Answer:
n = 36
Step-by-step explanation:
The opposite sides of a parallelogram are congruent , that is
AB = DC , substitute values
\(\frac{2}{3}\) n - 5 = \(\frac{1}{3}\) n + 7 ( multiply through by 3 to clear the fractions )
2n - 15 = n + 21 ( subtract n from both sides )
n - 15 = 21 ( add 15 to both sides )
n = 36
Answer:
n = 36
Step-by-step explanation:
AB = DC because it is a parallelogram
so:
2/3n - 5= 1/3n + 7
simplify by adding 5 to each side of the equation:
2/3n = 1/3n + 12
simplify by subtracting 1/3n from both sides of the equation:
1/3n = 12
multiply both sides of the equation by 3:
n = 36
Great questions! Now, I'll tell you:
First, perform a rotation 90 degrees clockwise.
Then. translate the figure 1 unit left and 3 units down.
Drag the green points to reflect the new shape. What are points K', L', M', and N'?
Answer:
answer:
the answer is -5
step-by-step explanation:
for an instance you lost 3 fingers of your one hand only to lose the other two then you won't have any finger in one hand therefore you have 5 less (-5) fingers. charot
15 1/3 - 5 7/9 = 10 1/3 - 7/9
Answer:
true
Step-by-step explanation:
Given a regular pentagon, find the measures of the angles formed by (a) two consecutive radii and (b) a radius and a side of the polygon.
45°; 225°
40°; 220°
60°; 210°
72°; 54°
Answer:
36°; 108°
Step-by-step explanation:
The measure of each interior angle of a regular pentagon is 108°.a) Two consecutive radii are joined to form an angle. The sum of these two angles is equal to 360° as a full rotation. Therefore, each angle formed by two consecutive radii measures (360°/5)/2 = 36°.b) A radius and a side of the polygon form an isosceles triangle with two base angles of equal measure. The sum of the angles of this triangle is 180°. Therefore, the measure of the angle formed by a radius and a side is (180° - 108°)/2 = 36°. Thus, the angle formed by the radius and the side plus two consecutive radii angles equals 180°. Hence, the angle formed by a radius and a side measures (180° - 36° - 36°) = 108°.Therefore, the measures of the angles formed by two consecutive radii and a radius, and a side of the polygon are 36° and 108°, respectively. Thus, the answer is 36°; 108°.
the balcony of an apartment is 4 feet wide by 7 feet long. on a scale drawing of the apartment, the balcony is 0.8 inch wide by 1.4 inches long, and the kitchen is 2.4 inches wide by 2.8 inches long. what is the actual width of the kitchen?
The dimensions of the kitchen is, 12 ft by 14 ft
Find scale:
\(\frac{0.8in}{4ft} = \frac{1.4 in}{7 ft} = 0.2 \frac{in}{ft}\)
Next lets us find the " real " dimensions on the kitchen:
You need to divide the measurements on the scale drawing by 0.2.
2.4 / 0.2 = 12 ft
2.8 / 0.2 = 14 ft
PLZ PLZ PLZ HELP ME PLSSSSS
Answer:
x = 70
Step-by-step explanation:
Answer:
Step-by-step explanation:
b/c we know that the inside angles of a triangle add to 180
180 = 38 + x + x + 2
180 = 40 + 2x
140 = 2x
70 = x
What is the value of m?
The value of m in the diagram is 18°
What is a right-angle?
A right angle is an angle of 90°. When two rays intersect and form a 90˚ angle or are perpendicular to each other at the intersection, they are said to form a right angle.
A right angle is an angle that measures 90 degrees. It is the most commonly seen angle in our day-to-day life.
From the diagram, the two angles sum up to 90°
∠WZX + ∠XZY = ∠WZY
3m + 3 + 33 = 90
3m + 36 = 90
3m = 90 - 36
3m = 54
m = 54/3
m = 18°
In conclusion the value of m is 18°
Learn more about right-angles: https://brainly.com/question/24323420
#SPJ1
Haley’s work evaluating (-2)8 squared is shown below.
