1st question
Answer: y = 200x
y = 400
x = 2
400 = 200*2
2nd question
Answer: y = 2x
y = 6
x = 3
6 = 2*3
Question 3 of 10
Select the action you would use to solve 3x = 12. Then select the property
that justifies that action
Select all that apply.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3.
C. Action: Divide both sides by 3
D. Property. Addition property of equality
E. Property: Multiplication property of equality
DF Property Division property of equality
Answer:
C. Divide both sides by 3
Step-by-step explanation:
3x=12
3x/3=12/3
x=4
Three dice are thrown simultaneously, the probability that sum being 3 is * (2 Points) \( 3 / 215 \) \( -12^{2} \)
The probability of getting 3 is P(A) = 1/216. The probability that sum being 3 is 1 / 216.
When three dice are thrown simultaneously, the probability that the sum is 3 is 1/216. A dice can show a minimum of one and a maximum of six dots, for a total of six sides, giving it a total of 6 * 6 * 6 = 216 possible outcomes.
:When three dice are thrown simultaneously, the probability that the sum is 3 is 1/216. The probability can be calculated as follows:
Let A be the event that the sum is 3. The number of ways to get 3 is 1, i.e., (1, 1, 1). The total number of possible outcomes is 6³,
since each die can have 6 possible outcomes.
Therefore, the probability of getting 3 is P(A) = 1/216.
In conclusion, the probability that sum being 3 is 1 / 216.
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an experimental design for a paired t test has pairs of identical twins. how many degrees of freedom are there in this t test?
The degrees of freedom are in a t test. Degrees of freedom refer to the number of values in a statistical calculation that are free to vary. In a paired t test, the degrees of freedom are calculated as the number of pairs minus 1.
In the case of using pairs of identical twins in an experimental design for a paired t test, each twin in the pair would be considered one observation. So if we have N pairs of identical twins, we would have a total of 2N observations. Since each pair of twins is considered one observation in the t test, we would have N pairs of observations. Therefore, the degrees of freedom in this t test would be N - 1.
In summary, for an experimental design using pairs of identical twins in a paired t test, the degrees of freedom would be equal to the number of pairs of twins minus 1. This is because each pair of twins is considered one observation in the t test.
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The dance committee of Pine Bluff Middle School earns $72 from a bake sale and will earn $4 for each ticket they sell to the Spring Fling dance. The dance will cost $400.
Write an inequality to determine the number, ttt, of tickets the committee could sell to have money left over after they pay for this year's dance.
Answer:
t > 82
Step-by-step explanation:
First write what we know.
Earned $72
$4 per ticket, t
Cost is $400
So let's write our equation:
The cost is $400 so we put that on the left side,
$400 =
Now on the right side, we know they earned $72, so +$72 and each ticket (t) is $4 so $4t would represent the amount earned after they sell a certain number of tickets.
So we write:
$400 = $4t + $72 Now solve for t to find the number of tickets they need to sell.
400 = 4t + 72 Subtract 72 from each side.
400 - 72 = 4t + 72 - 72
328 = 4t Divide each side by 4.
328/4 = 4t/4
328/4 = t
82 = t
If the committee wants money left over they need to sell more than 82 tickets!
Our inequality is:
t > 82
Question 1
Indicate the answer choice that best completes the statement or answers the question.
Write an equation that can be used to answer the question. Then solve. Round to the nearest tenth if necessary.
How far is the ship from the lighthouse?
8 mi
6 mi
d mi
ОО
O a. 62 +d? = 8: 5.3 mi
Ob. 82 + 6 = d?, 100 mi
Oc. 82 + 6 = d?: 10 mi
Od. 8 + 6 = d: 14 mi
Answer:
option c. 8²+6²=d²; 10mi.
Question 5 of 10A coffee company surveyed 40 potential customers to see where they wouldlike the company's new organic coffee sold. Respondents were given thefollowing four locations and asked to choose as many as they liked: grocerystores, drugstores, health food stores, and big box stores. The results aresummarized in the bar graph below, with the number of times each locationwas chosen noted above the corresponding bar.Where should we sell our organic coffee?40328.20GroceryStoresDrugstores HealthFood StoresBig BoxStoresWhat was the average number of locations chosen per potential customer?
Given:
The number of potential customers =40.
