 48
48 / 2 = 24
you plan to mark up your taco prices by 15%, of your original prices are 4.50, 2.25, and 3.00 what would be the new prices?
Answer:
Step-by-step explanation:
$4.50 + $4.50(0.15) = $5.18
$2.25 + $2.25(0.15) = $2.59
$3.00 + $3.00(0.15) = $3.45
GiViNg BrAiNlIsT Match the vocabulary word with the correct definition.
1. constant of variation
a two-dimensional system in which a location is described by its distance from two intersecting, perpendicular axes
2. coordinate plane
principle that states that the number of outcomes for a compound event is found by multiplying the total number of outcomes for each event together
3. counting principle
the rate of change in a direct variation; also known as constant of proportionality
4. compound event
an event consisting of two or more events that can happen at the same time or one after the other
5. dependent events
compound events in which one event affects the likelihood of the other event
Answer:
1. coordinate plane, 2. counting principle, 3. constant of variation, 4. compound event, 5. dependent events
Mrs Brown rewards her students by putting a star next to their names on the bulletin board. For every 5 stars a student earns, the student gets a prize. Brenda got 3 prizes last month. Which could be the number of stars Brenda got?
Answer:
5stars is 1 prize = x stars is 3 prize
5:1 = x:3
x = 5 * 3
x = 15
Therefore, Brenda got 15 stars last month.(if this answer got deleted again by moderator, i know how to report it. its clearly not violating any communities rules tho?Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-
Answer:
if u have 5 stars then 1 prize
if u have 10 stars then 2 prizes
if u have 15 stars then 3 prizes
Step-by-step explanation:
Round 0.051866 to 2 significant figure
Answer:
your answer would be 0.052
Answer the question with an algebraic expression.
The perimeter of a square is m meters. How long, in centimeters, is each side of the square?
The length of the square in centimetres in algebraic expression is 25m
How to find the side length of a square?The perimeter of a square is m meters.
The length of the each side of the square in centimetres can be represented in an algebraic expression as follows:
Therefore,
perimeter of a square = 4l
where
l = side lengthTherefore,
m = 4l
where
m = perimeter of the squarel = m / 4 meters.
Therefore, the side length of the square in centimetres is as follows:
1 meters = 100 cm
m / 4 meters = ?
cross multiply
length of the square in meters = m / 4 × 100
length of the square in meters = 100m / 4
length of the square in meters = 25m
learn more on square here: https://brainly.com/question/13379880
#SPJ1
write 464000 in correct scientific notation
Answer:
The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.
To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.
So, we can write 464000 as:
4.64 x 10^5
Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.
Step-by-step explanation:
What is the area of a circle whose radius is 4 ft?
Answer:
16π ft²
Step-by-step explanation:
The formula is [ A = πr² ]
A = π(4)²
A = 16π
Best of Luck!
C 16
Step-by-step explanation:
i took the quiz
Anyone help me please
Answer:
2
Step-by-step explanation:
Multiply 3 by the exponets and then times those fractions :)))))
A certain disease has an incidence rate of 0.3%. If the false negative rate is 6% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease.
The probability that a person who tests positive actually has the disease is 0.012%
How to determine the probability?From the question, we have the following parameters that can be used in our computation:
Incidence rate = 0.3%False negative rate = 6%False positive rate = 4%The probability that a person who tests positive actually has the disease is represented as
Probability = Incidence rate * False positive rate
Substitute the known values in the above equation, so, we have the following representation
Probability = 0.3% * 4%
Evaluate the products
Probability = 0.012%
Hence, the probability is 0.012%
Read more about probability at
https://brainly.com/question/251701
#SPJ1
A toy car costing $50 is on sale for 10% off. What is the sale price of the car? *
Your answer this should be easy
Answer:
$45.00
Step-by-step explanation:
Consider the polynomial interpolation for the following data points
x| 0 | 2 | 3 | 4 | y | 7 | 11| 28| 63| (a). Write down the linear system in matrix form for solving the coefficients a; (i = 0,...,n) of the polynomial pn(x). (b). Use the Lagrange interpolation process to obtain a polynomial to approximate these data points.