Which statement best describe Haley’s first error?
A.She used the wrong number as a repeated factor and should have
B.She used the wrong number as a repeated factor and should have evaluated
C.She misinterpreted the exponential form and should have multiplied –2 and 8.
D.She made a sign error when multiplying and should have had 256 as a final answer. its D on edge
Answer:
D
Step-by-step explanation:
she made a sign error when multiplying and should have had 256 as an answer
Answer:
the answer is D
Step-by-step explanation:
I'm taking the test now
A roller-coaster car moves 200ft horizontally and then rises 135ft at an angle of 30.0
∘
above the horizontal. It next travels 135ft at an angle of 40.0
∘
downward. What is its displacement from its starting point? Use graphical techniques.
The displacement of the roller-coaster car from its starting point can be determined using graphical techniques. The main answer is that the displacement is approximately 157.5 ft in magnitude and in the direction opposite to the car's initial motion.
To explain further, we can break down the motion into horizontal and vertical components. The car initially moves 200 ft horizontally, which means its horizontal displacement is 200 ft. Then, it rises 135 ft at an angle of 30.0° above the horizontal. This vertical displacement can be calculated as 135 ft * sin(30.0°) = 67.5 ft upward.
Next, the car travels 135 ft at an angle of 40.0° downward. This contributes to a vertical displacement of 135 ft * sin(40.0°) = 87.2 ft downward.
To find the total vertical displacement, we subtract the downward displacement from the upward displacement: 67.5 ft - 87.2 ft = -19.7 ft.
Finally, we can use the Pythagorean theorem to calculate the magnitude of the displacement. The horizontal displacement is 200 ft and the vertical displacement is -19.7 ft. So, the magnitude of the displacement is sqrt((200 ft)^2 + (-19.7 ft)^2) ≈ 157.5 ft.
Since the vertical displacement is negative, the displacement is in the direction opposite to the initial motion of the car.
Learn more about Pythagorean theorem here:
brainly.com/question/14930619
#SPJ11
What is the name of this solid figure?
Answer:
the picture isn't whole, but what I see is a cylinder.
Step-by-step explanation:
A confectionery company mixes three types of toffees to form one kilogram " toffee packs. the pack is sold at rs. 17. the three types of toffees cost rs.20, rs. 10, rs. 5 per kg. resp. the mixture must contain atleast 300 gms of first type. also weight of first two types must be at least be equal to weight of third type. find the optimal mix for maximum profit.answer
The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.
The optimal mix for the maximum profit can be found as follows:
The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg
Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0
Let us now calculate the total cost of making 1kg of toffee pack.
Cost = 20a + 10b + 5c
If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by
Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)
Now we have the following linear programming problem:
Maximize P = 17 - (20a + 10b + 5c)
Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)
a >= 0.3a + b - c >= 0a, b, c >= 0
We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:
We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).
Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is
P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5
Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5
Corner point (0.6, 0, 0.4) result in a profit of 6
Corner point (0, 0.5, 0.5) results in a profit of 5
Corner point (0, 1, 0) gives a profit of 3
You can learn more about optimal mix at: brainly.com/question/30629565
#SPJ11
Evaluate the double integral by first identifying it as the volume of a solid.
∫∫
R (5 ? x) dA, R = {(x, y) | 0 ? x ? 5, 0 ? y ? 3}
The value of the double integral is 37.5, which represents the volume of the right triangular prism.
To identify the solid represented by the given double integral, we can rewrite the integrand in terms of the height of the solid at each point (x,y).
The integrand is (5 - x), which means that the height of the solid at point (x,y) is given by (5 - x). Therefore, the solid is a right triangular prism with a base in the xy-plane that extends from x=0 to x=5 and a height of 5 units.
