Answer:
it should be built at the centre
THIS IS EXPONENTIAL FROM TWO POINTS
If f(x) is an exponential function where f(3.5)=21 and f(6.5)=69, then find the value of f(9), to the nearest hundredth.
Answer:
i think the answer is 144
Step-by-step explanation:
ohhh so first we should try finding the slope here. since we know the points are (3.5 , 21) and (6.5, 69) we can use the formula to look for the slope
the formula is:
y2 - y1 / x2 - x1
lets substitute
69 - 21 / 6.5 - 3.5
48 / 3
16
f(x) = 16x + b
now we just substitute
btw i dont think we need to find b because this inst a linear equation? im not sure but yea i dont think we need to find the y-intercept
so anyways
f(9) = 16(9)
= 144
Compare the quantity in column A with the quantity in column B. Choose the best answer.
The quantity in column A is greater.
The quantity in column B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Answer:
(c) The two quantities are equal.
Step-by-step explanation:
The sine of an angle is equal to the cosine of its complement. In a right triangle, the acute angles are complementary, which means ...
sin(A) = cos(B)
The two quantities are equal.
Answer:
Step-by-step explanation:
Sin(A) = opposite / hypotenuse
opposite = 4
hypotenuse = 5
Sin(A) = 4/5 = 0.8
Cos(B) = adjacent / hypotenuse.
adjacent = 4
hypotenuse = 5
Cos(B) = 4/5 = 0.8
Believe it or not, this will always happen if you take Sin(A) and find that Cos(90 - A) are equal
Take a simpler case. Suppose you are working with a 30 60 90 triangle.
Cos(60) = Sin(90 - 60) = 1/2
Skyler is buying a new laptop on layaway for $275; If she pays $55 each week, how many weeks will it take Skyler to pay for the new laptop
Whats the mean of 72+72+72+79+82+82+88?
Answer:
78.1428571429
Step-by-step explanation:
Given that 1 x2 dx 0 = 1 3 , use this fact and the properties of integrals to evaluate 1 (4 − 6x2) dx. 0
So, the definite integral [tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74[/tex]
Given that
[tex]\int\limits^1_0 {x^{2} } \, dx = 13[/tex]
We find
[tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx[/tex]
Definite integralsDefinite integrals are integral values that are obtained by integrating a function between two values.
So, [tex]Integral \int\limits^1_0 {(4 - 6x^{2} )} \, dx[/tex]
So, [tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx = \int\limits^1_0 {4} \, dx - \int\limits^1_0 {6x^{2} } \, dx \\= 4[x]^{1}_{0} - \int\limits^1_0 {6x^{2} } \, dx \\= 4[x]^{1}_{0} - 6\int\limits^1_0 {x^{2} } \, dx \\= 4[1 - 0] - 6\int\limits^1_0 {x^{2} } \, dx\\= 4[1] - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6\int\limits^1_0 {x^{2} } \, dx[/tex]
Since
[tex]\int\limits^1_0 {x^{2} } \, dx = 13[/tex],
Substituting this into the equation the equation, we have
[tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx = 4 - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6 X 13 \\= 4 - 78\\= -74[/tex]
So, [tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74[/tex]
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The value of the function [tex]\rm \int\limits{(4-6x^2)} \, dx[/tex] is -74.
What is a definite integral?A definite Integral is a difference between the values of the integral at the specified upper and lower limit of the independent variable.
The given function is;
[tex]\rm \int\limits^1_0 {x^2} \, dx=13[/tex]
Calculation of the value of the function by using integration;
[tex]\rm= \int\limits{(4-6x^2)} \, dx \\\\=4 \int\limits^1_0 {} \, dx -6\int\limits^1_0 {x^2} \, dx \\\\=4 \int\limits^1_0 {} \, dx -6(13)\\\\ =4[x]^1_0-78\\\\= 4[1-0]-78\\\\=4-78\\\\=-74[/tex]
Hence, the value of the function [tex]\rm \int\limits{(4-6x^2)} \, dx[/tex] is -74.
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Can someone help me with this
Answer:
NO, but I know who can
Step-by-step explanation:
Based on her results, what is the probability that two students were randomly picked and the first one chose romance and the second one chose action?
