Graph the following equaitons using a table. 2y=x+2
Given that 2y = x + 2
To graph the following equation, we need two solutions
To find x, put y = 0
\(\begin{gathered} 2y\text{ = x + 2} \\ \text{Let y = 0} \\ 2(0)\text{ = x + 2} \\ 0\text{ = x + 2} \\ 0\text{ - x= 2} \\ -x\text{ = 2} \\ x\text{ = -2} \\ (-2,\text{ 0)} \end{gathered}\)To find y, put x = 0
\(\begin{gathered} 2y\text{ = x + 2} \\ \text{let x = 0} \\ 2y\text{ = 0 + 2} \\ 2y\text{ = 2} \\ \text{Divide both sides by 2} \\ \frac{2y}{2}\text{ = }\frac{2}{2} \\ y\text{ = 1} \\ \text{Hence, (0, 1)} \end{gathered}\)The two solutions to be graph is (-2, 0) and (0, 1)
Micro the highest score he made of his new video game as the product of 70 * 6,000 use the surgery and community property to show how mark can calculate this product mentally
Micro's highest score in his new video game is 420,000.
To calculate the highest score Micro made in his new video game, we can use the associative property of multiplication. The associative property states that the grouping of numbers being multiplied does not affect the product.
Given that Micro's highest score is the product of 70 * 6,000, we can use the associative property to break down the calculation mentally.
Step 1:
Multiply 70 by 6,000:
70 * 6,000 = 420,000
Step 2:
Now, let's apply the associative property. We can break down 6,000 into two parts: 6,000 = 100 * 60.
Step 3:
Multiply 70 by 100:
70 * 100 = 7,000
Step 4:
Multiply the result from Step 3 by 60:
7,000 * 60 = 420,000
Therefore, Micro's highest score in his new video game is 420,000.
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(a) Describe the sampling distribution of the sample mean QDA
score, x¯, for random samples of 100 dogs from the population.
The sampling distribution of the sample mean QDA score, X, for random samples of 100 dogs from the population is a normal distribution with a mean equal to the population mean.
The normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size describes the sampling distribution of the population-wide random sample of 100 dogs' mean QDA scores, X.
The population mean is the same as the mean of the sample distribution. A population is the entire group of individuals or objects that we want to study, and a sample is a subset of the population that we actually collect data from.
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On a field trip to the farm, students counted a combined total of 27 sheep
and cows. There are 15 more sheep than cows. If s represents the number
of sheep and c represents the number of cows, which system of equations
correctly represents this situation
Answer:
s = c + 15
s + c = 27
substitute for s:
(c + 15) + c = 27
2c = 12
c = 6
s = 21
The system of equation which correctly represents the situation is s + c = 27 and s - c = 15.
What does a System of Linear Equations define?Linear equations involve one or more expressions including variables and constants and the highest exponent of the variable is 1.
System of linear equations involve two or more linear equations.
Given that,
Combined total of sheep and cows = 27
Number of sheep = Number of cows + 15
Let s represents the number of sheep and c represents the number of cows.
s + c = 27
s = c + 15 ⇒ s - c = 15
Hence the system of equation is s + c = 27 and s - c = 15.
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Write an equation in whatever form you choose with the given characteristics Parallel to y = 3/5x - 8 and passes through (0, -3)
Answer (this one's written in slope-intercept form):
\(y= \frac{3}{5}x -3\)
Step-by-step explanation:
1) Lines that are parallel to each other have the same slope. The line \(y=\frac{3}{5} x-8\) is in slope intercept form, or \(y = mx + b\) form, and the number in place of \(m\) represents the slope. Knowing this, it looks like \(\frac{3}{5}\) is in the place of the \(m\) in that equation, so \(\frac{3}{5}\) is the slope - and the slope we need to use for the answer, too.
2) Once you know a point that the line must pass through and a slope, you can write an equation with point-slope form, or \(y-y_1 = m (x - x_1)\). \(m\) is the slope and \(x_1\) and \(y_1\) are the x and y values of the point it must pass through. So, substitute \(\frac{3}{5}\) for \(m\), 0 for \(x_1\), and -3 for \(y_1\). Simplify and isolate y to put it in slope-intercept form:
\(y-(-3) = \frac{3}{5} (x - 0) \\y + 3 = \frac{3}{5} x - 0 \\y = \frac{3}{5} x - 3\)
3) Thus, \(y = \frac{3}{5} x - 3\\\) is the answer. It's written in slope-intercept form.
