The answer of the given question based on the inequality is so the point (-3,2) satisfies the inequality 2x - y <= 8.
What is variables?A variable is a symbol or letter that represents a quantity that can take on different values. Variables are used to express relationships between quantities and to solve equations and problems. Variables are often represented by letters such as x, y, or z. These letters can represent different values depending on the context. For example, in the equation y = 2x + 3, x is the variable and can represent any number, while y depends on the value of x.
To write an inequality with two variables that has the point (-3,2) as a solution, we can use the inequality symbol "<=" or ">=" and express the equation in terms of x and y.
For example, the inequality 2x - y <= 8 has the point (-3,2) as a solution. To check, we can substitute x=-3 and y=2 into the inequality and see if it is true:
2(-3) - 2 <= 8
-6 - 2 <= 8
-8 <= 8
This is true, so the point (-3,2) satisfies the inequality 2x - y <= 8.
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If you’re correct I’ll give u brainlist!!
Answer:
The triangles are not congruent.
Write 5 600 000 in standard form.
Step-by-step explanation:
5.6 × 10⁶
hope it's helpful
a bus arrives at 2:30 p.m. in Sydney if it left port if it left port Macquarie at 6.15 a.m the trip took
Answer:
Step-by-step explanation
Left at 6:15 am
How many hours until 2:15pm? 8 hours
How many minutes from 2:15 until 2:30? 15
So it took 8 hours and 15 minutes
he staff also created 80%, 90%, and 99% confidence intervals from one sample, but we forgot to label which confidence interval represented which percentages! Match the interval to the percent of confidence the interval represents. (Write the percentage after each interval below.) Then, explain your thought process.
To match the confidence intervals with their respective percentages, you should compare the widths of the intervals. Confidence intervals with higher percentages (confidence levels) will be wider, as they include more data points from the sample.
1. Interval A: __%
2. Interval B: __%
3. Interval C: __%
Confidence intervals are a range of values that provide an estimate of the true population parameteric based on a sample of data. The percentage of confidence associated with the interval represents the likelihood that the true parameter falls within that range.
Typically, a higher percentage of confidence corresponds to a wider interval, as there is a greater likelihood that the true parameter falls within that range. Therefore, in order to match the interval to the percent of confidence it represents, you would need to consider the width of the interval and the corresponding likelihood of the true parameter falling within that range.
Once you have identified the widest interval, you can assign it the lowest percentage of confidence, and then work your way up to the narrower intervals, assigning them higher percentages of confidence based on their respective widths. Finally, you would label each interval with the appropriate percentage of confidence.
Compare the widths of the intervals. The widest interval corresponds to the 99% confidence level, the second widest to the 90% confidence level, and the narrowest to the 80% confidence level. Once you identify the widths, fill in the appropriate percentage after each interval.
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What is the slope of the line through (-2,-6) and (2, 2)?
Choose 1 answer
2.
B В
1
2
-2
D
1
2
Answer:
The slope is 2
Step-by-step explanation:
Q:
What is 9.687-3.699?
Answer:
5.988
Step-by-step explanation:
_9.687
3.699
=5.988
On the right triangle shown below, calculate the height of the traffic
light. Round your answer to the nearest whole number. Enter the
value without units.
Answer:
x = 14
Step-by-step explanation:
Tan 25 = \(\frac{opposite}{adjacent}\)
Where opposite = x, Adjacent = 30 m
=> 0.466 x 30 = x
=> x = 14
Answer:
\(\Huge \boxed{\mathrm{14 \ meters}}\)
Step-by-step explanation:
We can use trigonometric functions to solve for the problem.
\(\displaystyle \sf tan( \theta )=\frac{opposite \ side}{adjacent \ side}\)
Plug in the values and evaluate.
\(\displaystyle \sf tan( 25\° )=\frac{x}{30}\)
Multiply both sides by 30.
\(\displaystyle \sf 30 \cdot tan( 25\° )=x\)
\(\sf x=13.98922974...\)
The height of the traffic light is 14 meters (rounded to nearest whole number).