1/27
4/7
18/28
1/14
At a movie theater, the manager announces that a free ticket will be given to the first person in line whose birthday is the same as someone in line who has already bought a ticket. You have the option of getting in line at any time. Assuming that you don't know anyone else's birthday, and that birthdays are uniformly distributed throughout a 365-day year, what position in line gives you the best chance of being the first duplicate birthday?
please explain how you got this answer. Thank you!
The best chance is an illustration of probability
The 21st position in line gives you the best chance of being the first duplicate birthday
How to determine the best position?
Assume you are in the nth position, the probability of getting a free ticket is:
P(n) = P'(first n - 1 people share a birthday) * P(birthday with first n -1 people)
Mathematically, the above can be represented as:
P(n) = [365/365 * 364/365 * 363/365 * ... * (365 - (n -2))/365] * [(n -1)/365]
Such that: n [tex]\le[/tex] 365
When simplified, the equation becomes
p(n)/p(n+1) = 365/(366 - n) * (n - 1)/n
Where
p(n)/p(n+1) > 1
So, we have:
365/(366 - n) * (n - 1)/n > 1
Evaluate the product
(365n -365)/(366n - n²) > 1
Cross multiply
365n -365 > 366n - n²
Collect like terms
n² + 365n - 366n - 365 > 0
Evaluate the difference
n² - n - 365 > 0
Solve for n using a graphing calculator;
n > - 18.6 or n >19.6
n cannot be negative.
So, we have:
n > 19.6
Approximate to nearest integer
n > 20
The least integer value of n is:
n = 21
Hence, the 21st position in line gives you the best chance of being the first duplicate birthday
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Explain how you know whether the numbers, 4/16 and 0.25 are equivalent numbers.
Answer:
When you divide 4/16 by 4 it equals 1/4. which is known as 0.25 or 25% of a whole.
Step-by-step explanation:
Solve.
3y − 1 − 9y = 29
(−5, 6, −6, 5)- answer options
Step-by-step explanation:
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
-6y - 30 = -6 • (y + 5)
Equation at the end of step
1
:
STEP
2
:
Equations which are never true:
2.1 Solve : -6 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : y+5 = 0
Subtract 5 from both sides of the equation :
y = -5
One solution was found :
y = -5
Answer: y=-5
Explanation:
3y-1-9y=29
3y-9y=-6y
-6y-1=29
+1 on both sides
-6y=30
÷-6
y=-5
Two sides of a triangle measure 17 inches and 13 inches. The perimeter of the triangle is 45 inches. What is the length in feet of the third side of the triangle?
[tex]\rightarrow[/tex] First side(a) of triangle = 17in.
[tex]\rightarrow[/tex] Second side(b) of triangle = 13in.
[tex]\rightarrow[/tex] Perimeter of triangle = 45in.
To Find:-[tex]\rightarrow[/tex]Third side of the triangle.
Formula Used:-[tex]\rightarrow[/tex] Perimeter of triangle = sum of all side(a+b+c).
Solution:-[tex]\rightarrow[/tex] Perimeter of triangle = a + b + c.(putting the value of perimeter, side a and b from the above given)
[tex]\rightarrow[/tex] [tex]\sf{45\: = \: 17+13+c}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{45\: = \: 30+c}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{45-30\: = \:c}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{15in.\: = \: c}[/tex]
Therefore, third side = 15in.
[tex]\rightarrow[/tex]To convert this value into feet we need to divide it by 12, because there are 12 inches in a foot.
[tex]\rightarrow[/tex] [tex]\sf{\frac{15}{12}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{1.25feet}[/tex]
________________________________
Hope it helps you:)
Answer:
Side 3 = 1.25 feet
Step-by-step explanation:
Given :
Two side measures of a triangle = 17 inches and 13 inchesPerimeter = 45 inchesTo Find :
Length of 3rd sideSolving :
Side 1 + Side 2 + Side 3 = Perimeter13 + 17 + Side 3 = 45Side 3 = 45 - 30Side 3 = 15 inchesSide 3 = 1.25 feetThe median weekly income for someone with a high school diploma was $678.00. If they continued their education and obtained a bachelor's degree, their median weekly income increased about 67.7%. Determine the median weekly income for someone with a bachelor's degree. (2 points) $218.99 $568.51 $799.45 $1,137.01
3/8x5/7=? please help
thank you
Answer:
15/56
Step-by-step explanation:
multiply the top fractions by making the equation the following
3x5
-------
8x7
_________________________
3x5 =15
8x7= 56
hope this helps :)
The solution to the product of fractions is 13/56
How to evaluate the product of fractionsFrom the question, we have the following parameters that can be used in our computation:
3/8 * 5/7
Evaluate the product of 3 and 5
So, we have
3/8 * 5/7 = 13/8 * 1/7
Evaluate the product of 8 and 7
So, we have
3/8 * 5/7 = 13/56
Hence, the solution is 13/56
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Sylvie bakes 4 trays of muffins. Each tray contains 8 muffins. She gives away 12 muffins to friends.
