Answer: 8x^10
Step-by-step explanation:i guessed but when you multiply exponents you just add them so the exponent is 10 and then 2 cubed is 8
If 86
is added to a number, the result is 44
less than three times the number. Find the number.
Answer:
x = 65
Step-by-step explanation:
let the number be 'x'.
If 86 is added to a number, the result is 44 less than three times the number. Therefore the equation will be,
=> 86 + x = 3x - 44
Rearranging,
=> x - 3x = -44 - 86
=> -2x = -130
=> x = 130/2
=> x = 65
Consider a population with 3 observations: 6, 10 and 12. You use simple random sampling without replacement to select a sample of 2 observations. What is the probability that the sample mean is larger than 8?
Answer:
\(\dfrac{2}{3}\)
Step-by-step explanation:
Given that:
The number of observations is:
6, 10, 12
If we are to use a simple random sampling without replacement, then we will have:
(6,10) (6,12) (10,12)
Here;
the sample size n = 2
The population size N = 3
For (6,10) ; The sample mean = \(\dfrac{6+10}{2}\)
= \(\dfrac{16}{2}\)
= 8
For (6,12) ; The sample mean = \(\dfrac{6+12}{2}\)
= \(\dfrac{18}{2}\)
= 9
For (10, 12) ; The sample mean = \(\dfrac{10+12}{2}\)
= \(\dfrac{22}{2}\)
= 11
The probability distribution of sample mean(x) is:
X 8 9 11
P(X=x) \(\dfrac{1}{3}\) \(\dfrac{1}{3}\) \(\dfrac{1}{3}\)
Thus, the probability that the sample mean is larger than 8 is:
P(X> 8) = P(X = 9) + P(X + 11)
P(X> 8) = \(\dfrac{1}{3}+\dfrac{1}{3}\)
P(X > 8) = \(\dfrac{1+1}{3}\)
P(X> 8) = \(\dfrac{2}{3}\)
Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?
y – 5 = y minus 5 equals StartFraction one-half EndFraction left-parenthesis x minus 1 right-parenthesis.(x –1)
y – y minus StartFraction one-half EndFraction equals 5 left-parenthesis x minus 1 right-parenthesis. = 5(x –1)
y – 1 = y minus 1 equals StartFraction one-half EndFraction left-parenthesis x minus 5 right-parenthesis.(x –5)
y – 1 = 5y minus 1 equals 5 left-parenthesis x minus StartFraction one-half EndFraction right-parenthesis.
Step-by-step explanation:
Slope 1/2 point 5,1
in point slope form would be
(y-1) = 1/2 (x-5)
6. Peggy Carter is selling tickets to see Captain America. On the first night she sold 12 adult tickets and 11 student tickets for $301 dollars. One the second night she made $134 selling 6 adult tickets and 4 student tickets. What is the price of the student tickets
Answer:
student ticket = $11
(adult ticket = $15)
Step-by-step explanation:
Let a = price of adult ticket
Let s = price of student ticket
Given:
On the first night she sold 12 adult tickets and 11 student tickets for $301 dollars⇒ 12a + 11s = 301
Given:
On the second night she made $134 selling 6 adult tickets and 4 student tickets⇒ 6a + 4s = 134
Multiply 6a + 4s + 134 by 2 then subtract from 12a + 11s = 301 to eliminate a:
⇒ (6a + 4s = 134) × 2: 12a + 8s = 268
12a + 11s = 301
- (12a + 8s = 268)
--------------------------
3s = 33
⇒ s = 33 ÷ 3 = 11
Substitute found value of s into one of the equations and solve for a:
⇒ 12a + 11(11) = 301
⇒ 12a + 121 = 301
⇒ 12a = 180
⇒ a = 15
Therefore, the price of an adult ticket is $15 and the price of a student ticket is $11
It rained 12 inches in Seattle, Washington in 2020. It rained 15 inches in 2021. What is the
percentage increase between 2020 and 2021?
To calculate the percentage increase between the two years, we need to first calculate the difference in the amount of rainfall between the two years:
Difference = 15 inches - 12 inches = 3 inches
Next, we need to calculate the percent increase, which is the difference as a percentage of the original value (the rainfall in 2020):
Percent Increase = (Difference / 12 inches) x 100%
Plugging in the values, we get:
Percent Increase = (3 inches / 12 inches) x 100%
Percent Increase = 0.25 x 100%
Percent Increase = 25%
Therefore, the percentage increase in rainfall between 2020 and 2021 is 25%.