0.006 Reapting in a fraction in simplest form
Answer:
3/500
Step-by-step explanation:
6/1000 ÷2 =
3/500
If t(n) = 15 - 2.5n, how do I find t1,t2,t3,and tn+1? I also have to express tn+1-tn in its simplest form.
Answer:
Just substitute, and the simplified form is 1
Step-by-step explanation:
Substitute the values needed into the original equation. For example, if n=1
t(1)=15-2.5(1)=15-2.5=12.5. Or, if tn+1 substitute f(tn+1)=15-2.5(tn+1) and simplify.
tn+1-tn in its simplest form is just 1, as tn and -tn cancel out to leave 1.
what is an appropriate way to visualize a list of the eye colors of 120 people? select all that apply.
The appropriate way to visualize a list of the eye colors of 120 people is pie chart and dot plot.
A pie chart is a circular statistical graphic in which the slices represent numerical proportions. In a pie chart, the arc length of each slice reflects the amount it stands for.
Pie charts can be used to show percentages of a whole group and show percentages at a particular moment. In contrast to bar graphs and line graphs, pie charts do not show changes over time.
A dot plot, also known as a strip plot or dot chart, is a simple style of data visualization in which data points are shown as dots on a graph with an x- and y-axis.
The things you and your partner choose to eat are a wonderful example.
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The following question may be like this:
What is an appropriate way to visualize a list of the eye colors of 120 people? select all that apply.
pie chart box plotscatter plotdot plot.If log x = 2 log a + log b, then x equals
Answer:
x = a^2 b
Step-by-step explanation:
log x = 2 log a + log b
We know that
c log d = log d^c
log x = log a^2 + log b
We know that log c* log d = log cd
log x = log a^2 b
Since they are both logs
x = a^2 b
Please find attached photograph for your answer.
Solve each problem. Explain or show your reasoning.
What is 25% of 160?
What is 39% of 200?
What is 150% of 32?
13 is 50% of what number?
18 is 120% of what number?
21 is what percentage of 30?
Answer:
1.40
2.78
3.38
4.26
5.15
6.70
Step-by-step explanation:
Ok 160 split all in sections of 25 there are gonna be 15 left wich goes to the 60=15
25 to each
25+15= 40
and the same thing you do with all!
Thank you!
the model below, the anchor of a guy-wire is 16 feet away from the telephone pole. John puts a 5 foot pole under the guy-wire parallel to the telephone pole (see image below).
John knows the distance he put his pole from the anchor, which is labeled X. John says he can use similar triangles to calculate the height of where the guy-wire meets the telephon
ble.
o you agree with John's statement that he can prove similarity if we know side x? Provide mathematical justification.
h
5 ft
16 ft
В І у
Answer:
Yes, because the two triangles share common segments.
910 in scientific notation
910 is 9.1 × 10^2 in scientific notation
how do I know what is the segment of a triangle?
The segment of a triangle is the median of the triangle. This is the line that join a vertex of the triangle to the opposite side of the triangle.
Crispy Clover, a popular vegetarian restaurant, introduced a new menu that has 20\%20%20, percent more dishes than the previous menu. The previous menu had DDD dishes.
Which of the following expressions could represent how many dishes Crispy Clover's new menu has?
Choose 2 answers:
Choose 2 answers:
The expressions that could represent how many dishes Crispy Clover's new menu has include:
1.2D
1 + (20% × D)
Which of the expressions could represent the dishes Crispy Clover's new menu has?An expression refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
.
Since Clover, a popular vegetarian restaurant, introduced a new menu that has 20 percent more dishes than the previous menu.
This will be illustrated as:
D + (20% × D)
= D + 0.2D
= 1.2D
This illustrates the equation.
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In which quadrant is the coordinate pair (-11, 1) located?
A. IV
b. I
c. II
d. III
help algebra 2 look at all the pictures please multiple choice
Relation given:-
{(-2,5),(-1,3),(0,-1),(1,-3),(2,-5),(3,-7)}Inverse
{(5,-2),(3,-1),(-1,0),(-3,1),(-5,2),(-7,3)}#2
f(x)=2x-3Let it be y
\(\\ \tt\hookrightarrow y=2x-3\)
\(\\ \tt\hookrightarrow 2x=y+3\)
\(\\ \tt\hookrightarrow x=y+3/2\)
Write in terms of x
\(\\ \tt\hookrightarrow f^{-1}(x)=\dfrac{x+3}{2}\)
PLS HELP, I DONT UNDERSTAND
8.