Lagrange interpolation process to obtain a polynomial to approximate these data points is L(x) = (7/6)x³ - (5/3)x² + (19/6)x + 7
The polynomial interpolation is a technique that is used to find a polynomial function that passes through a given set of points. This is particularly useful in situations where we have a set of data points, and we want to find a smooth function that connects these points.
The given set of data points can be represented as (x0, y0), (x1, y1), ... , (xn, yn), where xi and yi represent the x and y coordinates of the ith point. In our case, the data points are (0, 7), (2, 11), (3, 28), and (4, 63).
To find the polynomial function that passes through these points, we can use a method called linear system. In this method, we assume that the polynomial function has the form:
pn(x) = a0 + a1x + a2x^2 + ... + anxn
Alternatively, we can use the Lagrange interpolation process to obtain a polynomial to approximate these data points. In this process, we construct a polynomial that passes through the data points by using the Lagrange basis polynomials. The Lagrange basis polynomial Li(x) is defined as:
Li(x) = (x - xi) / (xi - xj)
where i and j are indices that range from 0 to n, and i is not equal to j.
Using the Lagrange basis polynomials, we can construct the Lagrange polynomial L(x) as:
L(x) = y0L0(x) + y1L1(x) + ... + ynLn(x)
where yi is the y-coordinate of the ith point. This polynomial L(x) is the polynomial that passes through the given set of data points.
In this one, the Lagrange polynomial can be written as:
L(x) = (7/6)x³ - (5/3)x² + (19/6)x + 7
This polynomial can be used to approximate the values of y for any x within the range of the data points.
To know more about polynomial here.
https://brainly.com/question/11536910
#SPJ4
Explain why the probability of rolling a sum from 2 to 12 is 100%. [C:2]
The probability of rolling a sum from 2 to 12 on 2 dices is 100%
Given the data,
The two dice should be rolled.
Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).
The resultant 36 results are as follows:
1-1, 1-2, 1-3, 1-4, 1-5, 1-6
2-1, 2-2, 2-3, 2-4, 2-5, 2-6
3-1, 3-2, 3-3, 3-4, 3-5, 3-6
4-1, 4-2, 4-3, 4-4, 4-5, 4-6
5-1, 5-2, 5-3, 5-4, 5-5, 5-6
6-1, 6-2, 6-3, 6-4, 6-5, 6-6
When using two dice, there are a total of 36 possibilities that might occur.
As a result, the results' total ranges from 2 to 12.
Hence , the probability is 100 %
Click here for additional information about probability.
https://brainly.com/question/17089724
#SPJ1
Melanie runs 5miles a day. How many miles will her brother run in one week?
Use this formula to calculate compound interest:
Principal x (1 + Interest Rate)(Time)
$100
Interest Rate = 4%
Time= 5 years
Using the information above, how much money would you have after 5 years? Choose the answer that is closest to the exact answer.
The amount after 5 years on $100 using the compound interest is $122.
According to the question,
We have the following information:
Principal = $100
Interest Rate = 4%
Time= 5 years
We know that the following formula is used to find the total amount if there is compound interest:
Compound amount = \(P(1+\frac{r}{100})^{t}\) where P is the principal, r is interest rate and t is the time in years
(Note that there are different formulas for compound interest depending on how it is calculated.)
A = \(100(1+\frac{4}{100})^{5}\)
A = \(100(\frac{104}{100})^{5}\\100(1.04})^{5}\)
A = 100*1.22
A = $122
Hence, the amount after 5 years on $100 using the compound interest is $122.
To know more about compound interest here
https://brainly.com/question/12106357
#SPJ1
The image of the ant is 9 times the ant's actual size and has a length of 1.8 cm.
The ant's actual length is __ cm
Answer:
0.2 is the correct asnwer because you divide 1.8 by 9
Step-by-step explanation:
I hope this helps you:) Please mark brainliest if correct:)
Stay safe, God bless and happy studying!