The data from the given chart is
40,32,8,20
\(\text{Average}=\frac{The\text{ sum of the data}}{\text{The number of customers}}\)\(\text{Average}=\frac{40+32+8+20}{40}\)\(\text{Average}=\frac{100}{40}\)\(\text{Average =2.5}\)Hence the average number of locations chosen per potential customer is 2.5.
Which of the following situations represent inductive reasoning? Select all that apply.
A. Harriet notices that her friend eats an apple for lunch every Monday, Wednesday, and Friday. Since today is Friday, Harriet makes a conjecture that her friend will eat an apple for lunch.
B. You notice that all butterflies in your yard are blue and black. Therefore, you decide that all butterflies are blue and black.
C. Terance adds the sides of an equilateral triangle and finds the length of the perimeter to be 3 times the length of one side. He guesses that the perimeter of every equilateral triangle will be three times the length of a side.
D. Kiana is writing a list of numbers 4, 8, 12, 16, ____. Her friend Freddy says the next number will be 20.
Solve the differential equations 2xy(dy/dx)=1 y^2. y(2)=3
The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).
To solve the given differential equation
2xy(dy/dx) = y²
We will use separation of variables and integrate to find the solution.
Start with the given equation
2xy(dy/dx) = y²
Divide both sides by y²:
(2x/y) dy = dx
Integrate both sides:
∫(2x/y) dy = ∫dx
Integrating the left side requires a substitution. Let u = y², then du = 2y dy:
∫(2x/u) du = ∫dx
2∫(x/u) du = ∫dx
2 ln|u| = x + C
Replacing u with y²:
2 ln|y²| = x + C
Using the properties of logarithms:
ln|y⁴| = x + C
Exponentiating both sides:
|y⁴| = \(e^{x + C}\)
Since the absolute value is taken, we can remove it and incorporate the constant of integration
y⁴ = \(e^{x + C}\)
Simplifying, let A = \(e^C:\)
y^4 = A * eˣ
Taking the fourth root of both sides:
y = (A * eˣ\()^{1/4}\)
Now we can incorporate the initial condition y(2) = 3
3 = (A * e²\()^{1/4}\)
Cubing both sides:
27 = A * e²
Solving for A:
A = 27 / e²
Finally, substituting A back into the solution
y = ((27 / e²) * eˣ\()^{1/4}\)
Simplifying further
y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)
Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is
y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)
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What is the angle between the vectors − 2i 3j k and i 2j − 4k?
The angle between the vectors can be found using the dot product. The formula is θ= |A| =√(x12 + y12 + z12) The angle between the vectors -2i + 3j + k and i + 2j - 4k is approximately 137.8 degrees.
v1 • v2 = (-2i + 3j + k) • (i + 2j - 4k)
= -2 - 6 + 1 = -7
|v1| = \(\sqrt{((-2)^2 + 3^2 + 1^2)}\)
=\(\sqrt{(4 + 9 + 1)}\)
=\(\sqrt{14}\)
|v2| = \(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)
= \(\sqrt{(1 + 4 + 16) }\)
= (\(\sqrt{21}\)
θ= |A| (-7/\(\sqrt{14}\)\(\sqrt{21}\))
= |A| (-7/21*14)
= |A|(-7/294)
= 137.8 degrees
The angle between two vectors can be found using the dot product formula. This formula isθ= |A| =√(x12 + y12 + z12). In the case of the vectors -2i + 3j + k and i + 2j - 4k, this formula can be used to find the angle between them. The dot product of the two vectors is -2 - 6 + 1 = -7. The magnitude of the first vector, |v1|, can be found using the Pythagorean theorem, which is
\(\sqrt{((-2)^2 + 3^2 + 1^2)}\)
= \(\sqrt{(4 + 9 + 1)}\)
= \(\sqrt{14}\).
The magnitude of the second vector, |v2|, can be found using the Pythagorean theorem, which is
\(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)
= \(\sqrt{(1 + 4 + 16)}\)
= \(\sqrt{21}\)
Once the dot product and magnitudes are known, the angle between the two vectors can be found using the formula .Therefore, the angle between the two vectors is approximately 137.8 degrees.
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1. How many Grade 10C students should join so that they can fill the quota? (Show your computation).
Will give brainliest!!