Consider a function which takes certain values, as shown in the table below.
--
x | -2 | 0 | 3 | 8 |
y | 10 | 6 | 0 | -10 |
Find the average rate of change between x = -2 and x = 0
A slope is also known as the gradient of a line. The average rate of change between x = -2 and x = 0 is -2.
What is the Slope?A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line. The slope of the line can also be defined as the rate of change.
The average rate of change will be the slope of the line representing the points. The slope is needed to be found between x=-2 and x=0, now the coordinates lying between x=-2 and x=0 are (-2,10) and (0,6).
The slope of the line will be,
m = (6-10)/(0-(-2)) = -4/2 = -2
Hence, the average rate of change between x = -2 and x = 0 is -2.
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Differentiate the following function F(x)Ã gnments F(x)= (x5 -6x)2 jdy Plan A-¡ ii x-A>> X Li. adebooK hapter = (x^5 - 6x)^2
Differentiating F(x) gives 10\(x^{9}\) - 72\(x^{5}\) + 72\(x\).
Differentiation, also referred to as derivatives, determines the rate at which one variable changes in relation to another, in this case, f(x) in relation to x. Finding the greatest or minimum conditions, or the best solution, is possible through differentiation. There are certain fundamental guidelines for differentiating functions.
lf c is any real number and if f(x) = c for all x, then f ' (x) = 0 for all x . That is, the derivative of a constant function is the zero function.
Partial derivatives in calculus are derivatives of multivariate functions taken with respect to only one variable in the function, treating other variables as though they were constants.
F(x) = (\(x^{5}\) -6\(x\))²
= \(x^{10}\) -12\(x^{6}\) + 36\(x^{2}\)
dF(x)/dx = d( \(x^{10}\) -12\(x^{6}\) + 36\(x^{2}\) )/dx
= 10\(x^{9}\) -12 (6\(x^{5}\)) + 36(\(2x\))
= 10\(x^{9}\) - 72\(x^{5}\) + 72\(x\)
Thus, differentiating F(x) gives 10\(x^{9}\) - 72\(x^{5}\) + 72\(x\).
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A twelve pack of Orange Crush is priced at $3.00. What is the unit rate or the price per soda?
Divide price by quantity:
3.00 / 12 = $0.25 per can.
The Sun appears about 8.4 times as large as Deimos in the Martian sky. It takes Deimos approximately 550 of its diameters to transit the shadow of Mars during a lunar eclipse. Using these values, a radius for Mars of 3,000,000 m, a ratio of Sun-from-Mars distance to Deimos-from-Mars distance of 365,000, calculate the radius of Deimos to one significant digit in meters
The radius of Deimos to one significant digit in meters is approximately 9.4 m
.
Given the ratio of the Sun-from-Mars distance to Deimos-from-Mars distance is 365,000, the distance between Mars and Deimos can be found to bedeimos distance = Sun-Mars distance / 365,000
Next, we can find the diameter of Deimos by noting that 550 of its diameters is equal to the distance it takes to transit the shadow of Mars during a lunar eclipse.
Let's call the diameter of Deimos "d", so we can
diameter = 1/550 * deimos distance
Finally, the Sun appears about 8.4 times as large as Deimos in the Martian sky. If we call the radius of Deimos "r", then the radius of the Sun is 8.4r.
Using the information given, we can set up the following equation:
deimos distance / (3,000,000 + r) = 8.4r / (3,000,000)Simplifying and solving for r,
we get:r = 9.39 m (rounded to one significant digit)
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A quiz consists of 10 multiple choice questions, each with five possible answers, one of which is correct. To pass the quiz a student must get 60% or better on the quiz. If a student randomly guesses, what is the probability that the student will pass the quiz?
