Answer:
x1=6 and x2= -6
Step-by-step explanation:
x=6
x= -6
Rewrite the absolute value equation as two separate equations.
The circumference of a circle varies directly as the diameter of a circle. When the diameter of a circle is 5, the circumference of the circle is approximately 15.7.
What is the approximate circumference of a circle with a diameter of 9? Round answer to nearest tenth.
Step-by-step explanation:
diameter=9
radius 4.5
circumference=2πr
2×22/7×4.5 =28.2
What is the average rate of change for the number of shares from 2 minutes to 4 minutes?
The average rate of change for the number of shares from 2 minutes to 4 minutes is 25 shares per minute.
To find the average rate of change for the number of shares from 2 minutes to 4 minutes, we need to know the initial number of shares at 2 minutes and the final number of shares at 4 minutes. Once we have those values, we can use the formula:
average rate of change = (final value - initial value) / (time elapsed)
Let's say the initial number of shares at 2 minutes was 100 and the final number of shares at 4 minutes was 150. The time elapsed between 2 minutes and 4 minutes is 2 minutes. Plugging these values into the formula, we get:
average rate of change = (150 - 100) / 2
average rate of change = 50 / 2
average rate of change = 25
Therefore, the average rate of change is 25 shares per minute.
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A small newspaper company is downsizing and has lost employers at a steady rate. twelve months ago they had 65 employees, and now they have 29.
Answer:
each month 3 employees were laid off.
Step-by-step explanation:
the company started with 65 employees 12 months ago, and now there are 29. 65 - 29 = 36. In 12 months, 36 employees were laid off. 36 employees divided by 12 months = 3 employees per month.
what is the range of the possible values of r2? 0 to 1 any positive numerical value -1 to 1 0 to 100
The range of the possible values of r^2 is 0 to 1. It represents the proportion of the dependent variable’s variance that can be explained by the independent variable(s).
The coefficient of determination, often denoted as r^2, measures the proportion of the dependent variable’s variance that can be explained by the independent variable(s) in a statistical model. The value of r^2 ranges from 0 to 1.
A value of 0 for r^2 indicates that the independent variable(s) does not explain any of the variance in the dependent variable. On the other hand, a value of 1 implies that the independent variable(s) fully explain the observed variance in the dependent variable.
Therefore, the range of the possible values of r^2 is 0 to 1. Any positive numerical value within this range indicates a degree of explanatory power, while values outside this range are not meaningful in the context of r^2. It serves as a useful tool for assessing the strength of a statistical relationship and the predictive ability of a model.
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Write the equation of the line when the slope is 3 and the line goes through the point (3,2).
Answer:
y = 3x -7
Step-by-step explanation:
Since we already know that the slope is 3 and it goes through the point (3,2).
We can use - Slope intercept form: y = mx + b to find the y-intercept first.
Using the given info:
m = 3
x = 3
y = 2
Thus,
2 = 3(3) + b
2 = 9 + b
2- 9 = 9- 9 + b
-7 = b
Hence, the y-intercept is -7.
As a result,
y = mx + b >> plug it in
y = 3x -7
RevyBreeze
Which values are solutions to the inequality?
3r≤4r−6
Select each correct answer.
Responses
r = 4
r = , 4
r = 5
r, = 5
r = 6
r, = 6
r = 7
The solution of the inequality 3r ≤ 4r - 6 is r ≥ 6.
How to solve inequality?In Mathematics, the relationship between two values that are not equal is defined by inequalities.
An inequality have the symbol <, >, ≤ and ≥. Hence, the inequality can be solved as follows:
3r ≤ 4r - 6
subtract 4r from both sides of the inequality,
3r ≤ 4r - 6
3r - 4r ≤ 4r - 4r - 6
3r - 4r ≤ - 6
- r ≤ -6
divide both sides of the inequality by -1
Therefore, the solution is r ≥ 6
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a rectangular parking lot is 67.5 ft wide and 148 ft long. what is the area of the parking lot in square meters?
The area of the rectangular parking lot is 929.03 square meters.
Use the formula for the area of a rectangle to calculate the area of the rectangular parking lot, which is given as:
Area = length × width
We know that the parking lot is 67.5 ft wide and 148 ft long, the area can be calculated as follows:
Area = 67.5 ft × 148 f
t= 9990 sq. ft
However, the question asks for the area in square meters, so we need to convert square feet to square meters. 1 square foot is equal to 0.092903 square meters, so we can use this conversion factor to convert square feet to square meters.
