Answer:
35 inches
Step-by-step explanation:
Regular, means that all the sides of the pentagon are the same, so you can multiply 21 * 5/3 = 35
help please
What are the first five terms of the sequence represented by the explicit equation g(n) = 34 - 5n ?
Answer:
Step-by-step explanation:
Remark
My guess is that what is confusing you is not what you have to do, but why it is disguised as g(n)
What you are doing in effect is setting up a table. You are also not certain where the table starts. And that is a problem. I will start it at zero, but it might be 1.
zero
n = 0
g(0) = 34 - 5*0
g(0) = 34
One
n = 1
g(1) = 34 - 5*1
g(1) = 34 - 5
g(1) = 29
Two
g(2) = 34 - 5*2
g(2) = 34 - 10
g(2) = 24
Three
g(3) = 34 - 5*3
g(3) = 34 - 15
g(3) = 19
Four
g(4) = 34 - 5*4
g(4) = 34 - 20
g(4) = 19
Answer
0 1 2 3 4
34 29 24 19 14
solve the equation x=2/3pir^3 for r
The solution for r is given by \(r=\frac{\sqrt[3]{\frac{3}{2} x} }{\pi }\).
To solve the equation
\(x=(\frac{2}{3} )\pi r^3\) for r,
we need to isolate the variable r.
Let's follow the steps:
Multiply both sides of the equation by \((\frac{3}{2} )\) to cancel out the coefficient \((\frac{2}{3} )\) on the right side:
\((\frac{3}{2} )x=\pi r^3\).
Divide both sides of the equation by π to get rid of it on the right side:
\(\frac{\frac{3}{2} x}{\pi } = r^3\).
Take the cube root of both sides to eliminate the exponent:
\(\sqrt[3]{\frac{3}{2} x} = r\).
Therefore, the solution for r is given by \(r = \frac{\sqrt[3]{\frac{3}{2} x} }{\pi }\).
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Which of the following search algorithms should be used on large arrays if speed if important?
BinaryascendingBubble sortAll of the above
If speed is important and the array is large, the a. Binary search algorithm should be used. This algorithm is designed to efficiently search through sorted arrays by repeatedly dividing the search interval in half.
It has a time complexity of O(log n), which means that as the size of the array increases, the time it takes to search for an item will not increase at the same rate.
On the other hand, ascending bubble sort and other sorting algorithms such as selection sort and insertion sort have a time complexity of O(n^2), which means that as the size of the array increases, the time it takes to sort the array will increase exponentially. Therefore, these algorithms are not efficient for large arrays and should not be used if speed is important.
In summary, when dealing with large arrays and speed is important, binary search is the best algorithm to use for searching, while ascending bubble sort and other sorting algorithms with a time complexity of O(n^2) should be avoided.
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Write a sine equation to represent this scenario.Here is a point at the tip of a windmill blade. The center of the windmill is 6 feet off the ground and the blades are 1.5 feet long.
We must write a sine equation for the height h of the point w from the ground.
Using the data of the problem, we make the following diagram:
From the diagram, we wee see that the height h of point W from the ground is:
\(h=h_0+y=6ft+y.\)Where:
• h_0 = 6ft is the height from the ground to the center of the windmill,
,• y is the height of point W to the center of the windmill.
We see that height y is the opposite cathetus to angle θ, using trigonometry, we see that:
\(y=r\times\sin\theta=1.5ft\times\sin\theta.\)Where r is the radius of the blade.
Replacing the equation of y in the equation of h, we get:
\(h(\theta)=6ft+1.5ft\times\sin\theta.\)We have found the equation for the height of point W as a function of the angle θ.
When point W is in the position of the diagram, the angle θ is equal to zero, so we have:
\(h(0)=6ft+1.5ft\times\sin0=6ft+1.5ft\times0=6ft.\)Answer• The equation for the height of point W as a function of the angle θ is:
\(h(\theta)=6ft+1.5ft\times\sin\theta\)• When W is in the position of the diagram, we have θ = 0, so its height is:
\(h(0)=6ft+1.5ft\times\sin0=6ft\)
What number is 32% of 75? Type a numerical answer in the space provided. Do not type spaces in your answer.
Answer:
24
Step-by-step explanation:
75 x .32 = 24
Answer:
32 percent of 75 is 24
what is the value of x 6(−3−x)−2x=14
Answer:
6(−3−x)−2x=14
simplify
-18-6x-2x=14
simplify
-8x-18=14
add 18
-8x=32
divide by -8
x=4
Hope This Helps!!!