According to government data, the probability that an adult was never in a museum is 15%. In a random survey of 10 adults, what is the probability that at least eight were in a museum?
(Show All Work)
The probability of students passing the exam is 0.036.
The counted probability of 8 people being present in museum is 0.375
Probability refers to the occurrence of an event taking place.
the probability of getting a correct answer is 1/5 and a wrong answer is 4/5using formula,
P = (X = k) = ( n take k )*\(p^{k}\)*\((1-p)^{(n-k)}\)
staging the values
P = (X=6) = (10 take 6)\(*(1/5)^{6}* (4/5)^{4}\)
≈ 0.026
probability when 7 questions are correct
P = (X =7) = ( 10 take 7)\(*(1/5)^{7}*(4/5)^{3}\)
≈ 0.008
probability when 8 questions are correct
P = (X =8) = ( 10 take8)\(*(1/5)^{8}*(4/5)^{2}\)
≈ 0.001
probability when 9 questions are correct
P = (X =9) = ( 10 take 9)\(*(1/5)^{9}*(4/5)^{1}\)
≈ 0.00003
probability when 10 questions are correct
P = (X =10) = ( 10 take 10)\(*(1/5)^{10}*(4/5)^{0}\)
≈ 0.00001
the probability that the student will pass
P(pass) = P(X≥6)
=P(X=6)+P(X =7) +P(X =8)+P(X =9)+P(X =10)
≈0.036
The probability of students passing the exam is 0.036.
let us consider x as the number of adults who were present in a museum.P(X≥8) =P(X =8)+P(X =9)+P(X =10)
≈ (10 take 8)\(*(0.85)^{8}*(0.15)^{2}\)+(10 take 9)\(*(0.85)^{9}*(0.15)^{1}\)
+(10 take 10)\(*(0.85)^{10}*(0.15)^{0}\)
≈ 0.375
The counted probability of 8 people being present in museum is 0.375
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Calculate the Land Transfer Tax on a house for 248000
Answer:Calculate the Land Transfer Tax on a house for 248000
Calculation example
1.multiply $55,000 by 0.5% (55,000 × 0.005) = $275.
2.multiply the amount exceeding $55,000 up to $250,000 by 1.0% (195,000 × 0.01) = $1,950.
3.multiply the amount exceeding $250,000 up to $400,000 by 1.5% (150,000 × 0.015) = $2,250.
Step-by-step explanation:
how close to the edge of a 20.0kg table (shown above) can a 66.0kg adult sit without tipping it over?
The adult can sit at a distance of (10.0 kg * L) / 66.0 kg from the edge of the table without tipping it over, where L is the length of the table. We use the principle of torque.
To determine how close to the edge of a 20.0 kg table a 66.0 kg adult can sit without tipping it over, we need to consider the principle of torque.
The torque acting on the table can be calculated as the product of the weight (force) and the distance from the pivot point (edge of the table). In this case, the pivot point is the edge of the table, and we want to find the maximum distance where the torque is balanced.
Let's assume the table is uniform and has a center of mass at its midpoint. The center of mass is located at a distance of 10.0 kg * (L/2), where L is the length of the table. For the table to remain in equilibrium, the torque due to the adult sitting on one side must be equal and opposite to the torque due to the table's weight.
Let x represent the distance from the edge of the table where the adult is sitting. The torque due to the adult is\(66.0 kg * 9.8 m/s^2 * x,\) while the torque due to the table's weight is \(20.0 kg * 9.8 m/s^2 * (L/2).\)Setting these torques equal, we have \(66.0 kg * 9.8 m/s^2 * x = 20.0 kg * 9.8 m/s^2 * (L/2).\)
Simplifying, x =\((20.0 kg * 9.8 m/s^2 * (L/2)) / (66.0 kg * 9.8 m/s^2).\)
The factors of 9.8 m/s^2 cancel out, and we are left with x = (20.0 kg * (L/2)) / 66.0 kg.
Simplifying further, x = (10.0 kg * L) / 66.0 kg.
Therefore, the adult can sit at a distance of (10.0 kg * L) / 66.0 kg from the edge of the table without tipping it over.