Area in square meters = Area in square feet × 0.092903
= 9990 sq. ft × 0.092903
= 929.03 sq meters
Therefore, the area is 929.03 square meters.
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Q3: Write the equation in slope-intercept form of the line that is parallel to the
graph of each equation and passes through the given point.
1. y = 3x + 6; (4, 7)
3. y = 1/2 x + 5; (4,-5)
The equations of the lines are y = 3x - 5 and y = (1/2)x - 7
What is an equation?An equation is an expression that shows how numbers and variables are related to each other.
A linear function is in the form:
y = mx + b
Where m is the rate of change and b is the initial value
Two lines are parallel if they have the same slope
1) y = 3x + 6; (4, 7)
The parallel line would have a slope of 3 and pass through (4, 7), hence:
y - 7 = 3(x - 4)
y = 3x - 5
2) y = (1/2)x + 5; (4, -5)
The parallel line would have a slope of 1/2 and pass through (4, -5), hence:
y - (-5) = (1/2)(x - 4)
y = (1/2)x - 7
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The perimeter of a square is represented by the expression 4(4x−6). Which statement is true?
Responses
A. The perimeter can also be represented by the expression 8x−2 because 4(4x−6) can be simplified to 8x−2.The perimeter can also be represented by the expression 8 x minus 2 because 4 times open paren 4 x minus 6 close paren can be simplified to 8 x minus 2 point
B. The perimeter can also be represented by the expression 8x−6 because 4(4x−6) can be simplified to 8x−6.The perimeter can also be represented by the expression 8 x minus 6 because 4 times open paren 4 x minus 6 close paren can be simplified to 8 x minus 6 point
C. The perimeter can also be represented by the expression 16x−6 because 4(4x−6) can be simplified to 16x−6.The perimeter can also be represented by the expression 16 x minus 6 because 4 times open paren 4 x minus 6 close paren can be simplified to 16 x minus 6 point
D. The perimeter can also be represented by the expression 16x−24 because 4(4x−6) can be simplified to 16x−24.
Answer:
A. The perimeter can also be represented by the expression 8x−2 because 4(4x−6) can be simplified to 8x−2.
18/99 simplified 20 point givedif helped
18/99 simplified is 2/11 by dividing the numerator and denominator by 9.
What is simplification?A mathematical expression can be simplified by replacing it with an equivalent one that is easier (typically shorter), for example. In computer algebra, formulas of algebra are simplified. Boolean equation simplification is also known as logic optimization.
To simplify 18/99
We need to simplify the denominator and numerator by the greatest common factor.
In 18 and 99, 9 is the greatest common factor so, we can divide the numerator and denominator by 9 .
\(\frac{18}{99} = \frac{18/9}{99/9} \\\frac{18}{99} = \frac{2}{11}\)
Therefore 18/99 simplified is 2/11
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NEED HELP 11 POINTS 11 POINTS NEED HELPPPP
Answer:
yeah
Step-by-step explanation:
Answer:
\( \: \: a) \: \: (49\pi - 98)ft {}^{2} \)
− 4 /5 + 40/75 +100%
Answer:
0.266666666
Step-by-step explanation:
Henrietta has a box of fruit with a mass of 88 dekagrams. What is the weight of the box of fruit in kilograms?
Answer:
.88
Step-by-step explanation:
one dekagram = .1 kilograms
factor out the coefficient of the variable term 4x-20
the given expression is,
4x - 20 = 0
here 4 is the coefficient of variable x
4x = 20
x = 20/4
x = 5
thus, the value of x is 5
The estimate on an explanatory variable is not statistically significant at the 5%-level if the t-statistic is greater than 2.5. the p-value is less than 0.05. the 95% confidence interval does not contain zero. the 95% confidence interval contains zero.
The estimated value of the explanatory variable is not statistically significant at the 5%-level if a. the t-statistic is greater than 2.5.
The t-test is a hypothesis testing technique used to decide whether the estimated coefficient of a linear regression model is statistically significant or not. The t-value is used to measure the size of the difference between the estimated coefficient and the hypothesized value. When the t-value exceeds a critical value, such as 2.5, the estimated value of the explanatory variable is not significant at the 5%-level. It implies that the null hypothesis, which assumes that the explanatory variable's coefficient is zero, cannot be rejected.
The p-value is a measure of the probability of obtaining a more extreme value of the test statistic than the observed value if the null hypothesis is true. A small p-value implies that the null hypothesis should be rejected. When the p-value is less than 0.05, it means that the estimated value of the explanatory variable is significant at the 5%-level.