The floor of a rectangular room measures 5m by 4m and the ceiling is 3m from the floor. An ant is at the top of a corner of the room and crawls to the opposite bottom corner of the room. Find the shortest distance it can travel. (Cannot do its diagonal distance)
Answer:
12 m
Step-by-step explanation:
Well, imagine you got this nice room. How can it reach the other corner? It has to go along the 3 dimensions. So the shortest path would be: 5 + 4 + 3 12m
Answer:
3 + √(41) = 9.4 m (nearest tenth)
Step-by-step explanation:
The room can be modeled as a rectangular prism with:
width = 4 mlength = 5 mheight = 3 mIf the ant is at the top of a corner of a room and crawls to the opposite bottom corner of the room, the shortest distance will be to travel down one vertical edge of the room then to travel the diagonal of the floor of the room (or to travel the diagonal of the ceiling and then one vertical edge).
Vertical edge = height of room = 3m
The diagonal of the floor (or ceiling) is the hypotenuse of a right triangle with legs of the width and length. Therefore, to find the diagonal, use Pythagoras Theorem.
Pythagoras Theorem
\(a^2+b^2=c^2\)
where:
a and b are the legs of the right trianglec is the hypotenuse (longest side) of the right triangleGiven:
a = width = 4 mb = length = 5 mc = diagonalSubstitute the given values into the formula and solve for c:
\(\implies 4^2+5^2=c^2\)
\(\implies c^2=41\)
\(\implies c=\sqrt{41}\)
Therefore, the shortest distance the ant can travel is:
⇒ 3 + √(41) = 9.4 m (nearest tenth)
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i am a 2 digit number that is divisible by 3 and 6 but not 4 and 5. The sum of my digits is and odd number it is not multiple of the difference between the digits is an odd number, what number am i?
Answer: 36
Step-by-step explanation:
The number that meets all the conditions is 36. It is divisible by 3 and 6, but not by 4 and 5. The sum of the digits is 9, which is an odd number, and the difference between the digits is 3, which is also odd. an incomparable number.
triangle xyz is similar to triangle abc solve for k
Answer:
k = 13.5
Step-by-step explanation:
We can use ratios to solve
3 4.5
---- = ---------
9 k
Using cross products
3k = 9*4/5
Divide each side by 3
3k/3 = 9*4.5/3
k =13.5
Emily asked the players on her volleyball team their height in inches and listed the results below. What is the range of the data set? Round to the nearest tenth when necessary. 70, 70, 70, 60, 65, 67
Answer:
the range is 10
Step-by-step explanation:
70 is the highest and 60 is the lowest
70-60=10
Which graph represents the solution for the equation 1/6x=-2x+5
Write the slope-intercept form of the equation of the line satisfying the given conditions.
Through (-2,4); slope: -3/4
Write the equation in slope-intercept form.
(Simplify your answer. Type your answer in slope-intercept form.)
I’m pretty sure it’s y = 0x+4
Solve for x: 2x-4/5=x+4
2x-4=5x+20
-3x=24
x=-8
Answer:
2x -4/5 = x + 4
2x -4 /5× 5 = 5(x +4)
2x -4 = 5x +20
2x -4+4 = 5x +20+4
2x = 5x +24
2x -5x = 5x-5x+24
-3x = 24
-3x/-3 = 24/-3
x = -8
hope that will help you
Question
Solve the system of linear equations by substitution.
y=2x+5
y=3x−1
2x + 5 = 3x - 1
x = 6
y = 17
please give brainliest
What is the circumference of the circle with a radius of 1.5 meters? Approximate using π = 3.14.
9.42 meters
7.07 meters
4.64 meters
4.71 meters
Answer:
9.42 meters
Step-by-step explanation:
radius= 1.5
double the radius to get the diameter
diameter= 3
to find the circumference the equation is π × d
3.14 × 3= 9.42
circumference= 9.42
Answer: B
The guy above is wrong! The correct answer is 7.07, and I double checked with a circumference calculator.
Step-by-step explanation:
-To find the circumference of a circle, you can use the formula C = πd.
-By using this formula the answer found is 7.07
This is 100% the right answer, trust me.
Brainliest?
How to solve 1.25 x 10^-4
Answer:
0.000125x
Step-by-step explanation:
a circle has a center located at 2 5 and passes through the point 10 3 answer
Determine the equation of the circle. Show how you arrived at your answer.
Write the equation of the tangent line to the circle at the point . Show how you determined your answer.