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One sheet of aluminum is 0.229 incg thick. How thick is a stack of 31 sheets if aluminum?
The stack of 31 sheets of aluminum will be approximately 7.099 inches thick.
- One sheet of aluminum is 0.229 inches thick.
- To find the thickness of a stack of sheets, we need to multiply the thickness of one sheet by the number of sheets.
- So, to find the thickness of 31 sheets of aluminum, we need to multiply 0.229 inches by 31.
- 0.229 x 31 = 7.099 inches.
- Therefore, the stack of 31 sheets of aluminum will be approximately 7.099 inches thick.
To determine the thickness of a stack of 31 sheets of aluminum, we need to consider the thickness of one sheet and then multiply it by the number of sheets in the stack.
Firstly, we are given that one sheet of aluminum is 0.229 inches thick. This means that if we were to measure the thickness of one sheet using a ruler or calipers, we would get a reading of 0.229 inches.
Next, we need to find the thickness of 31 sheets of aluminum. To do this, we need to multiply the thickness of one sheet by the number of sheets. This can be expressed as:
Thickness of stack = Thickness of one sheet x Number of sheets
Substituting the values we have:
Thickness of stack = 0.229 x 31
Multiplying these two values gives us:
Thickness of stack = 7.099 inches
Therefore, the stack of 31 sheets of aluminum will be approximately 7.099 inches thick.
In conclusion, we can determine the thickness of a stack of sheets by multiplying the thickness of one sheet by the number of sheets. In this case, we were given the thickness of one sheet of aluminum and the number of sheets in the stack, which allowed us to calculate the thickness of the entire stack.
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If the value of y varies directly with x, which function represents the relationship between x and y when y= 16/5 and x = 20?
Not sure if this is the answer but this is what I got
Answer: y= 4/25 x
graph the equation on the coordinate plane. y = 4x
The graph of the equation, y = 4x, is shown below.
How to Graph an Equation on a Coordinate Plane?Given an equation, for example, y = 4x, to plot it on a coordinate plane, we need to find the coordinates of the line that we would plot and connect together to graph the equation.
Find the corresponding y-values when x = 1, x = 2, and x = 3. To do this, see the steps below:
Substitute x = 1 into y = 4x:
y = 4(1)
y = 4
We have a point, (1, 4).
Substitute x = 2 into y = 4x:
y = 4(2)
y = 8
We have another point, (2, 8).
Substitute x = 3 into y = 4x:
y = 4(3)
y = 12
We have a third point, (3, 12).
Plot the three points on a coordinate plane as shown below to get the graph of the equation.
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In the future, Free Corporation, will receive $520,000. If the future receipt is discounted at an interest rate of 12% and its present value is $210,018 in how many years is the $520,000 received? a. 9 years: b. 6 years c. 7 years d. 8 years
The future receipt is discounted at an interest rate of 12% and its present value is $210,018 in 7 years is the $520,000 received.
The formula for calculating present value is:
PV = FV / (1 + r)^n
Where:
PV = Present Value
FV = Future Value
r = Interest Rate
n = Number of years
Rearranging the formula to solve for 'n' (number of years):
n = log(FV / PV) / log(1 + r)
Plugging in the given values:
PV = $210,018
FV = $520,000
r = 12% or 0.12
n = log(520,000 / 210,018) / log(1 + 0.12)
Using a calculator, we can find the approximate value of 'n':
n ≈ 7.2 years
Therefore, in approximately 7.2 years, the $520,000 will be received. Rounding to the nearest whole number, the answer is (c) 7 years.
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Dwayne puts $200.00 into an account to use for school expenses. The account earns 9% interest, compounded quarterly. How much will be in the account after 4 years? nt 1 Use the formula A = P 1 + where A is the balance (final amount), P is the principal (starting n amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years. Round your answer to the nearest cent.
Solution
For this case we can use the following formula:
\(A=P(1+\frac{r}{n})^{nt}\)where:
P= 200
r= 0.09
n = 4
t= 4
And solving we got:
\(A=200(1+\frac{0.09}{4})^{4\cdot4}=285.52\)