The confidence interval is a range of values that is expected to include the true value of the population parameter with a specified level of confidence. A 95% confidence interval means that the true value of the population parameter lies within the range 95% of the time. The 95% confidence interval does not contain zero implies that the estimated value of the explanatory variable is statistically significant at the 5%-level since it suggests that the population parameter is different from zero at the 5%-level. Conversely, if the 95% confidence interval contains zero, the estimated value of the explanatory variable is not statistically significant at the 5%-level since it means that the population parameter is not different from zero at the 5%-level. Therefore, it is essential to examine the t-statistic, p-value, and confidence interval while conducting hypothesis testing to make an informed decision.
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Which of the following would you see with a graph that is proportional?
a. A line that passes through the origin
b. A straight line
c. A line that has 5 or more points graphed on it
d. Both a and b
Answer:
i think the answer is A but it might be D
does (100−5)÷7 and 100−(5÷7) have an equivalent answer
Answer:
No
Step-by-step explanation:
(100-5) divided by 7 is about 12 and 100 - (5 divided by 7) is 99 and 2/7
Help and show work please<3
The value of the variable 'x' is 48 degrees. Then the correct option is B.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
In the figure, the side NP is parallel to the side MQ. Then the quadrilateral will be a parallelogram.
We know that the sum of the adjacent angles of the parallelogram will be 180 degrees.
x + 32 + 100 = 180
x = 180 - 132
x = 48
The value of the variable 'x' is 48 degrees. Then the correct option is B.
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Mrs. Johnson lets her students choose between two word problems:
Problem A: If you are digging for dinosaurs and need to fence off your dig site, what's the biggest site you can fence off with 40 ft. of fence?
Problem B: What is the largest area you can create with 20 inches of rope?
Mrs. Johnson finds a significant majority of her students chose to work Problem A. Which of the following is the most likely reason more students chose Problem A instead of Problem B?
The reason to choose problem B over A is simple - it is more relatable to them.
Problem A involves dinosaurs, which may be more interesting to students than the abstract concept of creating an area with rope. Additionally, the use of feet as a unit of measurement in Problem A may be more familiar to students than inches.
Finding a number that represents the quantity of anything is called measurement. An accepted quantity that is used to represent a physical quantity is called a measurement unit. Let's learn about some of the standard units used to measure physical quantities.
The inch, foot, yard, and mile are the fundamental units of length and distance measurement in the English system. The rod, furlong, and chain are additional length units.
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A car travels about 34 feet in one second. At this speed,
about how many feet will the car travel in 7 sebonds?
A
438 feet
B
2,800 feet
C. 238 feet
D. 2,140 feet
Answer:
C
Step-by-step explanation:
34 * 7= 238
34 feet per second, means that we have to mulitply 7 by 34.
Its really simple!
1 second: 34
7 seconds: ?
for example, if we needed 2 seconds we would muliplty by 2, 34 * 2 because we double it, the same way we would solve that, we would solve 34*7
\(Hey\) \(there!\)
\(The\) \(answer\) \(is\) \(238\)
\(We\) \(simply\) \(multiply\) \(34\) \(by\) \(7\):
\(34 * 7 = 238\)
\(Hope\) \(it\) \(helps!\) \(Have\) \(an\) \(amazing\) \(day!!!!!!\)
(-8, 4), (4, -4)
Write in standard form
Answer written in standard form:
2x + 3y = -4
9514 1404 393
Answer:
2x +3y = -4
Step-by-step explanation:
The slope of the line is given by the slope formula:
m = (y2 -y1)/(x2 -x1
m = (-4 -4)/(4 -(-8)) = -8/12 = -2/3
This can be used in the point-slope formula to find an equation of the line:
y -y1 = m(x -x1)
y -4 = -2/3(x -(-8)) . . . . substituting for (x1, y1) and m
Multiplying by 3 eliminated fractions:
3(y -4) = -2(x +8)
3y -12 = -2x -16
Adding 2x+12 to both sides gives the standard form equation:
2x +3y = -4
The length of a rectangle is 6.8cm and the width is 3.4cm. What is the perimeter of the rectangle and the area of the rectangle?
Year 9 Non-realationship question
Could you help me to do just question 12b please?
The equation of the parabola shown in the 12b is y = x² - 4 if the vertex of the parabola is (0, -4).
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
(x - h)² = 4a(y - k)
(h, k) is the vertex of the parabola:
a = √[(c-h)² + (d-k²]
(c, d) is the focus of the parabola:
It is given that:
The graph of a parabola is shown in the 12b question:
As we know, the standard form of the parabola is:
y = a(x - h)² + k
(h, k) is the vertex of the parabola:
From the graph: h = 0, k = -4
y = ax² - 4
Plug (2, 0) in the above equation:
0 = 4a - 4
a = 1
y = x² - 4
Thus, the equation of the parabola shown in the 12b is y = x² - 4 if the vertex of the parabola is (0, -4).