Answer:Explanation: The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. If a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.
Step-by-step explanation:
The circle equation has a center located at (2, 5) and passes through the point (10, 3) is (x - 2)² + (y - 5)² = 68
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The circle has a center located at (2, 5) and passes through the point (10, 3), hence:
\(Radius=\sqrt{(3-5)^2+(10-2)^2}=8.25\)
The equation of the circle is:
(x-2)² + (y-5)² = 8.25²
(x - 2)² + (y - 5)² = 68
The circle equation has a center located at (2, 5) and passes through the point (10, 3) is (x - 2)² + (y - 5)² = 68
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Simplify each expression 2x-5y. If x=2/3 and y=1/4
Answer:
1/2
Step-by-step explanation:
2x - 5y
2(2/3) - 5(1/4)
(2/1 x 2/3) - (5/1 x 1/4)
(4/3) - (5/4)
(4/3 x 4/4) - (5/4 x 3/3)
16/12 - 15/12
1/12
Answer:
\(\frac{1}{12}\)
Step-by-step explanation:
\(2x-5y=\\\\2(\frac{2}{3})-5(\frac{1}{4})=\\\\\frac{4}{3}-\frac{5}{4}=\\\\\frac{16}{12}-\frac{15}{12}=\\\\\frac{1}{12}\)
The following data points represent the number of losses the Minnesota Igloos have had each season. 10,9,12, 10, 11, 12, 11 Using this data, create a dot plot where each dot represents a season. 9 10 11 12 Number of losses
Here's a dot plot for the number of losses for each season for the Minnesota Igloos:
9 | *
10 | * *
11 | * * *
12 | * *
Each dot represents a season, and the vertical axis represents the number of losses. The seasons with the same number of losses are stacked on top of each other.
Minnesota Igloos Loss PlotTo create the dot plot, I followed these steps:
I listed the unique values of the number of losses on the vertical axis, from the smallest value to the largest value.For each value on the vertical axis, I placed a dot for each season with that number of losses.I stacked the dots on top of each other for each value on the vertical axis that had more than one season with that number of losses.By following these steps, I was able to visually represent the distribution of the number of losses for each season for the Minnesota Igloos in the form of a dot plot.
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‼️WILL MARK BRAINLIEST‼️
How do I find the 15th term of this problem?
Answer:
130
Step-by-step explanation:
Given,
AP : 18, 26, 34, ...
To find : 15th term
15th term is t15.
AP : 18, 26, 34, ...
Here,
a = 18
d = 26 - 18 = 8
Formula : -
an = a + ( n - 1 )d
t15
= 18 + ( 15 - 1 )8
= 18 + 14 ( 8 )
= 18 + 112
= 130
Therefore, the 15th term is 130.
If someone ran a 3.1 mile race in about 25 minutes about how many minutes per mile did she run
We need to divide the number of minutes by the number of miles, as follows:
\(\frac{25\text{ minutes}}{3.1\text{ miles}}=8.06\frac{\text{ minutes}}{\text{ mile}}\)She runs 8.06 minutes per mile
The following data shows the daily production of cell phones. 7, 10, 12, 15, 18, 19, 20. Calculate the Mean, Variance and Standard Deviation of production of cell phones. Show your work in the space provided for: a) Mean b) Variance per Day c) Standard Deviation 16 SB
The following data shows the daily production of cell phones. 7, 10, 12, 15, 18, 19, 20. Mean The formula for finding the mean is: mean = (sum of observations) / (number of observations).
Therefore, the mean for the daily production of cell phones is: Mean = (7+10+12+15+18+19+20) / 7
= 101 / 7
Mean = 14.43
Variance The formula for finding the variance is: Variance = (sum of the squares of the deviations) / (number of observations - 1) Where the deviation of each observation from the mean is: deviation = observation - mean First, calculate the deviation for each observation:7 - 14.43
= -7.4310 - 14.43
= -4.4312 - 14.43
= -2.4315 - 14.43
= 0.5718 - 14.43
= 3.5719 - 14.43
= 4.5720 - 14.43
= 5.57
Now, square each of these deviations: 56.25, 19.62, 5.91, 0.33, 12.75, 20.9, 30.96 The sum of these squares of deviations is: 56.25 + 19.62 + 5.91 + 0.33 + 12.75 + 20.9 + 30.96
= 147.72
Therefore, the variance for the daily production of cell phones is: Variance = 147.72 / (7-1) = 24.62 Standard deviation ) Mean = 14.43b) Variance per Day = 24.62c) Standard Deviation = 4.96
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Unit 2, Day 12 [HOMEWORK] Tax & Tip After eating at your favorite restaurant, you know that the bill before tax is $52.60 and that the sales tax rate is 8%. You decide to leave a 20% tip for the waiter based on the pre-tax amount. How much should you leave for the waiter? How much will the total bill be, including tax and tip? Show work to support your answers. TAX TIP TOTAL
Waiter is given $10.52 and total bill including tax and tip = $67.33
What is tip?
