12 computers are produced per day and the proportionality can be expressed by y = 12x where x represents no. of days and y represents no. of computers.
What is a co-ordinate plane ?In co-ordinate planes we can graph our equations by use of given co-ordinate points and joining them.
According to the given question on a coordinate plane, the x-axis is labelled Number of Days and the y-axis is labelled Number of Computers. A line goes through points (3, 36), (4, 48), (5, 60).
We can observe from the given graph is that in every next day 12 computers are produced. Also if we divide the total no. of computers to the total no. of days the computers produced per day will also be 12.
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I NEED HELP ITS URGENT!!! I WILL MARK BRAINLIST!! LOOK AT THE IMAGE ABOVE AND DO BOTH PROBLEMS BY SHOWING THE ENTIRE WORK!!
Do NOT answer if you DONT know. This could lead to serious consequences. Ex: “idk” could lead to the monitor marking you to loose points.
PLEASE HELP
Answer:
okay well all i can explain is the image on the far left, the answer would be x=112 and then for the one on the far right (im not sure ) i think its 17
explanation: so a straight line had 180 degress and the outside angle is 126 meaning that if you do 180-126 you can find the amount of the inside angle on the bottom right. When you do this you get 54 degress. Then remember that a triangle has a total of 180 degrees all added up so the final angle inside the triagle is 80 minus the sum of the other two angles. 58+54=112 and 180-112=68. remember that 68 is the angle on the INSIDE and x is clearly on the outside meaning that you would need to do 180-68. your final answer would be 112. (and im really sorry i couldn't answer the other ones they're too blurry :(
OK CAN SOMEONE HELP ME OR NOT IM RUNNING OUT OF POINTS PLEASE HELP ME IM FRIC.KING BEGGING YOU
Answer:
1. m = 7
2. h = 1.5
3. b = -0.7
4. x = 20
5. a = 4.8
6. n = 30
7. y = 1.4
8. a = 28
9. b = -6
Step-by-step explanation:
Message me if you want me to explain each one.
PLEASE HELP ME ASAP PLS
Answer:
5.3
Step-by-step explanation:
3x+4=28
x+4=28/3
x+4=9.3
x=9.3-4
x=5.3
at the grocery store, abdullah purchased 3 pounds of mac and cheese for $7.50 what does mac and cheese cost per pound?
Answer:
It costs $0.4 per pound of mac and cheese.
Step-by-step explanation:
3/7.50 = 0.4
Hope this helped. :)
please use only calc 2 techniques and show work thank
u
Find the equation of the line tangent to 2ey = x + y at the point (2, 0). Write the equation in slope-intercept form, y=mx+b. Do not use the equation editor to answer. Write fractions in the form a/b.
To find the equation of the line tangent to the curve 2ey = x + y at the point (2, 0), we need to find the derivative of the curve and evaluate it at the given point.
First, we differentiate the equation 2ey = x + y with respect to x using the rules of calculus. Taking the derivative of ey with respect to x gives us ey(dy/dx) = 1 + dy/dx.
Simplifying the equation, we get dy/dx = (1 - ey)/(ey - 1).
Next, we substitute x = 2 and y = 0 into the derivative equation to find the slope of the tangent line at the point (2, 0). Plugging in these values gives us dy/dx = (1 - e0)/(e0 - 1) = 0.
Since the slope of the tangent line is 0, we know that the line is horizontal. Therefore, the equation of the tangent line in slope-intercept form is y = 0x + b, where b is the y-intercept.
Since the tangent line passes through the point (2, 0), we can substitute these coordinates into the equation to solve for the y-intercept. Thus, we have 0 = 0(2) + b, which gives us b = 0.
Therefore, the equation of the tangent line is y = 0x + 0, which simplifies to y = 0.
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Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game:
90x − 20
What does the factor x of the first term of the expression represent? (2 points)
Group of answer choices
The total number of tasks Terrence completed
The total number of tasks Shelly completed
The sum of Shelly's and Terrence's total points
The difference between Shelly's and Terrence's total points
The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed
The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.
To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.
On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.
So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.
Therefore, the correct answer is: The total number of tasks Terrence completed.
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Graph the equation 4x+8y=16
Answer:
4x+8y=16
8y=4x+16
4/8. 16/8
y=1/2x+2
how do i fo this i need an answer key
The triangles formed by the diagonals of the parallelogram are congruent by ASA, segments are therefore congruent and we get;
The segments \(\overline{AE}\) = \(\overline{CE}\), and \(\overline{BE}\) = \(\overline{DE}\) by definition
What is a parallelogram?A parallelogram is a quadrilateral that have facing parallel sides.