Answer:
yes
Step-by-step explanation:
took test
Answer:
No
Step-by-step explanation:
As the balloon inflates at 20 cubic inches per second, the diameter and radius are changing. let's focus on the moment when the radius is 12 inches. share your answer with correct units.
At the moment when the radius is 12 inches, the balloon is inflating at a rate of 20 cubic inches per second.
To determine the rate at which the radius is changing, we can use the formula for the volume of a sphere, which is given by \(V = \left(\frac{4}{3}\right)\pi r^3\), where V is the volume and r is the radius.
Taking the derivative of both sides with respect to time t, we get \(\frac{dV}{dt} = 4\pi r^2\left(\frac{dr}{dt}\right)\), where \(\frac{dV}{dt}\) represents the rate of change of volume with respect to time and \(\frac{dr}{dt}\) represents the rate of change of radius with respect to time.
Given that \(\frac{dV}{dt} = 20\) cubic inches per second, we can substitute this value into the equation and solve for \(\frac{dr}{dt}\) when r = 12 inches:
\(20 = 4\pi (12)^2 \left(\frac{dr}{dt}\right)\)
Simplifying the equation:
\(20 = 576\pi \left(\frac{dr}{dt}\right)\)
Dividing both sides by 576π:
\(\left(\frac{dr}{dt}\right) = \frac{20}{576\pi}\)
Therefore, the rate at which the radius is changing when the radius is 12 inches is approximately \(\frac{20}{576\pi}\) inches per second.
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Please help hurry
It is now time to complete the Transformations of Functions Discussion. Here is an opportunity for you to challenge your classmates. Create
two exponential functions with at least one of each of the following:
a vertical stretch, compression or reflection
• a horizontal shift
a vertical shift
Ex ƒ(z) = (3)²+² -1
Number those equations in your post but do not state the transformations. Be sure to write your functions down on your own paper and list the transformations for yourself.
An exponential function with a vertical stretch by a factor of 2 and a translation left 1 unit and up 2 units is given as follows:
y = 2(2)^(x + 1) + 2.
What is a translation?A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.
The four translation rules for functions are defined as follows:
Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.A vertical stretch by a factor of k means that the definition of the function is multiplied by k.
The parent function in the context of this problem is given as follows:
y = 2^x.
Hence the exponential function with a vertical stretch by a factor of 2 and a translation left 1 unit and up 2 units is given as follows:
y = 2(2)^(x + 1) + 2.
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Which statement correctly describes the relationship between △JKL and △J′K′L′?
△JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a reflection across the x-axis, which is a rigid motion.
△JKL is not congruent to △J′K′L′ because there is no sequence of rigid motions that maps △JKL to △J′K′L′.
△JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a translation 5 units up, which is a rigid motion.
△JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a rotation of 90° counterclockwise about the origin, which is a rigid motion.
Answer:
Is not congruent because there is not sequence of rigid motions
Step-by-step explanation:
You can see the letter L
Answer:
B
Step-by-step explanation:
TOOK TEST
The normal curve with a mean of 0 and standard deviation of 1 is called ______________.
a. standard normal curve.
b. the emperical rule.
c. a random variable.
d. the z-value.
The normal curve with a mean of 0 and standard deviation of 1 is called (D) the z-value.
What is a standard score (z-value)?The z-score value indicates how many standard deviations you are from the mean. A z-score of 0 indicates that the data is on the mean. A positive z-score indicates that the raw score exceeds the mean average. For example, a z-score of +1 indicates that it is one standard deviation above the mean. The number of standard deviations by which the value of a raw score (that is, an observed value or data point) is above or below the mean value of what is being observed or measured is referred to as the standard score in statistics. Raw scores that are higher than the mean have positive standard scores, while those that are lower than the mean have negative standard scores.Therefore, the normal curve with a mean of 0 and standard deviation of 1 is called (D) the z-value.
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What are the factors of 26 (3 – c)?
26
b, C
2, b, (3 - c)
(3 – c)
Answer:
We're no strangers to love
You know the rules and so do I
A full commitment's what I'm thinking of
You wouldn't get this from any other guy
I just wanna tell you how I'm feeling
Gotta make you understand
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
We've known each other for so long
Your heart's been aching but you're too shy to say it
Inside we both know what's been going on
We know the game and we're gonna play it
And if you ask me how I'm feeling
Don't tell me you're too blind to see
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
No, I'm never gonna give you up
No, I'm never gonna let you down
No, I'll never run around and hurt you
Never, ever desert you
We've known each other for so long
Your heart's been aching but
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
No, I'm never gonna give you up
No, I'm never gonna let you down
No, I'll never run around and hurt you
I'll never, ever desert you
Step-by-step explanation:
Solve: 493x = 3432x + 1. a. x = –3 b. x = 1 c. x = 3 d. no solution
On solving the mentioned equation, the correct answer for value of x will be d. no solution.