Let m represent the number of muffins Sylvie has left.
Which equation could be used to find the value of m?
4+8−12=m
4 + 8 + 12 = m
4 × 8 + 12 = m
4×8−12=m
Answer:
4x8-12=m
Step-by-step explanation:
4 trays x each containing 8 muffins - 12 muffins(giving away)
What is the perimeter of the given quadrilateral?
Answer: 20
Step-by-step explanation: a to d, just count how many squares. and you get 5, and there are 4 sides and it's a perfect square so 5 x 4 = 20, so it is 20, you didn't show what the unit will be so don't forget to write that down!
What is the speed of the car that travels 2955 km in 13 hours?
ROUND TO THE NEAREST WHOLE NUMBER
Given,
Distance (d)= 2955 km
Time (t)= 13 hr
To Find,
Speed (s)=?
Solution[tex]s = \frac{d}{t} \\ \\ s = \frac{2995}{13} \\ \\ s = 227.308 \: \: \text{km/hr}[/tex]
Rounding To Nearest Whole Number= 227 Km/hr
[tex] \therefore \text{speed} = 227 \text{km/hr}[/tex]
Hope This HelpsAnswer:
As Per Provided Information
Distance travelled by the car is 2955 Km
and it takes 13 hours to cover that distance .
We have been asked to determine the speed of the car .
[tex] \boxed{\bf \: speed \: = \dfrac{Distance Travelled by Car}{Total Time Taken }}[/tex]
substituting the value we get
[tex] \longrightarrow\sf \: Speed = \dfrac{2955}{13} \\ \\ \\ \longrightarrow\sf \: Speed = \cancel\dfrac{2955}{13} \\ \\ \\ \longrightarrow\sf \: Speed =227.30 \\ \\ \\ \longrightarrow\sf \: Speed \approx227 \: km {hr}^{ - 1} [/tex]
Therefore,
Speed of the car is 227 Km/hr.A bird drops of stick to the ground from a height of 95 ft. The function h= 16t^2+95 gives the sticks approximate height h above the ground, in feet, feet r seconds. At above what time does the stick hit the ground
Answer:
2.44 seconds (above 2 seconds)Step-by-step explanation:
When the stick hits the ground it has the height of zero.
Substitute h with 0 and solve the given equation for t:
[tex]- 16t^2 + 95 = 0\\16t^2 = 95\\t^2 = 95/16\\t = \sqrt{5.93} \\t=2.44[/tex]
- The four-digit number 1210 has an interesting property.
The first digit, 1, counts how many zeros are in the number.
The second digit, 2, counts how many ones are in the number.
The third digit, 1, counts how many twos are in the number.
The fourth digit, 0, counts how many threes are in the number.
Another number with this property is 2020 (2 zeros, 2 twos, no ones or threes.) Now,
make a 7 digit number ABCDEFG so that its first digit, A, counts the number of zeros
in the number, the second digit, B, counts the number of ones, and so on down to G,
which counts the number of sixes in the number
Answer:
ABCDEFG = 3211000
Step-by-step explanation:
A counts the number of zeroes, and there are 3 zeroes (E, F, G), so A = 3.B counts the number of ones, and there are 2 ones (C, D), so B = 2.C counts the number of twos, and there is 1 two (B), so C = 1.D counts the number of threes, and there is 1 three (A), so D = 1.There is no four, five, six in, so E, F, G are all zeroes.