The completed two column table to prove that the diagonals of a parallelogram bisect each other can be presented as follows;
Statements \({}\) Reasons
1. ABCD is a parallelogram \({}\) 1. Given
2. ∠ABE and ∠CDE are alt. int angles\({}\) 2. Definition
3. ∠BAE and ∠DCE are alt. int angles\({}\) 3. Definition
4. ∠BCE and ∠DAE are alt. int angles\({}\) 4. Definition
5. ∠CBE and ∠ADE are alt. int angles\({}\) 5. Definition
6. \(\overline{AD}\) ≅ \(\overline{BC}\), \(\overline{AB}\) ≅ \(\overline{CD}\) \({}\) 6. Properties of a parallelogram
7. ΔBAE ≅ ΔDCE\({}\) 7. SAS congruence postulate
8. \(\overline{BE}\) ≅ \(\overline{DE}\), \(\overline{AE}\) ≅ \(\overline{CE}\) \({}\) 8. CPCTC
9. \(\overline{AE}\) = \(\overline{CE}\) and \(\overline{BE}\) ≅ \(\overline{DE}\) \({}\) 9. Definition of congruence
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Angle a =8x+6
Angle b= 4x+38
Solve for x and find the measure of angle b
Answer:
2(2x+19) would be your answer
if v²=u²+2gs, find te value of s when v = 25 , u = 12 and g = 10
The value of s for the given value is 24.05.
Given is an equation v² = u²+2gs, we need to find the value of s if v = 25, u = 12 and g = 10,
So,
25² = 12² + 2(10)s
625 = 144 + 20s
20s = 481
s = 24.05
Hence the value of s for the given value is 24.05.
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Round 7412 to the nearest thousand.
Answer:
7000 :)
Step-by-step explanation:
The nearest thousand to 7412 is 7000.
Answer: 7000
Step-by-step explanation: When you round 7412 to the nearest thousand you should get 7000.
When simplifying the equation 4(x + 2) - x=2x-(-x-8) the result 8 = 8 is obtained. Briefly explain what this means and what the solutions to the equation are. (3 pts) 4) Your friend thinks they have found a new way to calculate trig functions and they come up with sin (185°)=-1.352. Without using a calculator, briefly explain how you know this cannot be correct.
When simplifying the equation 4(x + 2) - x = 2x - (-x - 8), we obtain 8 = 8. This equation simplifies to 8 = 8, which means that both sides of the equation are equal.
This implies that any value of x would satisfy the equation, making it true for all values of x. Therefore, the equation has infinitely many solutions, meaning that any value of x can be substituted into the equation and it will still hold true.
Regarding your friend's claim that sin(185°) = -1.352, we can determine that this is incorrect without a calculator. The sine function only returns values between -1 and 1. Since -1.352 is outside of this range, it cannot be the correct value for sin(185°). Therefore, your friend's calculation is inaccurate.
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What is the length of the unknown leg in the right triangle?
Answer:
15m
Step-by-step explanation:
a^2 + b^2 = c^2
a=?
b = 20m
c = 25m
a^2 + (20m)^2 = (25m)^2
a^2 + 400m^2 = 625m^2
a^2 = 625m^2 - 400m^2 = 225m^2
a = 15m
Answer:
The answer is 15
Step-by-step explanation:
which of the following is equivalent to (5 - x)? A: -1 (5 - x) B: -1 (x - 5) C: x - 5
Answer:
-1(x-5)
Step-by-step explanation:
(5 - x)
Factor out a -1
-1(-5 +x)
Rearranging the order
-1(x-5)
What value of a will make the equation true?
(x+a)^2=x^2+16x+64
A. a=16
B. a=8
C. a=64
D. a=4
Answer:
To solve for the value of a that will make the equation true, we can expand the left side of the equation using the square of a binomial formula:
(x + a)^2 = x^2 + 2ax + a^2
Substituting this expression back into the original equation, we get:
x^2 + 2ax + a^2 = x^2 + 16x + 64
We can then simplify this equation by canceling out the x^2 terms on both sides, which gives:
2ax + a^2 = 16x + 64
Next, we can isolate the variable a on one side of the equation by subtracting 2ax and 64 from both sides:
a^2 - 2ax = 64 - 16x
Finally, we can factor out the variable a from the left side of the equation:
a(a - 2x) = 64 - 16x
To solve for a, we can divide both sides by (a - 2x):
a = (64 - 16x)/(a - 2x)
However, we must also note that the denominator (a - 2x) cannot be zero, as this would result in a division by zero error. Thus, we must ensure that a ≠ 2x.
Therefore, the value of a that will make the equation true is:
a = (64 - 16x)/(a - 2x), where a ≠ 2x.