What is the length of the circle’s radius?a. 25b. 23c. 11.5d. 12.5
Given:
Given a circle with right triangle with
\(\begin{gathered} a=7 \\ b=24 \end{gathered}\)Required:
To find the length of the circle radius.
Explanation:
From the figure
\(\begin{gathered} d^2=7^2+24^2 \\ \\ =49+576 \\ \\ =625 \\ \\ d=\sqrt{625} \\ \\ d=25 \end{gathered}\)Now the length of radius is
\(\begin{gathered} r=\frac{d}{2} \\ \\ r=\frac{25}{2} \\ \\ r=12.5 \end{gathered}\)Final Answer:
The option d is correct.
\(r=12.5\)twelve new students are standing in a line. how many different ways can the first seven students in line order themselves? provide your answer below:
I hope this can help you out some
If g(x) = x +4 h(x) = 3x-2, Find: g(5)
h(6)
g(-2)+h(-3)
Answer:
g(-2)+h(-3) = -9
Step-by-step explanation:
Given
g(x) = x+4h(x) = 3x-2To determine
g(5)h(6)g(-2)+h(-3)Determining g(5)
Given the function
g(x) = x + 4
substitute x = 5
g(5) = 5+4
g(5) = 9
Determining h(6)
Given the function
h(x) = 3x-2
substitute x = 6
h(6) = 3(6) - 2
h(6) = 18-2
h(6) = 16
Determining g(-2)+h(-3)
Given the function
g(x) = x + 4
substitute x = -2
g(-2) = -2 + 4
g(-2) = 2
Given the function
h(x) = 3x-2
substitute x = -3
h(-3) = 3(-3)-2
h(-3) = -9-2
h(-3) = -11
so
g(-2)+h(-3) = 2+(-11)
= 2-11
= -9
Therefore,
g(-2)+h(-3) = -9
Answer:
Step-by-step explanation:
You are given g(x) = x +4 and h(x) = 3x-2.
To find g(5), replace x in g(x) = x +4 with 5, obtaining g(5) = 5 + 4 = 9 = g(5)
To find h(6), replace x in h(x) = 3x-2 with 6, obtaining h(6) = 3(6) - 2 =
16 = h(6)
Similarly, g(-2) = -2 + 4 = 2 and h(-3) = -9 - 2 = -11
Then g(-2) + h(-3) = 2 - 11 = - 9 = g(-2) + h(-3)
Find the values of x and y given that Triangle ABC is
similar to Triangle MNC.
The value of x and y in the similar triangle are as follows:
x = 30
y = 12
How to find the angles of similar triangles?Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other.
Therefore, let's use the similarity ratio to find the x and y in the triangle as follows:
4x + 2x = 180(sum of angles on a straight line)
6x = 180
divide both sides of the equation by 6
x = 180 / 6
x = 30
Therefore, let's find y. Recall the angles of the similar triangles are congruent.
Therefore,
5y = 60
y = 60 / 5
y = 12
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(
∂P
∂E
)
T
=−P(
∂P
∂V
)
T
−T(
∂T
∂V
)
P
The equation ( ∂P/∂E )T = -P( ∂P/∂V )T - T( ∂T/∂V )P represents a relationship involving partial derivatives of pressure (P), energy (E), and volume (V) with respect to temperature (T).
In the given equation, the left-hand side represents the partial derivative of pressure with respect to energy at constant temperature ( ∂P/∂E )T . On the right-hand side, the equation involves two terms. The first term, -P( ∂P/∂V )T , represents the negative product of pressure (P) and the partial derivative of pressure with respect to volume at constant temperature ( ∂P/∂V )T . The second term, -T( ∂T/∂V )P , represents the negative product of temperature (T) and the partial derivative of temperature with respect to volume at constant pressure ( ∂T/∂V )P .
This equation suggests a relationship between the changes in pressure, energy, and volume, with temperature held constant. It states that the rate of change of pressure with respect to energy is determined by the combined effects of the partial derivatives of pressure with respect to volume and temperature. By understanding this equation and its implications, one can analyze and interpret the behavior of the variables involved in the thermodynamic system.
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Enter the pair of fractions as a pair of fractions with a common denominator denominator:1/2 and 2/5
ANSWER
5/10 and 4/10
EXPLANATION
We want to enter fractions given as a pair of fractions that have the same denominator.
The fractions given are:
1/2 and 2/5
To do that, we have to first find the lowest common multiple of the two denominators.