The average snail can move 1.81 X 10³ mi in 5 hours. What is its rate of speed in miles per hour?
Answer:
Step-by-step explanation:
How Far Can A Snail Travel In One Hour
If a snail can travel over half an inch per minute, that means in one hour a snail can travel up to 40 inches. If you want to think about how far this is in feet, it means that snails move up to 3.5 feet per hour.
Consider the fact that the average human being can walk about a mile, or 5280 feet, in one hour.
This means that snails can take up to 1,500 days, or over 4 years, to travel just one mile.
HELP ME PLZ
A crowd-funding project has received $4040, which is $360 less than 80% of the goal amount. What is the goal amount?
Hey there!
The original goal amount was $5,500.
First, we can start by adding 360 to 4040, and we get $4,400.
To get the original amount, we can use this equation:
4,400 = .80x It means, "4400 is 80% of what?"
Divide both sides by ".80" and you get 5,500.
Hope this helps! Good luck and have a great day!
The goal amount is $5500.
What is a percentage?The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying by 100.
The percentage change is also calculated using the same method.
In percentage change we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Goal amount = x
The amount received = $360 less than 80% of the goal amount.
We can write it as,
(80/100)x - 360 = 4040
0.8x - 360 = 4040
Solve for x:
0.8x = 4040 + 360
0.8x = 4400
x = 5500
Therefore,
The goal amount is $5500.
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A sphere has a radius of 3 centimeters. What is the volume of the sphere?
367 cm
727 cm
1447 cm
2887 cm
оо
Answer:
Volume = 113.1 cubic cm
Step-by-step explanation:
\(Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi 3^3 = 4 \pi \times 9 = 36 \pi=113.1 cm^3\)
Graph the image of the pre-image shown below, reflected across the y-axis.
PLEAS ANSWER QUICK ASAP
Answer: (3,5),(9,1),(6,-9)
Step-by-step explanation:
Just mirror it to the other side.
Στο μο
Ο Ο
απ
3
6
12
27
Answer:
n = 12
Step-by-step explanation:
Given expression:
\(\dfrac{a^n}{a^3} = a^9\)
multiply both sides by a³
\(\dfrac{a^n}{a^3} \times a^3 = a^9 \times a^3\)
simplify following
\(a^n = a^9 \times a^3\)
apply indices law
\(a^n = a^{9+3}\)
simplify
\(a^n = a^{12}\)
compare powers
\(n = 12\)
Answer:
n = 12
Step-by-step explanation:
Given function:
\(\dfrac{a^n}{a^3}=a^9\)
\(\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:\)
\(\implies a^{n-3}=a^9\)
\(\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):\)
\(\implies n-3=9\)
Add 3 to both sides:
\(\implies n-3+3=9+3\)
\(\implies n=12\)
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use the formula v = u + t to find the velocity when the initial velocity is 3 m/s, the accelaration is 1.5 m/s and the time is 7 seconds. What is the formula for each one?
The final velocity of the parameters is 13.5m/s
How to determine the final velocity of the parameter?In this question, the given parameters are represented as
Formula: v = u + at
Initial velocity = 3m/s
Acceleration = 1.5m/s²
Time = 7 seconds
When these parameters are represented using their required notation, we have the following representations
u = 3m/s
a = 1.5m/s²
t = 7 s
Next, we substitute the above parameters in the above equation
So, we have the following representation
v = 3 + 1.5 * 7
Evaluate the products
This gives
v = 3 + 10.5
Evaluate the sum
So, we have the following representation
v = 13.5
The notation v represents the final velocity
Hence, the final velocity is 13.5m/s
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The midpoint of JK is point L at (–1, 8). One endpoint is J(4, –15). Which equations can be solved to determine the coordinates of the other endpoint, K? Select two options. = –1 = 4 –15 + y1 =16 = y1
The other endpoint of a line segment JK is K(- 6, 31).
What is the midpoint formula of a straight line?The formula for midpoint \(x_m\) = (x₁ + x₂)/2 and \(y_m\) = (y₁ + y₂)/2.
Where x₁, y₁, and x₂, y₂ are the endpoint of the line.
Given, The midpoint of JK is point L at (-1, 8) and One endpoint is J(4, - 15).
