answer:
3x^3=4x
step-by-step explanation:
hope that helps!
What is the equation of the line that passes through (0,5) and (3,8)?
A. y= 1x + 5
B. y=-1x - 5
C. y=-1x + 5
D. y = 1x - 5
Answer:
A. y= 1x + 5
Step-by-step explanation:
Answer:
A. y=x+5
Step-by-step explanation:
(0,5):
x=0
y=(0)+5=5
(3,8):
x=3
y=(3)+5=8
I hope this help you
how many integers between 100 and 999, inclusive, have the property that some permutation of its digits is a multiple of 11 between 100 and 999? for example, both 121 and 211 have this property. (2017amc10a problem 25) (a) 226 (b) 243 (c) 270 (d) 469 (e)
226 integers are present between 100 and 999, inclusive, and have the property that some permutation of its digits is a multiple of 11 between 100 and 999. Hence, option A is the correct option.
The problem statement is to find the number of multiples of 11 between 100 and 999 inclusive, where some multiples may have digits repeated twice and some may not.
To solve this problem, we can first count the number of multiples of 11 between 100 and 999 inclusive, which is 81. Some of these multiples may have digits repeated twice, and each of these can be arranged in 3 permutations. Other multiples of 11 have no repeated digits, and each of these can be arranged in 6 permutations. However, we must account for the fact that switching the hundreds and units digits of these multiples also yields a multiple of 11, so we must divide by 2, giving us 3 permutations for each of these multiples.
Thus, we have a total of 81 × 3 = 243 permutations. However, we have overcounted because some multiples of 11 have 0 as a digit. Since 0 cannot be the digit of the hundreds place, we must subtract a permutation for each of these multiples. There are 9 such multiples (110, 220, 330, ..., 990), yielding 9 extra permutations. Additionally, there are 8 multiples (209, 308, 407, ..., 902) that also have 0 as a digit, yielding 8 more permutations.
Therefore, we must subtract these 17 extra permutations from the total of 243, giving us 226 permutations in total. Hence, option A is the correct option.
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I need some assistance
The ordered pair that represents points on the graph of the function 2·x = -(2/3)·y which is a proportional relationship are; (2, -6), (-1, 3), (0, 0), (-2, 6)
What is a proportional relationship?A proportional relationship is a function that consists of ordered pairs (x, y), such that the ratio y/x is the same within the range and domain of the function.
The specified equation is presented as follows;
\(2\cdot = -\dfrac{2}{3} \cdot y\)
Making y the subject indicates;
\(y = -\dfrac{3}{2} \times (2\cdot x) = -3\cdot x\)
y =- -3·x
y/x = -3
The above equation indicates that the relationship is a proportional relationship
Therefore, the equation, y = -3·x indicates that the y-intercept is at the point (0, 0)
The coordinates of a point on the graph is therefore; thew point (0, 0)
The other ordered pair that corresponds with the equation, y/x = -3, includes;
The point (2, -6) from which we get; -6/2 = -3
At the point (-2, 6) , we get, 6/(-2) = -3
At the point (-1, 3), we get; 3/(-1) = -3
The points (2, -6), (-1, 3), and (-2, 6) are also points on the graph of the equation \(2\cdot = -\dfrac{2}{3} \cdot y\)
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The equation, w/2 + 21 = 15 is solved in several steps below.For each step, choose the reason that best justifies it.
We are given the following equation and we must state the reason behind each of the steps taken to solve it:
\(\frac{w}{2}+21=15\)In the first step after giving the equation 21 is being substracted from both sides of the equation. Remember that the substraction property of the equality states that any value substracted from one side of the equal sign must also be substracted from the other side. Therefore the reason behind this step is the substraction property.
Then the substractions on each side are performed. In the left side we get 21-21=0 so the constant term dissapears and on the right we obtain 21-15=6. This means that during this step only a simplification was performed.
In the following step a number 2 is multiplied to each side of the equal sign. Remember that the multiplication property of equality states that whatever is multiplied in one side of the equal sign must also be multiplied in the other side. Then the reason behind this step is the multiplication property of equality.
In the final step in the left side the 2 multiplying is simplified with the number 2 dividing and in the right side the product between -6 and 2 is performed. Then this step is also a simplification.