The denominators are:
2 and 5
Their lowest common denominator is 10, since it is the smallest number which is divisible by both numbers.
To put the first fraction in terms of a denominator of 10, we have to multiply the numerator and denominator by 5.
That is:
\(\frac{1\cdot\text{ 5}}{2\cdot\text{ 5}}\text{ = }\frac{5}{10}\)To put the second fraction in terms of a denominator of 10, we multiply the numberator and denominator by 2.
That is:
\(\frac{2\cdot\text{ 2}}{5\cdot\text{ 2}}\text{ = }\frac{4}{10}\)Therefore, the two fractions in terms of a common denominator are 5/10 and 4/10.
Find k if (x+1) 2x^3+kx^2+1
Find k if (x+1) is a factor of 2x³ + kx² + 1
Answer:
k = 1
Step-by-step explanation:The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.
This is because;
i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.
ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e
=> (-3)² - 9
=> (9) - 9 = 0
Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.
From the question
Given polynomial: 2x³ + kx² + 1
Given factor: x + 1.
Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e
2(-1)³ + k(-1)² + 1 = 0
2(-1) + k(1) + 1 = 0
-2 + k + 1 = 0
k - 1 = 0
k = 1
Therefore the value of k is 1.
can someone help me please
Answer:
0.0125 kg35000 g28.6 bucketsStep-by-step explanation:
Use a conversion factor that has the same value in the numerator and denominator. Choose the denominator units so they cancel the units you don't want. Choose the numerator units so they give you the units you do want.
Remember, 1000 g = 1 kg.
__
1.\(12.5\text{ g}\times\dfrac{1\text{ kg}}{1000\text{ g}}=0.0125\text{ kg}\)
__
2.\(35\text{ kg}\times\dfrac{1000\text{ g}}{1\text{ kg}}=35000\text{ g}\)
__
3.\(1000\text{ kg}\times\dfrac{1\text{ bucket}}{35\text{ kg}}\approx28.6\text{ buckets}\)
alice rode her bike about 0.05 km away. convert this distance into
meters.
Alice rode her bike about 50 meters away.
To convert 0.05 km to meters, we need to use the conversion factor:
1 km = 1000 m
Multiplying both sides by 0.05, we get:
0.05 km = 0.05 × 1000 m
Simplifying, we get:
0.05 km = 50 m
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what is the indentation diagonal length when a load of 0.700 kg produces a vickers hv of 650?
The Vickers hardness (HV) test calculates indentation diagonal length (d) when a load is applied to a material.
To determine d when a 0.700 kg load produces a Vickers HV of 650, use the formula: HV = 1.8544 * (F/d^2), where F is the force in Newtons (N) and d is in mm.
First, convert the load to Newtons: F = 0.700 kg * 9.81 m/s^2 ≈ 6.867 N. Next, rearrange the formula for d: d = √(1.8544 * F/HV). Substituting values: d = √(1.8544 * 6.867 N / 650) ≈ 0.044 mm.
So, the indentation diagonal length (d) is approximately 0.044 mm when a 0.700 kg load produces a Vickers HV of 650.
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How would you describe the graph for the equation lxl=2 ?
Two units down, line of symmetry at x=0, decreasing from negative infinity to 0, increasing from 0 to infinity
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Just remember that V=½×A×B×H
where B is the base not breadth.
solving this yourself will give you the answer.
PLEASE HURRY
what is the value of (-x)-y if x= (-1/5) and y=(-7/15)
Answer:
-10/15
Step-by-step explanation:
-1/5-7/15
-3/15-7/15
-10/15
Please give me brainliest!
in problems 13–20, solve the given initial value problem. 13. y′′ 2y′-8y = 0; y102 = 3, y′102 = -12
The solution to the initial value problem is:
y(t) = (-3/4) * e^(-4t+4) + (3/8) * e^(2t+8)
To solve a second-order linear homogeneous differential equation the equation is y′′ 2y′-8y = 0.
Given initial conditions: y(102) = 3 and y′(102) = -12.
To solve this differential equation, we can use the characteristic equation: r^2 + 2r - 8 = 0
Factoring this equation, we get: (r + 4)(r - 2) = 0
So the roots of the characteristic equation are r = -4 and r = 2.
The general solution to the differential equation is:
y(t) = c1 * e^-4t + c2 * e^2t
To find the values of c1 and c2, we can use the initial conditions.