The double integral can be evaluated by integrating the height function over the region R. Thus, we have:
∫∫R (5 - x) dA = ∫0^5 ∫0^3 (5 - x) dy dx
Integrating with respect to y first, we get:
∫0^5 ∫0^3 (5 - x) dy dx = ∫0^5 (5 - x) * 3 dx
= 3∫0^5 (5 - x) dx = 3(5x - x^2/2)|0^5
= 3(25/2) = 37.5
Click the below link, to learn more about Double Integral:
https://brainly.com/question/30636809
#SPJ11
PLEASE ANSWER ASAP
1. How many atoms are present in 8.500 mole of chlorine atoms?
2. Determine the mass (g) of 15.50 mole of oxygen.
3. Determine the number of moles of helium in 1.953 x 108 g of helium.
4. Calculate the number of atoms in 147.82 g of sulfur.
5. Determine the molar mass of Co.
6. Determine the formula mass of Ca3(PO4)2.
IT WOULD BE HELPFUL
The number of atoms present in 8.500 mole of chlorine atoms can be calculated using Avogadro's number, which is 6.022 x \(10^{23}\) atoms per mole. Therefore:
Number of atoms = 8.500 mole x 6.022 x \(10^{23}\)atoms/mole
Number of atoms = 5.1177 x \(10^{24}\) atoms
Find out the mass (g) of 15.50 mole of oxygen?The mass of 15.50 mole of oxygen can be calculated using the molar mass of oxygen, which is 16.00 g/mol. Therefore:
Mass = 15.50 mole x 16.00 g/mole
Mass = 248 g
The number of moles of helium in 1.953 x \(10^{8}\) g of helium can be calculated using the molar mass of helium, which is 4.00 g/mol. Therefore:
Number of moles = 1.953 x \(10^{8}\) g / 4.00 g/mol
Number of moles = 4.883 x \(10^{7}\) mol
The number of atoms in 147.82 g of sulfur can be calculated using the molar mass of sulfur, which is 32.06 g/mol, and Avogadro's number. Therefore:
Number of moles = 147.82 g / 32.06 g/mol
Number of moles = 4.608 mol
Number of atoms = 4.608 mol x 6.022 x \(10^{23}\) atoms/mol
Number of atoms = 2.773 x \(10^{24}\) atoms
The molar mass of Co (cobalt) is 58.93 g/mol.
The formula mass of Ca3(PO4)2 can be calculated by adding the atomic masses of each element in the compound. The atomic masses are:
Ca = 40.08 g/mol
P = 30.97 g/mol
O = 16.00 g/mol
Formula mass = (3 x Ca) + (2 x P) + (8 x O)
Formula mass = (3 x 40.08 g/mol) + (2 x 30.97 g/mol) + (8 x 16.00 g/mol)
Formula mass = 310.18 g/mol
to know more about atoms
brainly.com/question/30898688
#SPJ1
7 cards were drawn from a standard deck of cards without replacement what is the probability of getting 4 hearts and 3 spades
Total No. of cards in a deck = 52
Total no. of suits = 4
Total number of cards in one suit = \(\frac{52}{4} \\\) = 13
Ways of selecting combinations of 4 from 13 hearts (combination) = \(\frac{13!}{9! 4!}\)
= 715
Ways of selecting combinations of 3 from 13 spades (combination) = \(\frac{13!}{10! 3!}\)
= 286
Combining the two independent choices, there are 715×286=204490
ways to select a seven-card hand with 4 hearts and 3 spades.
Ways of selecting 7 cards from 52 cards = \(\frac{52!}{7! 45!}\) = 133784560
Probability of getting 4 hearts and 3 spades on drwaing 7 cards from the deck = \(\frac{204490}{133784560}\) = 0.0015285 (approx.)
Learn more about probability in a deck of cards at:
https://brainly.com/question/28714039
One source says that the average distance from the earth to the moon is 384,467 kilometers. another source says that the average distance from the earth to the moon is 384,000 kilometers. can both of these descriptions be correct, or must at least one of them be wrong? explain.
