Write an exponential function in the form y=ab^x that goes through points (0,6) and (7, 768)
Answer:y=6(2)*x
Step-by-step explanation:
Find the arithmetic and the geometric means of 5 and 125
Answer:
Arithmetic Mean: 65
Geometric Mean: 25
Step-by-step explanation:
Arithmetic Mean Formula: Sum / # of values
(5 + 125) / 2
130 / 2
65
Geometric Mean Formula: √Product of the values
√(5*125)
√625
25
Is it, a solution or, NOT a solution?
Answer:
Perosnally i think it is not a solution but let me check that for you!
Step-by-step explanation:
Answer:Answer x=15 and the answer for x=6 will be false!
Step-by-step explanation:X=6 is not a solution but the correct answer is 15 .First we know that 5+5=10,then if we add 10+5 that will give us 15.
The perimeter of the triangle is 30 cm.
The perimeter of the rectangle is also 30 cm.
b
a
a
a
a
RE
b
Use this information to find the area of the square below.
b
Eਦੇ ਸਾਊ ਜ0
+
b
b
b
ਬਰੀ ਹੈ। ਅਜੋਕੇ ਸੰਤ
CHE
Answer:
25
Step-by-step explanation:
3a=30... equation 1
2a+2b=30... equation2
equation 2 => a+b=15 ... equation 3
equation 1 => a = 10 ... equation 4
equation 4 & equation 3 => b = 5
5^2 = 25
Answer:
20 cm
Step-by-step explanation:
triangle
30/3=10=a
rectangle
30-20=10/2=5=b
square
4 times 5=20
Match each function with its inverse function. Use function composition to determine your answers.
Please help
Answer:
For f(x) = x^2 - 2x + 1, the inverse is g(x) = √x + 1
For f(x) = 2 - 5*x the inverse is g(x) = (2 - x)/5
For f(x) = 5*(x - 2) the inverse is g(x) = x*(1/5) + 2
for f(x) = (x - 2)^2 - 1 the inverse is g(x) = √(x + 1) + 2
Step-by-step explanation:
If we have two functions f(x) and g(x) such that these functions are inverse, then we have:
f( g(x)) = x
and
g( f(x)) = x
Let's start with the function:
f(x) = x^2 - 2x + 1
Notice that we can rewrite this as:
f(x) = x^2 - 2*x + 1 = (x - 1)^2
Because this is a quadratic function, the inverse function needs to have a square root, then the inverse function can be the third or fourth one.
Let's try with the last one:
g(x) = √x + 1
Then:
f( g(x)) = ( √x + 1 - 1)^2 = (√x )^2 = x
g( f(x)) = √(x - 1)^2 + 1 = (x - 1) + 1 = x
Then for the function:
f(x) = x^2 - 2x + 1, the inverse is: g(x) = √x + 1
Now let's find the inverse for the second function:
f(x) = 2 - 5*x
The inverse of this function will be also a linear function, and the slope of the inverse will be the inverse of this slope, then the inverse may be the first or second options.
Let's try with:
g(x) = (1/5)*x - 2
Then:
f( g(x) ) = 2 - 5*((1/5)*x - 2) = 2 - x + 10
Then this g(x) is not the inverse of the function.
Let's try with g(x) = (2 - x)/5
Then:
f( g(x)) = 2 - 5*(2 - x)/5 = 2 - 2 + x = x
g( f(x)) = (2 - 2 - 5*x)/5 = 5*x/5 = x
For the function f(x) = 5*(x - 2)
The inverse should be the remaining linear function:
g(x) = x*(1/5) + 2
Then:
f( g(x)) = 5*(x*(1/5) + 2 - 2) = 5*x*(1/5) = x
g( f(x)) = (5*(x - 2) )*(1/5) + 2 = (x - 2) +2 = x
For the last function, f(x) = (x - 2)^2 - 1
The inverse function will be:
g(x) = √(x + 1) + 2
The compositions are:
f( g(x)) = (√(x + 1) + 2 - 2)^2 - 1 = (√(x + 1))^2 - 1 = (x + 1) - 1 = x
g(f(x)) = √((x - 2)^2 - 1 + 1) + 2 = √((x - 2)^2 + 2 = x
Answer:
PLATO ANSWER
Step-by-step explanation:
Choose all of the expressions that are equal to 1,024.
a. 4 × 4 × 4 × 4 × 4
b.5 × 5 × 5 × 5
c.4/5
d.5/4
.e2/10
Scott took 77 math tests in one semester. His scores on the tests were: 89 ,73 ,84 ,91 ,87 ,77 ,94
What was his mean test score?