We know that y(102) = 3, so we can substitute t = 2 into the general solution:
3 = c1 * e^-8 + c2 * e^4
We also know that y′(102) = -12, so we can take the derivative of the general solution and substitute t = 2:
y′(t) = -4c1 * e^-4t + 2c2 * e^2t
y′(102) = -4c1 * e^-8 + 2c2 * e^4 = -12
Solving for c1, we get:
c1 = (-3/4) * e^4 + (3/4) * e^-8
Solving for c2, we get:
c2 = (3/8) * e^8 - (3/8) * e^-4
Therefore, the solution to the initial value problem is:
y(t) = (-3/4) * e^(-4t+4) + (3/8) * e^(2t+8)
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8. ¿Cuál es la media de las calificaciones de los alumnos de quin-
to grado?
9, 9, 6, 8, 7, 9, 7, 6, 8,9, 8, 6, 7
a) 6.98
b) 7.75
c) 7.61
d) 9.03
geometry help please :)
Answer:
Medium to Line AC
Altitude to Line AC
Bisector of Angle B
Perpendicular bisector of Line AC
Step-by-step explanation:
We can tell that the Medium here is from line AC to angle B. The line is connecting the angle to the middle of the line, making it the medium and altitude. It is also a bisector of angle B because it is directly in the middle of that angle. It is a perpendicular bisector to line AC because it forms a 90 degree angle on the bottom.
#teamtrees #WAP (Water And Plant)
If y varies directly with x and y=-16 when x=8, find y when x=2
Answer:
y=-4
Step-by-step explanation:
The answer is going to be -4 as when y=-16 x=8.
a group of 12 men qnd 4 women. if 3 peoplee are selected at random from the group, what is the probability the are all men? the answer should be .3929 - please explain why, the formulas you use .and the different methods to use for this problem
If 3 people are selected at random from the group, then the probability that are all men is 0.3929 .
The probability of selecting all men from a group of 12 men and 4 women, without replacement, can be found using the formula for the probability of a combination ,
We can write , P(all men) = (number of ways to choose 3 men)/(total number of ways to choose 3 people) ,
The total number of ways to choose 3 people from a group of 16 is ,
⇒ ¹⁶C₃ = 560 ,
The number of ways to choose 3 men from a group of 12 men is ,
⇒ ¹²C₃ = 220 ,
So , the probability of selecting 3 men from the group is ,
⇒ P(all men) = ¹²C₃/¹⁶C₃ = 220/560 = 0.39285714 ≈ 0.3929 .
Therefore , the probability of selecting all men is approximately 0.3929.
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The given question is incomplete , the complete question is
A group of 12 men and 4 women. if 3 people are selected at random from the group, What is the probability the are all men?
How do you make and solve scatter plots?
Step-by-step explanation:
1-Select all the cells that contain data
2-Click on the Insert tab
3-Look for Charts group
4-Under Chart group, you will find Scatter (X, Y) Chart
5-Click the arrow to see the different types of scattering and bubble charts
6-You can pause the pointer on the icons to see the preview in your document
7- Click on Scatter Chart
8-On Clicking, you will see the scatter chart.
9-You can quickly edit the chart by clicking the icons available on the right side of the chart
Answer:
You take the numbers from the table and use them as Courdanants
Step-by-step explanation
You then graph the numbers
How hot is the air in the top of a hot air balloon?
Information from Ballooning: The Complete Guide to
Riding the Winds, by Wirth and Young, claims that the
air in the top (crown) should be an average of 100°C
for a balloon to be in a state of equilibrium.
However, the temperature does not need to be exactly
100°C.
Suppose that 56 readings game a mean temperature
of x=97°C. For this balloon, o=17°C.
compute a 90% confidence interval for the average temperature at which this balloon will be in a steady state of equilibrium. round to 2 decimals
n =
xbar =
sigma =
c-level =
Zc =
The 90% confidence interval for the average temperature at which this balloon will be in a steady state of equilibrium is approximately 93.47°C to 100.53°C.
What is a confidence interval?
A confidence interval is a statistical range of values within which an unknown population parameter, such as a mean or a proportion, is estimated to fall with a certain level of confidence. It is a measure of the uncertainty associated with estimating a population parameter based on a sample.