Tiana is looking up her county's census data for a school project. Her county conducts a census every decade. She finds that the population was about 641,000 the year she was born, and that it had decreased to about 634,590 a decade later. Tiana reads that the population of the county is expected to continue decreasing each decade.
Write an exponential equation in the form y=a(b)x that can model the county population, y, x decades after Tiana was born.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
y =
How many decades after Tiana was born will the county population fall below 600,000?
decades
The exponential function that can model the county population, y, x decades after Tiana was born, is:
\(y = 641000(0.99)^x\)
The population will fall below 600,000 in 6.6 decades after Tiana was born.
What is an exponential function?The definition of the exponential function is presented as follows:
\(y = a(b)^x\)
In which the parameters of the exponential function are presented as follows:
a is the initial value.b is the rate of change.In the context of this problem, the values of these parameters are given as follows:
a = 641000, which is the initial population.b = 634590/641000 = 0.99.Hence the function is:
\(y = 641000(0.99)^x\)
The population will fall below 600,000 when y = 600000, hence:
\(y = 641000(0.99)^x\)
\(600000 = 641000(0.99)^x\)
\((0.99)^x = \frac{600000}{641000}\)
\(\log{(0.99)^x} = \log{\left(\frac{600000}{641000}\right)}\)
\(x\log{0.99} = \log{\left(\frac{600000}{641000}\right)}\)
\(x = \frac{\log{\left(\frac{600000}{641000}\right)}}{\log{0.99}}\)
x = 6.6 decades.
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
7. Principal = $39,300, Rate = 4.5%, Time = 6 months. What will that total principal + interest payment be rounded to the nearest dollar? o Lidhe total amount of
Given :
Principal = $39,300,
Rate = 4.5% = 0.045
Time = 6 months = 6/12 year = 0.5 year
Assume simple interest
So,
interest = Principal * rate * time = 39,300 * 0.045 * 0.5 = 884.25
So, the total = Principal + interest = 39,300 + 884.25 = 40,184.25
Rounding the answer to the nearest dollar
So, the total = $40,184
What is the common ratio of the sequence 900, 300, 100, 33-1/3, 11-1/9, 3-19/27
Answer:
The common ratio is 1/3.
Step-by-step explanation:
900 × 1/3 = 300
300 × 1/3 = 100
100 × 1/3 = 100/3 = 33 1/3
100/3 × 1/3 = 100/9 = 11 1/9
100/9 × 1/3 = 100/27 = 3 19/27
Step 6: Show how the masses of the objects affect the gravitational force between them.
a) Create a slide titled How the Masses of Objects Affect the Gravitational Force between
Them.
b) Include this table on your slide:
Mass of Object 1
(kg)
Mass of Object 2 (kg) Gravitational Force
(N)
1 x 1020 1 x 1020 1 x 1040
G
3 x 1020 1 x 1020 3 x 1040
G
2 x 1020 2 x 1020 4 x 1040
G
3 x 1020 4 x 1020 12 x 1040
G
c) Use the table to explain how the masses of Objects 1 and 2 relate to the gravitational force
between them
Answer:
134(47)√45
Step-by-step explanation:
46+24=12 dkkf
fjskkf
Answer:
ik this is late so sry but um hope this helps someone else in the future?
Step-by-step explanation:
We’re going to see how the masses of objects affect the gravitational force between them. Since gravitational force between two objects depends on the mass and distance between them, as you can see in the chart, as the mass of the objects multiplies, so does the gravitational force between them. To find the actual gravitational force between the two objects, you take the mass of both objects and multiply them. Let’s try and find the gravitational force between them. First, we have to find the mass of the object, so we’ll take the mass of objects 1 and 2 in the first equation. So let’s start with object 1, 1x10 to the 20th power which equals 10 to the 20th power, now object 2, 1x10 to the 20th power which equals 10 to the 20th power. Now we multiply the masses to get the gravitational force of 10 to the power of 40.
Hope you have a wonderful day and sry again that this is late