o have $25,000 to spend on a new car in five years, how much money should Jill invest today at 8% compounded monthly?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$25000\\ P=\textit{original amount deposited}\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &5 \end{cases}[/tex]
[tex]25000=P\left(1+\frac{0.08}{12}\right)^{12\cdot 5}\implies 25000=P\left( \frac{151}{150} \right)^{60} \\\\\\ \cfrac{25000}{\left( \frac{151}{150} \right)^{60}}=P\implies 16780.26 \approx P[/tex]
PLEASE HURRY
Solve the inequality and express your answer in interval notation.
x2 + 8x-7<0
What is a closed line of credit? a. a line of credit with a set maximum credit limit. b. a line of credit with no interest rate. c. a line of credit with a fixed total amount. d. a line of credit with a legally mandated repayment schedule. please select the best answer from the choices provided a b c d
Answer:
c
Step-by-step explanation:
a line of credit with a fixed total amount.
The closed line of the credit is the line of credit with the fixed total amount. Option c is the correct option.
What is a line of credit?On the bases of the requirement, a person or firm takes the open or closed line of credit.
Open Line of Credit-This is a type of short period of loan in which many credit and deposit can be make, for example credit cards.Closed Line of Credit-This type of credit has to be repaid with total amount. The period of such credit is longer than the open line of credit. The deposits is make single time with fixed total amount.Thus, the closed line of the credit is the line of credit with the fixed total amount. Option c is the correct option.
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Is -9,8 a solution to y=-9
Answer:
No, it isn't.
Step-by-step explanation:
In (-9, 8), -9 is the x coordinate. The y is 8. In order for -9 to have been a solution, the y would have had to been -9.
Here's what I mean:
(The graph I drew is in the image. I hope it makes sense! Sorry for my bad handwriting, I'm not used to writing on computers.)
I hope this helps!
-No one
Need assistance please
And please put in the full explanation on how you solved it please.
Answer:
The triangles are not similar
Step-by-step explanation:
We can say whether the triangle UVW is similar to triangle LMN or not by looking at the side lengths' ratio:
If they are similar then the side's must be proportional
VU/LM = VW/NM
35/25 = 22/16 cross multiply expressions
560 = 550 this is not an equation so we cannot say the triangles are similar.
I need to a paint a spherical storage tank in the pool. it has a radius of 8 feet and the paint cans i brought will cover 75 square feet of the surface area. how many cans of paint will i have to buy?
======================================================
Explanation:
SA = surface area of the sphere
SA = 4*pi*r^2
SA = 4*pi*8^2
SA = 804.247719
The surface area is roughly 804.247719 sq ft.
I used the calculator's stored version of pi to get the most accuracy possible.
Since 1 paint can covers 75 sq ft, divide that surface area over 75 to find out how many cans you need.
804.247719/75 = 10.72330292
Round up to the nearest integer to get 11
You'll have leftover paint, but it's better to go over the goal than come up short.
PLEASE HELP
If I buy 24 tickets for 25 cents each how much money did I spend?
1)The mass of Sarah's dog is 6 Kg more than two times the mass of her cat. The mass of her dog is 16 Kg.What is the mass of her cat?
Answer:
10 kg
Step-by-step explanation:
Let x be the mass of her cat.
1)
2x + 6 = 16
2x = 16 - 6
2x = 10
x = 10/2
x = 5
2)
2(5)
= 10
Answer:10kg
Step-by-step explanation:
Find the distance between points A and B if A is point(-2, 12) and B is point (3, 0)
options:
11 units
18 units
15 units
13 units
Answer:
13 units is the answer to the questionMath homework pls help!!!!!
Answer:
z3 = 216 take the cube root of both sides
z = 6 cm = the side length
Find the average rate of change between n=1 and n=3
Answer:
there is not enough information to solve
Step-by-step explanation:
You need two ordered pairs to calculate the average rate of change.
Let's say the value of the function at n = 1 is a, and the value of the function at n = 3 is b, then the average rate of change from n = 1 to n = 3 is
(b - a)/(3 - 1) = (b - a)/2
a. In the library there are 2,345 science books, 1,469 history books, 270 chairs, and 628 ma zines. How many readable items in all are in the library?
Answer:
4442
Step-by-step explanation:
We Cant Read A Chair So We Exclude Chairs.
Therefore, 2345+1469+628
Which is equals to 4442