According to the given information:
Based on the given information:
n = 56 (number of readings)
xbar = 97°C (mean temperature)
sigma = 17°C (standard deviation)
c-level = 90% (confidence level)
To compute the 90% confidence interval for the average temperature at which this balloon will be in a steady state of equilibrium, we can use the following formula:
Confidence Interval = xbar ± (Zc * (sigma / sqrt(n)))
where:
xbar is the sample mean
Zc is the critical value corresponding to the desired confidence level (c-level)
sigma is the population standard deviation
n is the sample size
First, we need to find the Zc value for a 90% confidence level. The Zc value can be obtained from a standard normal distribution table or using a calculator or software. For a 90% confidence level, Zc is approximately 1.645.
Plugging in the given values:
xbar = 97°C
Zc = 1.645
sigma = 17°C
n = 56
Confidence Interval = 97 ± (1.645 * (17 / sqrt(56)))
Now we can calculate the confidence interval:
Confidence Interval = 97 ± (1.645 * (17 / sqrt(56)))
Confidence Interval = 97 ± (1.645 * 2.1416)
Confidence Interval = 97 ± 3.5321
Rounding to 2 decimals:
Confidence Interval ≈ (93.47, 100.53)
So, the 90% confidence interval for the average temperature at which this balloon will be in a steady state of equilibrium is approximately 93.47°C to 100.53°C.
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When x is 6, then y is
x: 2 3 4 5 6
y:-3 -2 -1 0 ?
Complete the table.
Answer:
1
Step-by-step explanation:
for the equation of finding y is x - 5 = y
2 - 5 = -3
3 - 5 = -2
4 - 5 = -1
5 - 5 = 0
6 - 5 = 1, therefore, y is 1
Answer:
1
Step-by-step explanation:
Hope it help
Mark me as brainliest
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and
last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch
1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show
2. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sente
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use comples
4. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a
5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for
sentences, explain how the graphs of the functions for the two months are similar and how they are different.
02.03 Key Features of Linear Functions-Option 1 Rubric
Requirements
Student changes equation to slope-intercept form. Student shows all work and identifies the slope and y-intercept of the
Student writes a description, which is clear, precise, and correct, of how to graph the line using the slope-intercept meth
Student changes equation to function notation. Student explains clearly what the graph of the equation represents.
Student graphs the equation and labels the intercepts correctly.
Student writes at least three sentences explaining how the graphs of the two equations are the same and how they are different.
1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.
2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.
3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.
4. A graph of the function with intercepts is shown below.
5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.
How to change the equation to slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;
2x + 3y = 1,470
By subtracting 2x from both sides of the equation and dividing by 3, we have:
2x + 3y - 2x = 1,470 - 2x
y = -2/3(x) + 490
Therefore, the slope is -2/3 and the y-intercept is 490.
Part 2.
In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.
Part 3.
Next, we would write the equation in function notation as follows;
f(x) = -2/3(x) + 490
where:
f(x) represents the number of wrap lunch sold.x is the number of sandwich lunch sold.The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.
Part 4.
In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.
Part 5.
Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:
2x + 3y = 1593; y = -2/3(x) + 531.
2x + 3y = 1,470; y = -2/3(x) + 490.
In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.
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Complete Question:
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
FILL IN THE BLANK. to determine the proportion of each color of Peanut Butter M&Ms, you buy 10 1.69 ounce packages and count how many there are of each color. This is an example of ______
This is an example of a sample survey or a sampling method.
What is sampling method?Sampling techniques in a statistical study refer to how participants are chosen from the population to participate in the study. If a sample isn't chosen at random, it will likely be skewed in some way, and the results might not be generalizable.
In the given scenario, you are conducting a sample survey to determine the proportion of each color of Peanut Butter M&Ms. A sample survey is a method used to collect data from a subset of a larger population in order to make inferences about the entire population.
Instead of counting every single Peanut Butter M&M in existence, which would be impractical and time-consuming, you decide to take a smaller representative sample. You purchase 10 packages of Peanut Butter M&Ms, each weighing 1.69 ounces, and count the number of M&Ms of each color in those packages.
By analyzing the data collected from this sample, you can estimate the proportion of each color of Peanut Butter M&Ms in the larger population. This approach is more feasible and provides a reasonable approximation of the overall distribution of colors without having to examine every individual item.
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2/5^x=0.08
solve for x
Answer:
x= 2
Step-by-step explanation:
1. Determine the defined range
2/5x = 0.08
2. Multiply both sides of the equation by 5 to the power of x
2= 0.08 x 5x
3. Swap the sides of the equation
0.08 = 5x = 2
4. Divide both sides by 0.08
5x = 25
5. write the number in exponential form with the base of 5
5x = 5 to the power of 2
6. Since the bases are the same, set the exponents equal
x=2