Assuming the other endpoint(K) to be (x₂, y₂).
∴ - 1 = (4 + x₂)/2.
- 2 = 4 + x₂.
x₂ = - 6.
And,
8 = (- 15 + y₂)/2.
16 = - 15 + y₂.
y₂ = 31.
So, K(- 6, 31).
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11
10
9
7
6
5
4
D
E
G
L
0 1 2 3 4 5 6 7 8 9 10 11 12*
The farmer wants to provide an area of 20 square meters for each rabbit.
Which of these statements are true? Choose all that are correct.
O The perimeter of the field is approximately 300 meters.
O
The area of the field is 5,400 square meters.
The area of the field is 6,000 square meters.
The perimeter of the field is approximately 316 meters.
The field will hold a total of 300 rabbits.
The field will hold a total of 270 rabbits.
None of the given statements are true.
What are the area and perimeter of a rectangle?We are aware that a rectangle's area is equal to the product of its length and breadth, and that the perimeter of any 2D shape is equal to the sum of the lengths of its other sides, excluding the circle.
Given:
The rectangular shape has a width of 4 units and a length of 6 units.
So, The perimeter of the rectangle is,
= 2(6 + 4)
= 20 meters.
and, The area of the rectangle is,
= (6×4)
= 24 square meters.
From the given statements none of the statements are true.
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Can you guys tell me if the 6 graphs are functions or not ?
Answer:
in order from left to right : NO, NO, YES, NO, YES, NO
Step-by-step explanation:
here's how you can tell! if any point on the line (or singular point) lines up VERTICALLY with a different point, it automatically is not a true function. thats why a vertical slope is "undefined" because its not a function.
i hope this made sense... have a good day !
Find the perimeter of the figure below, composed of an isoceles trapezoid and one semicircle. Rounded to the nearest tenths place
I can't see the semi circle is that image. From what I see, the perimeter of the trapezoid is 41.
The Red Shell's flight path is modeled by the equation:
y = -2x2 + 60x + 350
a) Factor the equation below:
olutions to the equation?
Answer:
Geometric figure: Straight Line
Slope = 120.000/2.000 = 60.000
x-intercept = 346/-60 = 173/-30 = -5.76667
y-intercept = 346/1 = 346.00000
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(-4+60*x+350)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve y-60x-346 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-60x-346 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 346/1 so this line "cuts" the y axis at y=346.00000
y-intercept = 346/1 = 346.00000
Calculate the X-Intercept :
When y = 0 the value of x is 173/-30 Our line therefore "cuts" the x axis at x=-5.76667
x-intercept = 346/-60 = 173/-30 = -5.76667
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 346.000 and for x=2.000, the value of y is 466.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 466.000 - 346.000 = 120.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 120.000/2.000 = 60.000
Geometric figure: Straight Line
Slope = 120.000/2.000 = 60.000
x-intercept = 346/-60 = 173/-30 = -5.76667
y-intercept = 346/1 = 346.00000
Converting from the US customary system to the metric system, 16 fluid ounces is approximately equal to a) 1 gallon. b) 160 milliliters. c) 480 milliliters. d) 960 milliliters.
Answer:
c) 480 milliliters.
Step-by-step explanation:
16 fl oz = 473.176 ml
FYI these can all be found by doing a simple search such as
"convert fl oz to ml"
or
"convert miles to meters"
It gives you either a formula or a nice little box where you can enter your first amount and get the equivalent in the converted amount.
2-8 Please helpp gangy
Are the following figures similar?
Trapezoids ABCD and EFGH are shown. Angle A equals 137 degrees, Angle B equals 90 degrees, Angle C equals 90 degrees, Angle D equals 43 degrees, Angle E equals 136 degrees, Angle F equals 90 degrees, Angle G equals 90 degrees, Angle H equals 44 degrees.
No, the trapezoids are not similar because their corresponding angles do not have the same measures.
The given trapezoids ABCD and EFGH can be analyzed to determine if they are similar. Similarity in geometric figures implies that their corresponding angles are congruent, and their corresponding sides are proportional.