AnswersThen the reasons in order are:
- Substraction Property of Equality
- Simplifying
- Multiplication Property of Equality
- Simplifying
Triangle L N P has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N R, L P, and Q M. The length of line segment N S is 7 x minus 3 and the length of line segment S R is 5 x minus 3. What is the length of segment NS? 1 unit 2 units 4 units 6 units
Answer:
6 units
Step-by-step explanation:
Given: Triangle L N P has centroid S.
\(NS=7x-3, SR=5x-3\)
To find: NS
Solution:
Centroid is the point of intersection of the medians of the triangle such that it divides each of the median in ratio \(2:1\)
So,
\(NS:SR=2:1\\\frac{NS}{SR}=\frac{2}{1} \\\)
Put \(NS=7x-3, SR=5x-3\)
\(\frac{7x-3}{5x-3}=\frac{2}{1}\\ 7x-3=10x-6\\10x-7x=-3+6\\3x=3\\x=1\)
Therefore,
\(NS=7x-3=7(1)-3=4\,\,units\\SR=5x-3=5(1)-3=2\,units\)
So,
\(NS=NS+SR=4+2=6\,\,units\)
Answer:
The answer is 4
Step-by-step explanation:
It asks for the length of NS not the length of NR
Find the surface area of a cylinder with a height of 8 m and a base radius of 4 m.Use the value 3.14 for π, and do not do any rounding.Be sure to include the correct unit.
Explanation
We are given the following:
\(\begin{gathered} height=8m \\ radius=4m \\ \pi=3.14 \end{gathered}\)We are required to determine the surface area of a cylinder. This can be achieved by using the formula:
\(\begin{gathered} Area=2\pi r(r+h) \\ Area=2\times3.14\times4(4+8) \\ Area=2\times3.14\times4\times12 \\ Area=301.44m^2 \end{gathered}\)Hence, the answer is 301.44m².
F 12% of my students failed and I have 60 students how many students did not pass
What is the area of this trapezoid?
PLEASEEEEE CAN SOMEONE HELP ME WITH THIS ANSWER IM STUCK ON IT I WILL GIVE BRAINLIEST.
Answer:
20
Step-by-step explanation:
A=a+b
2h=6+2
2·5=20
Answer:
16.4
Step-by-step explanation:
Separate it into a triangle and a rectangle.
The rectangle will be 2, 5 and the triangle will be 4, 5, and x with a right angle.
The area of the rectangle section is 10, and the area of the triangle is 6.4.
6.4 + 10 = 16.4.
3.
Jamal spent
hours studying for his science test. Rudy studied for
the amount of time that Jamal studied. What fraction of an hour did Rudy spend studying? Choose the model that matches the situation
Ruby studied her science test for 1/2 of an hour
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Jamal spent 1 1/2 (1.5) hours studying for his science test ruby studied for 1/3 the amount of time that Jamal studied.
Amount of time ruby studied = (1/3) * (1.5) = 1/2 of an hour
Ruby studied for 1/2 of an hour
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Answer:
so that is how it goes
Step-by-step explanation:
a slice of pizza is 1/8 of a circle of radius 1 foot. the slice is in the first quadrant, whith one edge along the x axis, and the center of the pizza at the origin. give inequalities describing this region using rectangular coordinates
To describe the region of a slice of pizza in the first quadrant using rectangular coordinates, we need to determine the equations that define the boundaries of the region.
Since the pizza is a circle with a radius of 1 foot and the slice is 1/8 of the circle, the angle of the slice is 45 degrees. We can use this information to determine the coordinates of the two points that define the slice: (1, 0) and (cos(45), sin(45)) = (√2/2, √2/2). Thus, the region can be described by the following set of inequalities:
0 ≤ x ≤ √2/2
0 ≤ y ≤ x
These inequalities define the region in the first quadrant that corresponds to a slice of pizza with 1/8 of a circle of radius 1 foot.
In summary, to describe the region of a slice of pizza in the first quadrant using rectangular coordinates, we determined the equations that define the boundaries of the region. Since the pizza is a circle with a radius of 1 foot and the slice is 1/8 of the circle, we used the angle of the slice to determine the coordinates of the two points that define the slice.
Then, we used these coordinates to write the set of inequalities that describe the region. These inequalities are 0 ≤ x ≤ √2/2 and 0 ≤ y ≤ x, which represent the range of values for x and y that satisfy the conditions for a slice of pizza.