We will begin with converting the base to same numbers. As per the fact, 49 is the square of 7 and 323 is the cube of 7. So, the equation will be -
\( {7²}^{3x} = {7³}^{(2x + 1)} \)
Now, performing the multiplication of both exponents on both sides of the equation
\( {7}^{6x} = {7}^{(6x + 3)} \)
As the bases are equal, hence will be the exponents.
6x = 6x + 3
6x is common on both sides and hence x will not exist. Thus, no solution is possible.
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The correct question is -
Solve: \( {49}^{3x} = {343}^{(2x + 1)} \). a. x = –3 b. x = 1 c. x = 3 d. no solution
Answer:
It's D, No solution.
Step-by-step explanation:
I did the assignment.
find the limit. use l'hospital's rule where appropriate. if there is an applicable alternate method to l'hospital's rule, consider using it instead. lim x→0 7x − sin(7x) 7x − tan(7x)
The limit of (7x-sin(7x))/(7x-tan(7x)) as x approaches 0 using L'Hospital's rule is 0.
What is the limit of (7x-sin(7x))/(7x-tan(7x)) as x approaches 0 using L'Hospital's rule?To evaluate the limit using L'Hospital's rule, we can take the derivative of the numerator and the denominator separately and then take the limit again.
lim x→0 (7x - sin(7x)) / (7x - tan(7x))
Taking the derivative of the numerator:
d/dx [7x - sin(7x)] = 7 - 7cos(7x)
Taking the derivative of the denominator:
d/dx [7x - tan(7x)] = 7 - 7sec²(7x)
Substituting back into the original limit expression and simplifying:
lim x→0 (7 - 7cos(7x)) / (7 - 7sec²(7x))
As x approaches 0, both cos(7x) and sec²(7x) approach 1. Therefore, we can substitute 1 for both expressions:
lim x→0 (7 - 7cos(7x)) / (7 - 7sec²(7x)) = lim x→0 (7 - 7) / (7 - 7) = 0/0
The limit is of indeterminate form 0/0, so we can apply L'Hospital's rule again. Taking the derivatives of the numerator and denominator:
d/dx [7 - 7cos(7x)] = 49sin(7x)d/dx [7 - 7sec²(7x)] = 98sec(7x)tan(7x)Substituting back into the limit and simplifying:
lim x→0 (49sin(7x)) / (98sec(7x)tan(7x)) = lim x→0 (7sin(7x)) / (14sec(7x)tan(7x))
As x approaches 0, sec(7x) and tan(7x) approach 1. Therefore, we can substitute 1 for both expressions:
lim x→0 (7sin(7x)) / (14sec(7x)tan(7x)) = lim x→0 (7sin(7x)) / (14)
As x approaches 0, sin(7x) approaches 0. Therefore, the limit simplifies to:
lim x→0 (7sin(7x)) / (14) = 0
Therefore, the limit is 0.
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Which expression can be used to find the product of 3, 5 and 7
The expression used to find the product of the numbers 3,5, and 7 is 3 x 5 x 7.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the numbers are 3,5 and 7. The product will be done as below,
To find the product of the numbers we need to multiply all the numbers.
Product = 3 x 5 x 7
Hence, the product will be calculated by the expression 3 x 5 x 7.
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A house is bought for 20 000 and sold 24 000. What is the percentage profit
Answer:
20%
Step-by-step explanation:
Profit = 24000 - 20000 = 4000
\(Profit \: percent = \frac{4000 \times 100}{20000} \\ = \frac{400000}{20000} \\ = 20\%\)
- Find BC if B(8, -7) and C(-4, -2).
The line segment BC has a length of 13 units.
What is the length of a line segment?