Answer:
85
Step-by-step explanation:
Scott took 7* math tests in one semester. His scores were 89 , 73 , 84 , 91 , 87 , 77 , 94.
Find the mean. To solve for the mean, add all the scores together, and divide by the amount of tests he took:
(89 + 73 + 84 + 91 + 87 + 77 + 94)/7
(595)/7 = 85
Scott's mean test score is 85.
~
Answer:
85
Step-by-step explanation:
1. Add up all the numbers
=595
2. Dvivde it by how many numbers their are.
=7
3. Divide
595/7
=85
Please no links . What’s the answer ?
Answer:
600 square feet
Step-by-step explanation:
I notice it says "Estimate" in bold. Therefore, you would round all of the measurements. They're all pretty simple to round (to the nearest tens place). From here, you subtract the length of the large room from the length of both rooms. So, 50 - 30 = 20. This is the length of the small room. We now multiply this by the width of the small room (since area of a rectangle is length * width) and we get:
20 * 30 = 600, our final answer
Hope it made sense. I would appreciate Brainliest, but no worries.
HELP PLEASE
Determine the solution to the following system of equations.
y = -2x2 + 4x + 8
y = -4x + 16
Answer:
(x, y) =([tex]\frac{9}{2}[/tex], -2)
um yuh?
NEED HELP ASAP
Which ratios are equivalent to 4:10? Choose ALL the equivalent ratios.
Answer:
2:5 12:30(?)
Step-by-step explanation:
the first ones right I'm not sure about 12:30
Need some help please, I'm super stuck on this. :/
Please someone help me
Find the first derivative of cos2(π/4)
Exact form: (\πcos(2))/(4)
Decimal Form: − 0.32684096
brainliest or a thank you please :)) <3
David has 5 yellow, 3 green, and 2 red gumballs in a bag. He takes out two at random and does replace them. A) What is the probability, , that the first gumball is green and the second is red? .
What is the volume of a ball if its diameter is 6 inches? Leave your answer in terms of π.
A) V = 12 π cubic inches
B) V = 36 π cubic inches
C) V = 288 π cubic inches
D) V = 27.75 π cubic inches
Answer:
B
Step-by-step explanation:
I am assuming that this ball is a perfect sphere.
The volume of a sphere is [tex]\frac{4}{3} *\pi *r^3[/tex]
We have the diameter, and in order to find the radius, we just have to divide by 2. 6/2=3. Now, we have to plug in the 3 to the equation.
[tex]\frac{4}{3} *\pi *3^3[/tex]
3 cubed is 27, so now we have [tex]\frac{4}{3} *\pi *27[/tex]
27*4/3*pi=36pi
The circumference of a circle is about 50 centimeters (cm). Which is closest to the length of its radius? You may use 3.14 for
Α.4 cm
B. 8 cm
C.16 cm
D.32 cm
Answer:
8 cm
Step-by-step explanation:
The formula of circumference is c= πd------(1)
where C = circumference, π = 3.14 and d = diameter
as we know that diameter is equal to d= 2r
put the diameter formula in eq(1)
we get c= π2r-------(2)
from eq (2) separate r means radius
hence, r= c/(π2)------(3)
put the values in eq(3)
and radius is equal to 8 cm.
Identify all integers less than -14.
Answer:
An integer is a whole number that can be either greater than 0, called positive, or less than 0, called negative.
Step-by-step explanation:
Answer:
-28, -19, -18, -15,
Step-by-step explanation Cause -14 is more closer to 0 then all 4 of those negative numbers so that mean all 4 of these negative numbers are greater than -14 :) if that makes sense
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
XY i think
Step-by-step explanation:
An animal shelter has 44 dogs and 54 cats. Then, 13 of these animals get placed in
new homes. How many animals are left at the shelter?
Answer:
44+54= 98
98-13=85
Step-by-step explanation:
Answer:
85 animals are left.
Step-by-step explanation:
44 + 54 = 98.
98 - 13 = 85.
Jacob wants to purchase a new computer, but he does not have enough money in his bank account to pay for one.
Which of these is not an option for Jacob?
He can purchase the computer now using his his debit card.