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Calculate the range, variance, and standard deviation for the following samples a. 43, 41, 48, 47, 49 b. 100, 1, 3, 95, 70, 4, 6, 10, 5 c. 100, 1, 3, 30, 70, 30, 43, 5 a. The range is 8 Type an integer or a decimal. Do not round.) The variance is 11.80 (Round to two decimal places as needed.) The standard deviation is 3.4 (Round to one decimal place as needed.) b. The range is 99 (Type an integer or a decimal. Do not round.) The variance is 1813.50 (Round to two decimal places as needed.) The standard deviation is 42.6 (Round to one decimal place as needed.) c. The range is 99 (Type an integer or a decimal. Do not round.) The variance is 1234.79 (Round to two decimal places as needed.) he standard deviation is (Round to one decimal place as needed.)
The range, variance, and standard deviation are 8, 21.10, 445.21.
The range, variance, and standard deviation are 99, 40.14,1612
What is data?
Data is a collection of measurements or observations used as a source of information. There are numerous types of data and numerous ways to represent data.
Given data is
43, 41, 48, 47, 49
Arrange them in ascending order:
41, 43, 47, 48,49
The range is (49 - 41) =8
The mean is (41+43+47+48+49)/5 =45.6
Data deviation from mean square deviation
41 4.6 21.16
43 2.6 6.76
47 -1.4 1.96
48 -2.4 5.76
49 -3.4 11.56
Total 47.2
The standard deviation is s = √[(x-μ)²/N] = 21.10
The variance is s² = 445.21
Given data is
100, 1, 3, 95, 70, 4, 6, 10, 5
Arrange them in ascending order:
1, 3, 4, 5, 6, 10, 70, 95, 100
The range is (100 - 1) = 99
The mean is (1+3+4+6+5+10+70+95+100)/9 =32.67
Data deviation from mean square deviation
1 31.67 1002.99
3 29.67 880.31
4 28.67 821.97
5 27.67 756.63
6 26.67 711.29
10 22.67 513.93
70 -37.33 1393.52
95 -62.33 3885.03
100 -3.33 4533.33
Total 14508.0001
The standard deviation is s = √[(x-μ)²/N] = 40.14
The variance is s² = 1612
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Hello guys I need help with this if you don’t mind.
Answer:
2? – (-6)x +(-27), x² + 6x – 27 = 0
Step-by-step explanation:
i used a calculator
Mary needs to order pizza for 18 students. Each student should get ¼ of a pizza. How many pizzas should Mary order? How much pizza will be left over?
Answer:
5 pizzas; 1/2 of a slice
Step-by-step explanation:
18/4=
4.5; the .5 is the leftover as the pizza so Mary needs 5 pizzas to be ordered.
Answer this and I will give you 20 points
a wellness director at a company in new york city wants to investigate whether it is unusual for one person working in the city who wears an activity tracker to record approximately 8,500 steps on a typical workday. is it appropriate to use the confidence interval found in part (a) to conduct the investigation? explain your answer.
a) The (9,009, 10,585) range represents the 99% confidence interval for the mean number of steps taken on an average workday for all New York City employees who wear activity trackers. No, we are unable to determine the likelihood of specific values using the confidence interval. Only inferences about the population mean can be drawn from it.
A 99% confidence interval for the mean needs to be calculated.
Since the population standard deviation is unknown, we must infer it from the sample standard deviation in order to get the critical number using a t-students distribution.
Sample Mean(M) = 9,797
Sample Standard Deviation(s) = 2,313.
Sample Size(N) = 61
When σ is unknown, an estimation of σM is made by dividing s by the square root of N:
S = s/√n
S = 2313/√61
S = 2313/7.8102
S = 296.1512
These sample size's degrees of freedom are:
df = n - 1
df = 61 - 1
df = 60
With 61 degrees of freedom and a 99% confidence interval, the t-value is 2.66.
The Margin of Error calculated as:
MOE = t × S
MOE = 2.66 × 296.1512
MOE = 787.7622
The confidence interval's lower and upper bounds are as follows:
Lower Bound = M - MOE
Lower Bound = 9797 - 787.7622
Lower Bound = 9,009.2378
Lower Bound = 9,009(approx)
Upper Bound = M + MOE
Upper Bound = 9797 + 787.7622
Upper Bound = 10,584.7622
Upper Bound = 10,585(approx)
We have a 95% confidence interval between 9,009 and 10,585 steps as the mean number of steps taken on a normal workday for all New York City employees using activity trackers.
b) The value of 8,500 steps is outside the confidence interval, which indicates that it is a high figure for the average number of steps taken by all New Yorkers using activity trackers.