In this question we know the locations of the two ends of a line segment. The procedure consists in calculating the vector behind the line segment and later determing its magnitude by Pythagorean theorem. If we know that B(x, y) = (8, - 7) and C(x, y) = (- 4, - 2), then the length of the line segment BC is:
BC = (- 4, - 2) - (8, - 7)
BC = (- 12, 5)
BC = √[(- 12)² + 5²]
BC = 13
The line segment BC has a length of 13 units.
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William drove for 5 hours at an average speed of 54 mi/h. For the first two hours, he drove 45 mi/h. What was his average speed for the last three hours?
A. 40 mi/h
B. 50 mi/h
C. 60 mi/h
D. 65 mi/h
William drove for 5 hours at an average speed of 54 mi/h.
For the first two hours, he drove at a speed of 45 mi/h.
To find:William's average speed for the last three hours.
Solution:Let \(x\) represent the average speed for the last three hours (in mi/h).
The total distance traveled in the first two hours is \(\sf\:45 \, \text{mi/h} \times 2 \, \text{h} = 90 \, \text{miles} \\\).
The total distance traveled in 5 hours is \(\sf\:54 \, \text{mi/h} \times 5 \, \text{h} = 270 \, \text{miles} \\\).
The distance traveled in the last three hours is \(\sf\:270 \, \text{miles} - 90 \, \text{miles} = 180 \, \text{miles} \\\).
The average speed for the last three hours can be calculated as:
\(\sf\:\frac{\text{distance}}{\text{time}} = \frac{180 \, \text{mi}}{3 \, \text{h}} \\\)
Simplifying the expression:
\(\sf\:\frac{180}{3} = 60 \, \text{mi/h} \\\)
Therefore, the average speed for the last three hours is \(\sf\:\boxed{60 \, \text{mi/h}} \\\).
Answer:
Therefore, William's average speed for the last three hours was 60 mi/h, so the answer is (C) 60 mi/h.
Step-by-step explanation:
We can start by using the formula:
average speed = total distance / total time
We know that William drove for a total of 5 hours at an average speed of 54 mi/h, so the total distance he covered was:
total distance = average speed x total time
total distance = 54 mi/h x 5 h
total distance = 270 miles
We also know that for the first two hours, his speed was 45 mi/h. Therefore, he covered a distance of:
distance for first 2 hours = speed x time
distance for first 2 hours = 45 mi/h x 2 h
distance for first 2 hours = 90 miles
To find out the distance he covered for the last three hours, we can subtract the distance he covered in the first two hours from the total distance:
distance for last 3 hours = total distance - distance for first 2 hours
distance for last 3 hours = 270 miles - 90 miles
distance for last 3 hours = 180 miles
Finally, we can use the formula again to find his average speed for the last three hours:
average speed = distance for last 3 hours / time for last 3 hours
average speed = 180 miles / 3 hours
average speed = 60 mi/h
Maddy works for base pay: $37,555 and commission: 5.5%
H.E.L.P M.E
The 5.5 percent commission on $37555 will give Mandy a value of $2065.525
How to calculate the commission?It's important to note that commission is the amount that's given based on the sales made.
In this case, we want to calculate the commission based on the percentage. This will be:
= 5.5% × $37,555
= 0.055 × $37,555
= $2065.525
This shows the commission.
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Maddy works for base pay: $37,555 and commission: 5.5%. What is the. commission?
Maddy's total pay would be = $39,620.525
What is commission value?Commission values are the sum of money that is gotten from the total amount and the given commission rate.
The base pay received by Maddy at work = $37,555
The commission rate at work = 5.5%
His total pay after receiving after receiving his commission;
= ( 5.5/100 × 37, 555) + 37, 555.
= ( 206,552.5/100) + 37,555
= 2,065.525 + 37,555
= $39,620.525.
The amount of money that Maddy would receive at the end of work = $ 39,620.525.
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express 8cm as fraction of 2metres.
Answer:
4/200 is the answer
Your client wants you to design a spherical fountain for a new garden bed. It is hard to find a manufacturer that can create perfect curved surfaces. You will need to
Consider using 3D printing technology to create the spherical fountain. This would allow for precise and customizable designs, and could potentially be more cost-effective than traditional manufacturing methods for complex shapes.
Use a mathematical formula to design the fountain. Here are the steps to design a spherical fountain:
Determine the desired size of the fountain. This will be the diameter of the sphere. Let's say your client wants a fountain with a diameter of 6 feet.