Let's examine the angles of the trapezoids:
In trapezoid ABCD:
Angle A = 137 degrees
Angle B = 90 degrees
Angle C = 90 degrees
Angle D = 43 degrees
In trapezoid EFGH:
Angle E = 136 degrees
Angle F = 90 degrees
Angle G = 90 degrees
Angle H = 44 degrees
By comparing the angles, we can observe that angles B and F are both right angles (90 degrees) in both trapezoids. Additionally, angles C and G are also right angles (90 degrees) in both trapezoids.
However, angles A and E, as well as angles D and H, do not have the same measures. Angle A measures 137 degrees in trapezoid ABCD, while angle E measures 136 degrees in trapezoid EFGH. Similarly, angle D measures 43 degrees in trapezoid ABCD, while angle H measures 44 degrees in trapezoid EFGH.
Since the corresponding angles in the two trapezoids do not have the same measures, we can conclude that trapezoids ABCD and EFGH are not similar.
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Why
is 30% of 40
and 40% of 30 the
same?
Answer:
no it's different 30% would be 12 and 40% would be 16 if it was going into 30 now mark as brainliest
Answer:
In both cases you are really multiplying the same numbers together.
Step-by-step explanation:
30% of 40 would be 30 x 40 x 0.01 = 12
or 0.30 x 40 = 12
40% of 30 would be 40 x 30 x 0.01 = 12
or 30 x 0.40 = 12
6.1 Define the term inflation.
Answer:
the action of inflating something or the condition of being inflated.
"the inflation of a balloon"
ASTRONOMY
(in some theories of cosmology) a very brief exponential expansion of the universe postulated to have interrupted the standard linear expansion shortly after the Big Bang.
2.
ECONOMICS
a general increase in prices and fall in the purchasing value of money.
"policies aimed at controlling inflation"
Monica has $20. She needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. What is the greatest number of cups of yogurt Monica can buy?
Use the inequality 1.20x + 2.5 ≤ 20 to solve the problem.
Greatest number of cups of yogurt Monica can buy is equals to 14cups.
What is Linear inequality?
" Linear inequality is the algebraic mathematical expression which compares two value with the sign of inequality, <, > , ≤, ≥ ."
According to the question,
Given,
Total amount with Monica = $20
Cost of a gallon on milk = $2.50
Cost of 1cup of yogurt = $1.20
Given linear inequality
1.20x + 2.5 ≤ 20
x represents the number of cups of yogurt
Solve linear inequality to get the value of x we have,
1.20x+2.5 -2.5 ≤ 20-2.5
⇒1.20x ≤ 17.5
⇒x ≤ 17.5 / 1.20
⇒x ≤ 14.58
14 ≤ 14.58 ≤ 15
Therefore, 14 of cups of yogurt Monica can buy.
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solve for y
2/3+y -1/9=7/9
Answer: y = 2/9
..............................
The midpoint of AB is M(-2,1). If the coordinates of A aree (1, -2), what are thecoordinates of B?
To find the coordinates of B, we need to use the following equation:
Let A = (x1,y,), and M = (x,y)
\(B=(2x-x_1,2y-y_1)\)Plug in the values of points A and M
\(B=(\lbrack2(-2)-(1)\rbrack,\lbrack2(1)-(-2)\rbrack)\)\(B=(\lbrack-4-1\rbrack,4)\)\(B=(-5,4)\)Therefore, the coordinates of point B are (-5,4).
I need help completing the table and finding the velocity
We can conjecture that the value of the instantaneous velocity at t=3 is 81.6.
What is the average velocity over an interval?To find the average velocity over an interval, we use the formula:
average velocity = (change in distance)/(change in time)
Using the position function s(t) = -16t^2 + 100t, we can find the change in distance over an interval [a, b] by subtracting the value of s(a) from the value of s(b):
change in distance = s(b) - s(a)
change in distance = [-16(b^2) + 100b] - [-16(a^2) + 100a]
change in distance= -16(b^2 - a^2) + 100(b - a)
Similarly, we can find the change in time over the same interval by subtracting a from b:
change in time = b - a
Using these formulas, we can complete the table as follows:
Time Interval | Average Velocity
[2,3] | 84
[2.9,3] | 82
[2.99,3] | 81.6
[2.999, 3] | 81.6
[2.9999,3] | 81.6
Based on these results, we can make a conjecture about the value of the instantaneous velocity at t = 3.
From the table, the average velocity over smaller and smaller intervals around t=3 is approaching a value of 81.6.