He can put more money in his bank account and use his debit card to purchase the computer at a later date.
He can buy the computer using cash once he has saved enough money.
He can purchase the computer now using his his credit card.
Answer:
A is wrong. A debit card uses the money you have.
There are 16 females and 20 males in a class.
Part B: What is the theoretical probability that a randomly chosen student is male? (Round the answer to the nearest hundredth.)
Answer:
5/9 OR 9/5
Step-by-step explanation:
a cube has edges measuring 5 inches. Find the surface area of the cube.
quick help plzz!!!!!!!
What fraction of the large square is the purple square?
Answer: I don't what you are asking it should be in color but if you don't know it is 1/7 of the square
Step-by-step explanation:
The product of two consecutive even numbers is 224. What are these two numbers?
Answer:
14 and 16
Step-by-step explanation:
They are the ONLY consecutive even numbers
And also
x and (x+2)
x(x+2)=224 ( product of a number and the consecutive of that number)
x ²+ 2x-224=0
(x+16)(x-14) =0
x=-16 or 14
In this case 14 and (14+2) 14 and 16
The integers are either 14 and 16 or -14 and -16.
A sofa regularly sells for $840. The sales price is$714. Find the percent decrease of the sale price from the regular price
Answer:
15%
Step-by-step explanation:
please help ASAP!!!
A cone has a radius of 2.5 inches and a height of 1.6 inches.
What is the volume of the cone?
Use 3.14 for pi. Round to the nearest tenth.
4.0 in³
10.5 in³
12.0 in³
23.1 in³
Solving a word problem involving a sum and another basic relationship using a system of linear equations.
At a basketball game, a vender sold a combined total of 130 sodas and hot dogs. The number of hot dogs sold was 44 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
Number of sodas sold:
Number of hot dogs sold:
sodas: 130
hot dogs: 86
there is 130 sodas sold if you subtract 44 from 130 you get how many hotdogs
What is the median of 5, 9, 5, 6, 3, 2,
Find the volume of the cylinder. Round your answer to the nearest hundredth.
9514 1404 393
Answer:
1763.01 m³
Step-by-step explanation:
The height of the cylinder will be ...
h = (18 m)sin(60°) = 9√3 m
The volume of the cylinder is ...
V = Bh
where B is the area of the end circle.
B = πr² = π(6 m)² = 36π m²
Then ...
V = (36π m²)(9√3 m) ≈ 1763.01 m³
The volume of the cylinder is about 1763.01 m³.
The time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. (a) What is the probability that more than three aircraft arrive within an hour? (b) If 30 separate one-hour intervals are chosen, what is the probability that no interval contains more than three arrivals?(c) Determine the length of an interval of time (in hours) such that the probability that no arrivals occur during the interval is 0.10.
Answer:
(a) The probability that more than three arrive in one hour is approximately 0.018988
(b) The probability that no interval contains more than 3 arrivals in 30 separate one-hour intervals is approximately 0.56264
(c) The length of time such that the probability of no arrival is 0.1 is approximately 2.30259 hours
Step-by-step explanation:
The distribution of the arrival time of a small aircraft = Exponential distribution
The mean arrival time, μ = 1 hour
The pdf of a exponential distribution, f(x) = λ·e^(-λ·x)
The mean, μ = 1/λ
∴ 1 = 1/λ
λ = 1 hour
∴ For the exponential distribution, f(x) = 1·e^(-x)
(a) The Poisson probability is given as follows;
[tex]P(X = k) = \dfrac{\lambda^k \times e^{-k}}{k!}[/tex]
The probability for more than 3 is given as follows;
[tex]P(X > 3) = 1 - \dfrac{1^0 \times e^{-1}}{0!} - \dfrac{1^1 \times e^{-1}}{1!} - \dfrac{1^2 \times e^{-1}}{2!} - \dfrac{1^3 \times e^{-1}}{3!} \approx 0.018988[/tex]
(b) P(X ≤ 3) for 30 1 hour intervals = P(X ≤ 3)³⁰ = (1 - 0.018988)³⁰ ≈ 0.56264
(c) When the probability that no arrival occurs is 0.1, we have;
0.1 P(X > x) = f(x) = 1·e^(-x) = e^(-x)
-x·ln(e) = ln(0.1)
∴ x = -㏑(0.1) ≈ 2.30259
The length of time such that the probability that no arrival occur during the interval is 0.1, x ≈ 2.30259 hours.