The descriptions of the average distance from the earth to the moon cannot both be correct. At least one of them must be wrong.
The average distance from the earth to the moon is a well-established scientific measurement, and it is highly unlikely for two reputable sources to provide significantly different values for such a widely known and studied parameter.
The accepted average distance from the earth to the moon is approximately 384,400 kilometers.
This value has been determined through extensive astronomical observations and measurements.
While small variations in measurements may occur due to factors like the moon's elliptical orbit, these variations are typically within a narrow range.
Therefore, a difference of 467 kilometers between the two given values is significant and suggests that at least one of the descriptions is incorrect or based on inaccurate information.
It is important to rely on reliable and authoritative sources when referring to scientific measurements like the average distance from the earth to the moon.
To learn more about average distance visit:
brainly.com/question/20725686
#SPJ11
Can someone pls help me
Answer:
10
Step-by-step explanation:
use Pythagoras Theron
a^2+b^2=c^2
let ms know if you have further questions
Using Pythagorean theorem
\(\\ \sf\longmapsto H^2=P^2+B^2\)
\(\\ \sf\longmapsto H^2=(5√3)^2+5^2\)
\(\\ \sf\longmapsto H^2=75+25\)
\(\\ \sf\longmapsto H^2=100\)
\(\\ \sf\longmapsto H=10\)
Question 6
An online questionnaire asked students to report whether they looked at their fingernails as either outstretched or curled up.The following data was collected for the 317 students from the class who responded to the questionnaire.
Curled up outstretched
Man 14 45
Non- Binary 1 1
Women 67 188
What is the probability (not the conditional probability) for a man checking their fingernails by Curled Up to 3 significant figures?
1. 0.25
2. 0.25
3. 0.0588
4. 0.0473
The probability of a man checking their fingernails by curled up is, 0.2373
Hence option 4 is correct.
To find the probability of a man checking their fingernails by curled up, we need to divide the number of men who reported looking at their fingernails curled up by the total number of men who responded to the questionnaire.
So, the number of men who reported looking at their fingernails curled up is 14,
And the total number of men who responded to the questionnaire is,
⇒ 14 + 45 = 59.
Therefore,
The probability of a man checking their fingernails by curled up is,
⇒ P(Curled Up) = 14/59
= 0.2373
So, the correct answer is option 4: 0.0473.
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ4
Suppose the market is competitive. Sketch the supply and demand and state the equilibrium quantity.
Suppose the market is competitive. Sketch the supply and demand and state the equilibrium quantity. 1.) Using the multipoint drawing tool, graph the market demand from the four hospitals. Label your line 'Demand'. (Use the "Esc" key after you have placed your last point to exit the drawing tool.) 2.) Using the multipoint drawing tool, graph the market supply of the four producers. Label your line 'Supply'. (Use the "Esc" key after you have placed your last point to exit the drawing tool.) The equilibrium quantity of ventilators sold is units. Carefully follow the instructions above and only draw the required pbjects.
In a competitive market, we need to graph the market demand and supply curves and determine the equilibrium quantity. The equilibrium quantity represents the quantity at which the demand and supply curves intersect.
To sketch the supply and demand curves, we first need to gather information on the market demand and supply. The demand curve represents the quantity of ventilators that the four hospitals are willing to purchase at different prices, while the supply curve represents the quantity of ventilators that the four producers are willing to sell at different prices.
Using the multipoint drawing tool, we can plot the market demand curve based on the data provided for the hospitals. Label this line as 'Demand'. Next, using the same tool, we can plot the market supply curve based on the data provided for the producers. Label this line as 'Supply'.
The equilibrium quantity is determined at the point where the demand and supply curves intersect. It represents the quantity of ventilators that will be sold in the market. To find this point, we identify the quantity at which the demand and supply curves meet on the graph.