The confidence interval cannot be used to calculate the likelihood of specific values.
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The complete question is:
Activity trackers are electronic devices that people wear to record physical activity. Researchers wanted to estimate the mean number of steps taken on a typical workday for people working in New York City who wear such trackers. A random sample of 61 people working in New York City who wear an activity tracker was selected. The number of steps taken on a typical workday for each person in the sample was recorded. The mean was 9,797 steps and the standard deviation was 2,313 steps.
a. Construct and interpret a 99 percent confidence interval for the mean number of steps taken on a typical workday for all people working in New York City who wear an activity tracker.
b. A wellness director at a company in New York City wants to investigate whether it is unusual for one person working in the city who wears an activity tracker to record approximately 8,500 steps on a typical workday. Is it appropriate to use the confidence interval found in part (a) to conduct the investigation.
riangle GHJ is rotated 90° about point X, resulting in triangle STR. Which congruency statement is true?a. TR ≅ GJb. ∠S ≅ ∠H c. TS ≅ HG d. ∠R ≅ ∠g
The congruency statement TS ≅ HG is true. So the required statement is option c.
According to the congruency theorem, two triangles are considered congruent when they have identical sides and they have the same size angles. This can be proved by conditions such as side-angle-side (SAS), side-side-side (SSS), angle-side-ange (ASA), and right angle-hypotenuse-one another side (RHS). Their orientation need not have to be the same also.
Even though the triangle is rotated, the corresponding part of ΔGHJ and ΔSTR are congruent. So the sides ST = GH, RT= HJ, and SR= GJ. And the angles ∠S= ∠G, ∠T=∠H, and ∠R=∠J. From the given, options, option TS ≅ HG is correct.
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The complete question is -
Triangle GHJ is rotated 90° about point X, resulting in triangle STR. Which congruency statement is true?
A. TR ≅ GJ
B. ∠S ≅ ∠H
C. TS ≅ HG
D. ∠R ≅ ∠G
suppose the caravan has 20 cars, and that the tollbooth services a car at a rate of one car per 5 seconds. car speed is 10 kilometers per second. how long does it take for the entire caravan to receive service at the first tollbooth, and line up before the second toll booth?
It takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.
It takes 100 seconds (20 * 5) for the entire caravan to receive service at the first toll booth.
Assuming that the cars line up at the second toll booth right after receiving service at the first toll booth, the time it takes for the entire caravan to line up before the second toll booth depends on the speed of the cars.
Since the speed of the cars is 10 kilometers per second, in the 100 seconds it takes for the entire caravan to receive service at the first toll booth, the entire caravan travels a distance of 1000 kilometers (100 * 10).
Since the distance between the first and second toll booths is 400 km, it takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.
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It takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.
It takes 100 seconds (20 * 5) for the entire caravan to receive service at the first toll booth.
Assuming that the cars line up at the second toll booth right after receiving service at the first toll booth, the time it takes for the entire caravan to line up before the second toll booth depends on the speed of the cars.
Since the speed of the cars is 10 kilometers per second, in the 100 seconds it takes for the entire caravan to receive service at the first toll booth, the entire caravan travels a distance of 1000 kilometers (100 * 10).
Since the distance between the first and second toll booths is 400 km, it takes 40 seconds (400 / 10) for the entire caravan to line up before the second toll booth.
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show that the two-dimensional laplacian is translation-invariant, that is, show that if the independent variables undergo a translation to the new variables x
We translate the independent variables x and y by amounts a and b, respectively, the Laplacian operator remains unchanged. This property is known as translation invariance.
To show that the two-dimensional Laplacian is translation-invariant, we need to demonstrate that if the independent variables undergo a translation to new variables x' and y', the Laplacian operator remains unchanged.
The two-dimensional Laplacian operator is given by:
∇^2 = (∂^2/∂x^2) + (∂^2/∂y^2)
Let's consider a function f(x, y) and its translated counterpart f'(x', y') after a translation in the x and y directions. The translated variables are related to the original variables as follows:
x' = x + a
y' = y + b
where 'a' represents the translation in the x-direction and 'b' represents the translation in the y-direction.