Calculate the radius of the sphere by dividing the diameter by 2. In this case, the radius is 3 feet.
Use the formula for the surface area of a sphere to determine the surface area of the fountain. The formula is: SA = 4π\(r^2\), where r is the radius of the sphere and π is a mathematical constant (approximately 3.14). In this case, the surface area is:
SA = 4π\((3)^2\)
SA = 4π(9)
SA = 36π
SA ≈ 113.1 square feet
Use the desired water flow rate to determine the volume of water that will flow through the fountain per minute. Let's say your client wants a flow rate of 50 gallons per minute.
Use the formula for the volume of a sphere to determine the volume of the fountain. The formula is: V = (4/3)π\(r^3\). In this case, the volume is:
V = (4/3)π\((3)^3\)V = (4/3)π(27)V = 36πV ≈ 113.1 cubic feetCalculate the amount of time it will take for the fountain to cycle through all of its water. This is known as the turnover time, and it is important to maintain water quality. The turnover time is calculated by dividing the volume of water in the fountain by the flow rate. In this case, the turnover time is:
Turnover time = Volume / Flow rateTurnover time = 113.1 / (50/60)Turnover time ≈ 2.28 minutesUse these calculations to design the fountain, taking into account any necessary adjustments for the manufacturer's limitations.
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Full Question: Your client wants you to design a spherical fountain for a new garden bed. It is hard to find a manufacturer that can create perfect curved surfaces. You will need to modify the sphere to a series of cylindrical slabs with gradually decreasing radii.
Which of the following planes is parallel to ABCD
Answer:
P
1
:4x−2y+6z=3
P
2
=4x−2y−2z=6
P
3
=−6x+3y−9z=5
P
4
=2x−y−z=3
Step-by-step explanation:
The coefficients of each x,y,z give the direction vector of the normal vector of the plane.
Parallel but not identical condition will be that:
x
2
x
1
=
y
2
y
1
=
z
2
z
1
=
c
2
c
1
where each term is the coefficent of x,y,z respectively.
By observation we see P
2
and P
3
are parallel but not identical.
I hope it will help you please make me brainlestTHANK UUse an area model to find the quotient: 132 ÷ 3 = ________.
Answer:
44
Step-by-step explanation:
how many factors of a cubic expression have
a=1
b=2
c=3
d=4
Answer:
3
Step-by-step explanation:
Mathematically, the highest degree of a cubic expression is 3
The number of degrees a polynomial has will dictate the number of roots the polynomial will have
Since the degree of the polynomial is 3, then we have that the number of factors it will have is 3
can you please help me
Step-by-step explanation:
as sum of all angles of parallelogram is 360°
so,
40 + 40 + 50 + 50 = 180°
50 + 50 + 50 + 50 = 200°
80 + 90 + 90 + 50 = 310°
50 + 130 + 130 + 50 = 360°
therefore, option D is correct.
Hope this answer helps you dear!
Answer:D
Step-by-step explanation:
A parallelograms angles equal 360 so if you have 50 degrees and parallelograms opposite angles are equal you take 50+50 which equals 100 and then subtract it from 360.After that you’ll have two angles left that need measurements so divide by two to get those angles.
A water park offers two types of membership an unlimited use for $70 per month or a monthly $10 fee and $5 per visit which is the better plan?
Two membership options are available at a water park: unlimited use for $70 per month or $10 per month plus $5 per visit. 12 visits are the preferred schedule.
AQUAPARK THE BIGGEST IN THE NETHERLANDS! An incredible sight to behold a floating playground island that is 2,000 square meters in size and made up of various floating playsets. For anyone who like climbing, sliding, and jumping, this is a veritable wonderland. Malta's waters received a 96.6% outstanding rating in the assessment and are renowned for their clear waters and undeveloped coasts. Look no farther if you're searching for one of Europe's cleanest open-water locations. Siam Park is the place to go if you want a rush of adrenaline and fast-moving water rapids. While travelling with children, Aqualand is a great option if you're seeking for more family-friendly rides.
The cost of a $10 monthly charge plus $5 for each visit can be calculated as follows:
Cost = 10 + 5*v
where v denotes the monthly visits.
If both membership levels have the same price, then:
\(10 + 5*v = 70\)
\(5*v = 70 - 10\)
\(v = 60/5v = 12\)
To know more about water park here
https://brainly.com/question/28517101
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