By following the instructions and accurately plotting the demand and supply curves, we can determine the equilibrium quantity of ventilators sold in the market.
Learn more about demand and supply curves here:
https://brainly.com/question/1915798
#SPJ11
Help me with this problem please
Answer:
the constant rate of change is 20
Step-by-step explanation:
The attendance at the county fair was lowest on Thursday, the opening day. On Friday, 5,500 more people attended than attended Thursday. Saturday doubled Thursday’s attendance, and Sunday had 300 more people than Saturday. The total attendance was 36,700. Write and solve an equation to find how many people were at the fair on Saturday.
The required, equation to determine the number of people is T + (T + 5,500) + 2T + (2T + 300) = 36,700 and there were 10,300 people at the fair on Saturday.
Let's call the number of people who attended the fair on Thursday "T". Then we can use the information in the problem to set up an equation:
Friday's attendance = T + 5,500
Saturday's attendance = 2T
Sunday's attendance = 2T + 300
Total attendance = T + (T + 5,500) + 2T + (2T + 300) = 36,700
Simplifying the equation, we get:
6T + 5,800 = 36,700
6T = 30,900
T = 5,150
Therefore, the attendance on Thursday was 5,150 people. We can use this information to find the attendance on Saturday:
Saturday's attendance = 2T = 2(5,150) = 10,300
Thus, there were 10,300 people at the fair on Saturday.
Learn more about models here:
https://brainly.com/question/22591166
#SPJ1
jasmine has all nickels x and dimes y in her coin jar. if she has 36 coins in all, and four more dimes than. nickels find how much money she has in her coin jar
Answer:
She has 18 nickels and 36-18= 18 dimesSolving steps:
Question: jasmine has all nickels x and dimes y in her coin jar. if she has 36 coins in all, and four more dimes than. nickels find how much money she has in her coin jar
Find: how much money she has in her coin jar
Solution: let's make an equation for this problem
She has 4 more dimes than nikels:y= x+4 Let's use this value for y in the next equation:
x+x+4= 362x= 36x= 18
she has 18 nickels and 36-18= 18 dimes
The required Jasmine has 16 nickles and 20 dimes which constitute $2.80 in her coin jar.
Let's use the given information to set up a system of equations to solve for the number of nickels (x) and dimes (y) in Jasmine's coin jar.
We are given that Jasmine has a total of 36 coins in her jar, so we have the equation:
x + y = 36 -- Equation 1
We are also given that Jasmine has four more dimes than nickels, which can be expressed as:
y = x + 4 -- Equation 2
Now, let's solve this system of equations. We can substitute Equation 2 into Equation 1 to eliminate y:
x + (x + 4) = 36
2x = 36 - 4
x = 16
Now that we have the value of x, we can substitute it back into Equation 2 to find y:
y = x + 4
y = 16 + 4
y = 20
Therefore, Jasmine has 16 nickels (x) and 20 dimes (y) in her coin jar.
To find the total amount of money she has, we need to calculate the value of the nickels and dimes separately:
Value of nickels = 0.05 * 16 = $0.80
Value of dimes = 0.10 * 20 = $2.00
The total amount of money in her coin jar is:
$0.80 + $2.00 = $2.80
Jasmine has $2.80 in her coin jar.
Learn more about the equation model here:
https://brainly.com/question/14475188
#SPJ4
how much work, in foot-pounds, is done when a 50-foot long cable with a weight-density of 8 pounds per foot is wound up 14 feet? do not include any units in your answer.
The amount of work done when winding up a 50-foot long cable with a weight density of 8 pounds per foot is 14 feet is 5600 foot-pounds.
To explain this answer in more detail, work is a measure of energy and is calculated by multiplying force and distance. In this case, the force is the weight-density of the cable, which is 8 pounds per foot. The distance is the amount of cable that was wound up, which is 14 feet. Multiplying 8 and 14 together gives us the force of 112 pounds. Multiplying 112 by the total length of the cable, which is 50 feet, gives us the answer of 5600 foot-pounds.