Tip is the amount of money given by the customer himself so as to express the gratitude towards the hospitality from a particular service sector.
How much will the total bill in the restaurant?
before tax paying cost for food = $52.60
sales tax rate is 8%
so, the amount of tax = $52.60 × 8/100 = $ 4.21
If 20% tip is given by customer, then the amount of tip =$52.60 × 20/100
amount of tip = $10.52
Waiter is given $ 10.52.
total bill including tax and tip = $52.60 + $4.21 + $10.52
= $67.33
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solve for x then, find m < FDG and m <GOF.
Answer:
choice 4) x = 27, ∠FDG = 62°, ∠GOF = 118°
Step-by-step explanation:
2x + 8 + 4x + 10 = 180°
6x + 18 = 180
6x = 162
x = 27
∠FDG = 2(27) + 8 = 62°
∠GOF = 4(27) + 10 = 118°
Graph the equation
y = 4(x - 2)? - 6
Pro
Pio
9
Te
7
6
5
4
3
2
2
9.7.6.5.423.2
-3
-6
Do 4 problems
Donate
volunteer
Answer:
omg here is the answer
Step-by-step explanation:
Rihanna has a container with a volume of 1.5 liters. She estimates the volume to be 2.1 liters. What is the percent error?
The percent error of Rihanna's calculation would be 40%.
How to calculate the percent error?To find the percent error of calculation, we need to first calculate the difference between the estimated value and the actual value.
To find the percent error of Rihanna's estimate, we need to first calculate the difference between the estimated value and the actual value.
As per the question, the difference is 2.1 liters - 1.5 liters = 0.6 liters.
Now we can divide the difference by the actual value and multiply by 100% to find the percent error.
So, the percent error is :
⇒ (0.6 liters / 1.5 liters) × 100%
⇒ 40%.
Therefore, the percent error of Rihanna's estimate is 40%.
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Consider the function f(x)=|-x-3/2|-1
Answer:
x1(1 is on the bottom)= -5/2 (fraction), x2(2 on the bottom)=-1/2 (fraction)
Step-by-step explanation:
Write the expression in simplest form with positive
exponents.
r7,n³,t2
n9,r3,t2
Pls help
Therefore, r⁴ / n with positive exponents is the simplified version of the equation r⁷ × n³ × t² / n⁹ × r³ × t².
A formula is it an expression?A mathematical statement is a sentence that includes numbers, factors, or both. The equal symbol is never used in expressions. Here are a few phrases as samples. A mathematical statement stating the equality of two formulas is known as an equation.
To simplify the expressions and write them in simplest form with positive exponents, we need to use the properties of exponents, specifically:
\(\begin{aligned}& \mathrm{a}^{\mathrm{m} *} \mathrm{a}^{\mathrm{n}}=\mathrm{a}^{(\mathrm{m}+\mathrm{n})} \\& \mathrm{a}^{\mathrm{m}} / \mathrm{a}^{\mathrm{n}}=\mathrm{a}^{(\mathrm{m}-\mathrm{n})} \\& \left(\mathrm{a}^{\mathrm{m}}\right)^{\mathrm{n}}=\mathrm{a}^{\left(\mathrm{m}^* \mathrm{n}\right)}\end{aligned}\)
Using these properties, we have:
r⁷ × n³ × t² / n⁹ × r³ × t²
= r⁽⁷⁻³⁾ × n⁽³⁻⁹⁾ × t⁽²⁻²⁾ [Using property 2 and simplifying the common term in the numerator and denominator]
= r⁴ / n⁶ [Simplifying the exponents of r and n and noting that t⁰ = 1]
Therefore, the simplified form of the expression r⁷ × n³ × t² / n⁹ × r³ × t² is r⁴ / n with positive exponents.
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Please help me find the answer ASAP
Answer:C Because there the same sides
laura jones drove a golf ball from a point 152 yd north of a hole to a point 27 yd south of the hole how far did the ball travel
Answer:
it is 49 I took the test on edgenuity