Step-by-step explanation:
Answer:
B. a=8
Step-by-step explanation:
First, let's look at the expression that is on the right side of the equal sign:
\(x^2+16x+64\)
This expression is equal to:
\((x+a)^2\)
So, it must mean that the expression on the right is merely the expanded form of the expression on the left.
Recall the expanded form for the square of a sum:
\((a+b)^2=a^2+b^2+2ab\)
Notice that 64 is equal to 8 squared, and 16x is equal to 2 times 8 times x.
This must mean that \(a=8\).
Thus, our answer is:
B. a=8
given f(x) = ax - b, what is f^-1(x)?
Answer:
A)
Step-by-step explanation:
f(x) = ax + b
y = ax + b
x = ay + b
ay = x - b
y = (x - b)/a
f^-1(x) = (x - b)/a
Answer: A)
x + b/a Replace f(x) with y, interchange x and y and solve for y.
The area of a rectangular field is (x² + 8x + 15) sq. m.
(i) Find the length and breadth of the field. (ii) Find the perimeter of the field.
Select all fractions that are greater that 1/2
Answer:
You need to put the fractions for us to answer but fractions that are greater than 1/2 include: 3/4 and 4/7 and basically any fraction that has a value greater than 0.5
Step-by-step explanation:
the admission fee at an amusement park is $1.25 for children and $6.80 for adults. on a certain day, 356 people entered the park, and the admission fees collected totaled $1333. how many children and how many adults were admitted?
The number of children that were admitted = 196
The number of adults that were admitted = 160
Given that,
The admission fee at an amusement park for children = $1.25
The admission fee at an amusement park for adults = $6.80
On a certain day, people entered the park = 356
The admission fees collected totaled = $1333
Let us assume,
The number of children that were admitted represented as = x
The number of adults that were admitted represented as = y
On a certain day, 356 people entered the park.
So,
We can write,
x + y = 356
x = 356 - y (Equation-1)
The admission fee at the amusement park is $1.25 for children and $6.80 for adults.
The admission fees collected on that day totaled $1333.
Then the,
1.25x + 6.8y = 1333 (Equation-2)
Substituting x = 356 - y into equation 2, it becomes
1.25x + 6.8y = 1333
1.25(356 - y) + 6.8y = 1333
445 - 1.25y + 6.8y = 1333
-1.25y + 6.8y = 1333 - 445
5.55y = 888
y = 888 / 5.55
y = 160
Then we can substitute y value in equation - 1,
x = 356 - y
x = 356 - 160
x = 196
Therefore,
The number of children that were admitted = 196
The number of adults that were admitted = 160
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What are independent variables and dependent variables when
conducting a research design to investigate the impact of a school
nutrition program on grade performance of students at high
school?
Independent variables are the factors that are manipulated or controlled by the researcher in a study. In the context of investigating the impact of a school nutrition program on grade performance of high school students, the independent variable would be the school nutrition program itself.
The researcher would design and implement the program, and this variable would be under their control.
Dependent variables, on the other hand, are the outcomes or variables that are measured in a study and are expected to change as a result of the independent variable. In this case, the dependent variable would be the grade performance of the students. The researcher would collect data on the grades of the students before and after the implementation of the nutrition program, and this would be the variable that is expected to be influenced by the independent variable.
In summary, the independent variable in this research design is the school nutrition program, while the dependent variable is the grade performance of the students. The researcher would manipulate the independent variable (implement the nutrition program) and then measure the dependent variable (student grades) to determine if there is an impact of the program on grade performance.
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circles $a$, $b$, and $c$ are externally tangent to each other and internally tangent to circle $d$. circles $b$ and $c$ are congruent. circle $a$ has radius 1 and passes through the center of $d$. what is the radius of circle $b$? (a) $\frac{2}{3}$ (b) $\frac{\sqrt{3}}{2}$ (c) $\frac{7}{8}$ (d) $\frac{8}{9}$ (e) $\frac{1 \sqrt{3}}{3}$
The length of the common external tangent is equal to the sum of the radii of circles b and c. Since circle a has a radius of 1, the sum of the radii of circles b and c is equal to the radius of circle d. Therefore, the radius of circle b is \(\frac{2}{3}\)
To find the radius of circle b, let's examine the given information.
We know that circle a has a radius of 1 and passes through the center of circle d.
Since circle b and c are congruent, they have the same radius.
Since circles a, b, and c are externally tangent to each other, their radii form a line that is tangent to circle d.
This line is called a common external tangent.
From the diagram, we can see that the common external tangent is perpendicular to the radius of circle d.
Therefore, the length of the common external tangent is equal to the sum of the radii of circles b and c.
Since circle a has a radius of 1, the sum of the radii of circles b and c is equal to the radius of circle d.