To show the translation invariance, we need to prove that ∇^2[f'(x', y')] = ∇^2[f(x, y)].
Let's compute the Laplacian of the translated function f'(x', y'):
∇^2[f'(x', y')] = (∂^2f'/∂x'^2) + (∂^2f'/∂y'^2)
Using the chain rule, we can express the partial derivatives with respect to the original variables:
∂f'/∂x' = ∂f/∂x
∂f'/∂y' = ∂f/∂y
Substituting these expressions into the Laplacian of the translated function:
∇^2[f'(x', y')] = (∂^2f/∂x^2) + (∂^2f/∂y^2)
This expression is equal to the Laplacian of the original function f(x, y). Therefore, we have shown that the two-dimensional Laplacian is translation-invariant.
In summary, if we translate the independent variables x and y by amounts a and b, respectively, the Laplacian operator remains unchanged. This property is known as translation invariance.
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farmer ed has 9000 meters of fencing, and wants to enclose a rectangular plot that borders on a river. if farmer ed does not fence the side along the river, find the length and width of the plot that will maximize the area. what is the largest area that can be enclosed?
The length and width of the plot that will maximize the area is 60 meters by 120 meters. The largest area that can be enclosed is 7200 square meters.
To maximize the area of the rectangular plot, Farmer Ed must use 9000 meters of fencing to enclose three sides of the plot. The fourth side, which borders the river, does not need to be fenced. To find the length and width of the plot that will maximize the area, the 9000 meters of fencing must be divided into two sides of equal length, with the remaining fencing used for the third side. This results in a length of 120 meters and a width of 60 meters, which maximizes the area of the plot. The largest area that can be enclosed is 7200 square meters.
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two containers are used to hold liquid. these containers have exactly the same shape. the first container has a height of 20 cm, and it can hold 320 m3 of liquid. if the second container has a height of , how much liquid can it hold?
The second container can hold approximately 1715 m³ of liquid.
Two containers have exactly the same shape, we can use their height ratio to determine the liquid capacity ratio.
Let's denote the height of the first container as H1 = 20 m and its liquid capacity as C1 = 320 m³.
We want to find the liquid capacity of the second container, C2, given its height H2 = 35 m.
The ratio of the heights is H2 / H1 = 35 m / 20 m = 7/4.
The ratio of the liquid capacities is equal to the ratio of the volumes, since the containers have the same shape. Therefore, we have:
C2 / C1 = (H2 / H1)³
Substituting the given values:
C2 / 320 m³ = (7/4)³
Simplifying the exponent:
C2 / 320 m³ = 343 / 64
To find C2, we can cross-multiply:
C2 = (343 / 64) × 320 m³
Calculating the result:
C2 ≈ 1715 m³
Therefore, the second container can hold approximately 1715 m³ of liquid.
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The question is incomplete the complete question is :
two containers are used to hold liquid. these containers have exactly the same shape. the first container has a height of 20 m, and it can hold 320 m³ of liquid. if the second container has a height of 35 m, how much liquid can it hold?
ITS WORTH 20 POINTS, Write the equation of the line in slope intercept form
Answer:
y=2x-3
Step-by-step explanation:
Two cars start at the same time from two towns 792 kilometers apart and meet in 9
hours. One car can travel 8 km faster than the other car. How far did each car Travel
before they meet?
The distance the slower and faster car travelled are 360 km and 432 km respectively.
How to find the distance travelled by each car?Two cars start at the same time from two towns 792 kilometres apart and meet in 9 hours.
One car can travel 8 km faster than the other car.
let
x = speed of the slower car
x + 8 = speed of the faster car
The cars meet in 9 hours and both cover a distance of 792 km.
Therefore,
speed = distance / time
distance = time × speed
Hence,
9x + 9(x + 8) = 792
9x + 9x + 72 = 792
18x = 792 - 72
18x = 720
divide both sides by 18
x = 720 / 18
x = 40
Therefore,
speed of the slower car = 40 km per hour
speed of the faster car = 48 km per hour
Hence,
how far the slower car go(distance) = 40 × 9 = 360 km
how far the faster car go(distance) = 48 × 9 = 432 km
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Here is a right-angled triangle.
601
XCm
5 cm
Cos 60° = 0.5
b) What is the value of x?