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A drug is eliminated from the body through urine. Suppose that for a dose of 10 milligrams, the amount (A)t remaining in the body t hours later is given by (A)t 10(0.8)^t and that in order for the drug to be effective, at least 2 milligrams must be in the body.
a. Determine when 2 milligrams is left in the body.
b. What is the half-life of the drug?
.
In summary, it takes approximately 4.92 hours for 2 milligrams to be left in the body and the half-life of the drug is approximately 2.29 hours.
To determine when 2 milligrams is left in the body, we can substitute A = 2 into the equation given: 2 = 10(0.8)^t. Then, we can solve for t by dividing both sides by 10 and taking the natural logarithm of both sides to isolate t: t = ln(2/10) / ln(0.8). Using a calculator, we find that t is approximately 4.92 hours.
To find the half-life of the drug, we need to determine the time it takes for half of the initial dose (10 milligrams) to be eliminated from the body. This occurs when A = 5 milligrams. We can use the same equation and substitute A = 5: 5 = 10(0.8)^t. Then, we can solve for t using the same method as before: t = ln(0.5) / ln(0.8). Using a calculator, we find that t is approximately 2.29 hours.
In summary, it takes approximately 4.92 hours for 2 milligrams to be left in the body and the half-life of the drug is approximately 2.29 hours.
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There are 5 positions available in the new school. Of the applicant, 12 are men and 8 are women. In how many ways can 3 men and 2 women be chosen if they are equally considered?
There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting
What is the multiplication principle of countingThe multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.
To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).
where n is the total number of men and r is the number of men chosen
so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.
Similarly, we evaluate the number of ways to choose 2 women from the 8 women
as = ⁸C₂ = 14
Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.
220 x 14 = 3080
Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting
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As the project progresses, the actual finish times (AFs) of completed activities will determine
the earliest start and earliest finish times for the remaining activities in the network diagram, as well as the total slack.
As the project progresses, the actual finish times (AFs) of completed activities play a crucial role in determining various aspects of the project schedule.
The AFs are used to calculate the earliest start and earliest finish times for the remaining activities in the network diagram. These calculations are based on the dependencies between activities and the actual durations of completed activities.
By considering the AFs, the project team can determine the earliest possible start and finish times for the remaining activities, taking into account the sequence of activities and any imposed constraints. This information helps in managing the project schedule and identifying any potential delays or critical paths.
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What is the best buy?
6 shirts for $252.42
4 shirts for $116.00
5 shirts for $90
PLS PLS HELP
a trapezoidal prism has a volume of 1260 cm^3. the height of the prism is 18 cm while the bases of the trapezoid are 12 cm and 8cm. Sketch the prism and find the height of the trapezoidal base
Answer:
7 cmStep-by-step explanation:
Volume of the prism is the product of its base area and height
V = AHV = 1260 cm³H = 18 cmFind base area:
A = 1260/18 = 70 cm²Area of the trapezoid:
A = 1/2(b₁ + b₂)hSubstitute given values and solve for h:
70 = 1/2(12 + 8)h70 = 10hh = 70/10h = 7 cmFind area of base
Volume/Height1260/1870cm²Now
Height of trapezoid base be x
1/2(12+8)x=7020x=140x=7cmWhich of the following is NOT a solution to this system of inequalities?
with examples
Nonsense = report
Answer: Choice D. (0,-2)
Note how this point is in the blue region, but it is not in the red region. The solution must satisfy all of the shaded regions of the system of inequalities. The red and blue regions overlap to form the darker shaded region on the right side (the somewhat grayish purple triangular region). Points in this darkest shaded region are solutions to the system. The points (5,2), (0,3) and (4,0) are all located in this region so they are solutions.
3/5 +9/10= Please answer
Answer:
3/2 or 1.5
Step-by-step explanation:
Multiply 3/5 by 2 to make the denominator of both fractions equal.
2 x 3/5 = 6/10
Now that the denominators are equal, add the two fractions together
6/10 + 9/10 = 15/10 = 3/2 or 1.5
Answer:
1 1/2
Step-by-step explanation:
3/5 + 9/10
We need a common denominator of 10
3/5 * 2/2 + 9/10
6/10 + 9/10
15/10
10/10 + 5/10
1 + 5/10
1 + 1/2
1 1/2