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1/3 + 1/2 and I am 5 years old
Answer:
5/6
Step-by-step explanation:
Answer for brainliest
Benny is trying to learn how to ride a bike, but is terrified of falling. He did some research, and discovered that if he rides a bike with training wheels, the probability of falling is 0.1; if he learns to ride a bike by using a bike without training wheels, his probability of falling is 0.5, and if he uses a unicycle, his probability of falling is 0.8. Benny came home crying with a bruise on his knee, after falling. His mom is trying to guess how Benny was trying to learn to ride a bike.
a) Assuming that the probability that Benny was using each of these 3 methods is equal, what is the probability that Benny was learning to ride a bike using the training wheels?
b) Since Benny's mom knows Benny so well, she knows that the probability that he was using training wheels is 0.7, regular bike is 0.2, and unicycle is 0.1. What is the probability now that Benny fell while using the training wheels?
Answer:
a) 7.14% probability that Benny was learning to ride a bike using the training wheels
b) 28% probability that Benny was learning to ride a bike using the training wheels
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
\(P(B|A) = \frac{P(B)*P(A|B)}{P(A)}\)
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
Benny came home crying with a bruise on his knee, after falling. His mom is trying to guess how Benny was trying to learn to ride a bike.
a) Assuming that the probability that Benny was using each of these 3 methods is equal, what is the probability that Benny was learning to ride a bike using the training wheels?
So
Event A: Benny fell
Event B: Benny was using training wheels.
The probability that Benny was using each of these 3 methods is equal
This means that \(P(B) = \frac{1}{3}\)
He did some research, and discovered that if he rides a bike with training wheels, the probability of falling is 0.1;
This means that \(P(A|B) = 0.1\)
Probability of falling:
1/3 of the time, he uses training wheels. With training wheels, the probability of falling is 0.1.
1/3 of the time, he uses the bike without training wheels. Without training wheels, the probability of falling is 0.5
1/3 of the time, he uses the unicycle, for which he has an 0.8 probability of falling. Then
\(P(A) = \frac{0.1 + 0.5 + 0.8}{3} = 0.4667\)
So
\(P(B|A) = \frac{\frac{1}{3}*0.1}{0.4667} = 0.0714\)
7.14% probability that Benny was learning to ride a bike using the training wheels
b) Since Benny's mom knows Benny so well, she knows that the probability that he was using training wheels is 0.7, regular bike is 0.2, and unicycle is 0.1. What is the probability now that Benny fell while using the training wheels?
Similar as above, just some probabilities change.
Event A: Benny fell
Event B: Benny was using training wheels.
The probability that he was using training wheels is 0.7
This means that \(P(B) = 0.7\)
He did some research, and discovered that if he rides a bike with training wheels, the probability of falling is 0.1;
This means that \(P(A|B) = 0.1\)
Probability of falling:
0.7 of the time, he uses training wheels. With training wheels, the probability of falling is 0.1.
0.2 of the time, he uses the bike without training wheels. Without training wheels, the probability of falling is 0.5
0.1 of the time, he uses the unicycle, for which he has an 0.8 probability of falling. Then
\(P(A) = 0.7*0.1 + 0.2*0.5 + 0.1*0.8 = 0.25\)
So
\(P(B|A) = \frac{0.7*0.1}{0.25} = 0.28\)
28% probability that Benny was learning to ride a bike using the training wheels
ASAP pls it’s due tomorrow
Answer:
D I think, that's the only one that makes since.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Opposite sides of a rectangle are equal and Parallel
f f(x) = 3x2 + 1 and g(x) = 1 – x, what is the value of (f – g
The value of the function operation f - g(x) is 3x² + x
What is Function OperationsFunction operations refer to mathematical operations that can be performed on functions, such as addition, subtraction, multiplication, and composition.
Addition and subtraction of functions:
A function can be added or subtracted with another function if both of them have the same domain. The result is a new function with the same domain as the original functions.
Multiplication of functions:
Two functions can be multiplied together to create a new function. The result is a new function whose value at each point in the domain is the product of the original functions' values at that point.
Composition of functions:
Function composition is the application of one function to the result of another function. The result is a new function that is the composition of the original functions. It is represented by (f ∘ g) (x) = f(g(x)) where f and g are the functions being composed.
In this problem, we have two functions which are;
f(x) = 3x² + 1g(x) = 1 - xThe value of (f - g)(x) = 3x² + x
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