Therefore, the radius of circle b is \(\frac{2}{3}\)
By solving the problem, we have found that the radius of circle b is \(\frac{2}{3}\), which matches answer choice (a).
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if the area of the shaded region shown below is 120 square units, and the height of the line segment above the horizontal axis is 4 units, what is point a?
Point A is located at (4, 4) in the coordinate plane.With these dimensions, we can determine that Point A is located at (4, 4) in the coordinate plane.
To find the coordinates of point A, we need to consider the properties of the shaded region. The shaded region consists of a rectangle and a triangle. We know that the area of the shaded region is 120 square units, and the height of the line segment above the horizontal axis is 4 units.
The rectangle's area is given by its length multiplied by its width. Since the height of the rectangle is 4 units, we can deduce that the length of the rectangle is also 4 units. Therefore, the width of the rectangle can be found by dividing the total area of the shaded region by the length of the rectangle.
Subtracting the width of the rectangle from the total width of the shaded region will give us the base of the triangle. Since the triangle is isosceles, the base length is equal to the height of the rectangle.
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Kim read 3 books in 2 hours. She took the same amount of time to read the
first 2 books. She took 15 minutes longer to read the third book than the first
How many minutes did she take to read the third book?
Answer: Kim took 50 minutes to read the third book.
Step-by-step explanation: If you substract 120 - 15 = 105. Then divide 105 / 3 = 35. And finally add 35 + 15 = 50.
Write an equation of the line and interpret the slope:
Answer:
Equation = y=3x+12
Slope is 3
Step-by-step explanation:
Mom drove 180 miles from home to the hotel in 3 hours how many miles did she drive per hour
Answer:
\(\huge\boxed{\sf 60 \ miles}\)
Step-by-step explanation:
Given that,
3 hours = 180 miles
Divide 3 to both sides
3/3 hour = 180/3 miles
1 hour = 60 miles
So, Mom drove 60 miles in one hour.
\(\rule[225]{225}{2}\)
what is the equation in slope intercept form of the line that passes through the points (-4, 2) and (12, 6)
Answer:
y = 0.25x + 3
Step-by-step explanation:
Fellow student, hope this helps.
Answer:
y=0.25x+3
Step-by-step explanation:
I got it right thanks to the person's answer above me
factor: 11x²+22x-88
thank you to whoeverr answers this
Answer:11(x−2)(x+4)
Step-by-step explanation:
11x2+22x−88
=11(x−2)(x+4)
Which symbol creates a true sentence when x = 6?
12 ÷ x + 2x ____ 12 ÷ (x + 2x)
Responses
=
>
A symbol that creates a true sentence for x = 6 is '>' i.e.,
12 ÷ x + 2x > 1 2 ÷ (x + 2x)
In this question, we have been given a statement 12 ÷ x + 2x ____ 12 ÷ (x + 2x)
We need to select a correct symbol that would create a true sentence when x = 6.
Consider an expression 12 ÷ x + 2x for x = 6.
= 12 ÷ 6 + 2(6)
= 2 + 12
= 14 ...................(1)
Consider an expression 12 ÷ (x + 2x) for x = 6
= 12 ÷ (6 + 2(6))
= 12 ÷ (6 + 12)
= 12 ÷ 18
= 0.67 ...................(2)
From (1) and (2),
14 > 0.67
Therefore, a symbol that creates a true sentence for x = 6 is '>'
i.e., 12 ÷ x + 2x > 1 2 ÷ (x + 2x)
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a sample proportion of 0.18 is found. to determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.18. the minimum sample proportion from the simulation is 0.28, and the maximum sample proportion from the simulation is 0.40. what is the margin of error of the population proportion using an estimate of the standard deviation?
The margin of error of the given population proportion by applying an estimate of the standard deviation based on the simulation is equal to 0.06.
Sample proportion = 0.18
Number of trials = 100
Sample size = 50
To determine the margin of error for the population proportion using an estimate of the standard deviation,
we can use the range of the sample proportions from the simulation.
The margin of error is calculated as half of the range.
In this case, the minimum sample proportion is 0.28 and the maximum sample proportion is 0.40.
Range = Maximum sample proportion - Minimum sample proportion
Range = 0.40 - 0.28
= 0.12
The margin of error is half of the range,
Margin of Error = Range / 2
Margin of Error = 0.12 / 2
= 0.06
Therefore, the margin of error of the population proportion, using an estimate of the standard deviation based on the simulation, is 0.06.
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Austin made $198 for 11 hours of work.
At the same rate, how many hours would he have to work to make $144?
Answer:
8 hours
Step-by-step explanation:
divide 198 by 11 to get 18, then divide 144 by 18 to get 8.
Answer:
I would take 8 hours because if you divide 198 by 11 you get the rate and multiply the rate by 8 to get 144