(2)
Answer:
Hypotenuse = 10 Cm
Step-by-step explanation:
Given:
θ = 60°
Base = 5 cm
Hypotenuse = x cm
Find:
Hypotenuse
Computation:
Cos θ = Base / Hypotenuse
Cos 60° = 5 / Hypotenuse
0.5 = 5 / Hypotenuse
Hypotenuse = 10 Cm
Find the unit rate. Round your answer to the nearest hundredth.
357 miles in 5 hours
miles per hour
Answer:
71.4 mph
Step-by-step explanation:
357/5
71.4
Answer:
71.40
Step-by-step explanation:
357/5= 71.4 or 71.40 to the nearest hundredth.
X² + 8x' -2
Someone help me with this ???? Please
HELP ME PLEASEEE 20 POINTSSS!!!!
Fighter pilots the maximum height, h, of a fighter pilot is 77 inches. Write this as an inequality.
h ≤ 70
h ≥ 77
h ≤ 77
h ≥ 70
Answer:
h ≤ 70 I'm pretty sure I could be wrong
The correct inequality for the maximum height, h, of a fighter pilot is h ≤ 77.
Given that the height of the fighter pilot (h) must be less than or equal to 77 inches.
The symbol "≤" represents "less than or equal to," and 77 inches is the maximum allowable height for a fighter pilot.
The inequality h ≥ 77 would be incorrect since it states that the height of the fighter pilot should be greater than or equal to 77 inches, which would not be a maximum height requirement.
Similarly, the inequality h ≤ 70 would also be incorrect as it would imply a height limit of 70 inches, which is lower than the actual maximum height allowed.
Lastly, h ≥ 70 would not be suitable as it would permit heights greater than or equal to 70 inches, potentially exceeding the specified maximum height of 77 inches.
In conclusion, the correct inequality to represent the maximum height of a fighter pilot is h ≤ 77, ensuring that their height does not exceed 77 inches.
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Explain how you can solve inequality-2x +4 <16
The solution to the inequality -2x + 4 < 16 is x > -6.
To solve the inequality -2x + 4 < 16, you can follow these steps:
Start by isolating the variable term. In this case, the variable term is -2x. Move the constant term, which is +4, to the other side of the inequality by subtracting 4 from both sides:
-2x + 4 - 4 < 16 - 4
-2x < 12
Next, divide both sides of the inequality by the coefficient of x, which is -2. It's important to note that when you divide or multiply an inequality by a negative number, you need to reverse the direction of the inequality sign:
(-2x) / -2 > 12 / -2
x > -6
The solution to the inequality is x > -6. This means that any value of x greater than -6 would satisfy the original inequality. Graphically, this represents all the numbers to the right of -6 on the number line.
So, the solution to the inequality -2x + 4 < 16 is x > -6.
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You are standing some distance from an orb that is floating 20 feet above the ground. If you were to draw a straight line from yourself to the orb the line would be 30 feet long. What is the angle of elevation of the orb?
The angle of elevation of the orb is 33.70 degrees.
How to find angle of elevation?You are standing some distance from an orb that is floating 20 feet above the ground.
The straight line from yourself to the orb the line would be 30 feet long. Therefore, the angle of elevation of the orb can be found as follows:
using trigonometric ratios,
tan ∅ = opposite / adjacent
where
∅ = angle of elevation
tan ∅ = 20 / 30
tan ∅ = 2 / 3
∅ = tan⁻¹ 0.66666666666
∅ = 33.6898030831
Therefore,
angle of elevation = 33.70 degrees.
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Sherman has 5 cats and 5 dogs. He wants to buy a toy for each of his pets. Sherman has $41 to spend on pet toys. How much can he spend on each pet? Enter the answer as a fraction in simplest form and then as an amount in dollars and cents.
Answer: 4.1; $4.10
Step-by-step explanation: He has 10 pets overall. He has 41 dollars, 41 divided by 10 is equal to 4.1; convert that to dollars by making it a fractions of hundreths and add a $.
Given that the two lines are parallel, solve for x and find the measure of the labeled angle.
Answer:
x= 30
The angles measure 80 degrees
Step-by-step explanation:
The two angles are corresponding angles and, when the lines are parallel, corresponding angles are equal.
2x+20 = 3x-10
Subtract 2x from each side
2x+20-2x = 3x-10-2x
20 = x-10
Add 10 from each side
20+10=x-10+10
30 = x
2x+20 = 2(30) +20 = 60+20 = 80
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