To further explain, it is important to remember that 1 foot-pound is equal to 1 pound-foot. That means that 1 pound of force must be applied to move an object 1 foot in order to do 1 foot-pound of work. When this is applied to the example above, we can see that 8 pounds of force must be applied to the cable in order to move it 1 foot. Multiplying this by the length of the cable (50 feet) and the amount of cable wound up (14 feet) gives us the total amount of work done, which is 5600 foot-pounds.
In summary, the amount of work done when winding up a 50-foot long cable with a weight density of 8 pounds per foot is 14 feet is 14 x 8 x 50 = 5600 foot-pounds.
See more about work at: https://brainly.com/question/25573309
#SPJ11
Let sin A = 1/3 where A terminates in Quadrant 1, and let cos B = 2/3, where B terminates in Quadrant 4. Using the identity:
cos(A-B)=cosACosB+sinAsinB
find cos(A-B)
Using trigonometric identity, cos(A-B) is:
\(cos (A-B) = \frac{2\sqrt{8}\ + \sqrt{5}}{9}\)
How to find cos(A-B) using the trigonometric identity?Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.
If sin A = 1/3 and A terminates in Quadrant 1. All trigonometric functions in Quadrant 1 are positive
sin A = 1/3 (sine = opposite/hypotenuse)
adjacent = √(3² - 1²)
= √8 units
cosine = adjacent/hypotenuse. Thus,
\(cos A = \frac{\sqrt{8} }{3}\)
If cos B = 2/3 and B terminates in Quadrant 4.
opposite = √(3² - 2²)
= √5
In Quadrant 4, sine is negative. Thus:
\(sin B = \frac{\sqrt{5} }{3}\)
We have:
cos(A-B) = cosA CosB + sinA sinB
\(cos (A-B) = \frac{\sqrt{8} }{3} * \frac{2}{3} + \left \frac{1}{3} * \frac{\sqrt{5} }{3}\)
\(cos (A-B) = \frac{2\sqrt{8} }{9} + \left\frac{\sqrt{5} }{9}\)
\(cos (A-B) = \frac{2\sqrt{8}\ + \sqrt{5}}{9}\)
Learn more about Trigonometry on:
brainly.com/question/11967894
#SPJ1
Normal curve A has a wider distribution than Normal curve B. The distribution A must has ____________.
A. a smaller mean
B. a larger standard deviation
C. a smaller standard deviation
D. a larger mean
The distribution A must has a smaller standard deviation. So, option C is correct.
What does "normal" describe in statistics?Normal usually refers to the word "normal" in normal distribution.
The normal distribution is somewhat similar where the main observation (mean or its surrounding) occurs frequently and as we go far from mean, its chances decrease.
If we've got a normal distribution, then we can convert it to a standard normal distribution and its values will give us the z score.
If we have
\(X \sim N(\mu, \sigma)\)
(X is following a normal distribution with mean and standard deviation )
then it can be converted to a standard normal distribution as
\(Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)\)
Normal curve A has a wider distribution than Normal curve B.
The distribution A must has a smaller standard deviation.
Learn more about normal distribution here:
https://brainly.com/question/15395456
#SPJ2
Federick chopin-nocturne Op. 9 revloutionary etude which peice conveys chopins passionate side?
A. Nocture Op. 9 No. 2
B. Revolutionary Etude
Federick chopin-nocturne Op. 9 revloutionary etude which peice conveys chopins passionate side, Nocturne Op. 9 No. 2 conveys Chopin's passionate side is the correct answer, so option B is correct.
The Nocturne Op. 9 No. 2 is generally considered to be the piece that conveys Chopin's passionate and emotional side, as it is a beautiful and expressive melody with a romantic character. The Revolutionary Etude, on the other hand, is known for its fiery and intense nature, as it was written to reflect Chopin's feelings about the political situation in his native Poland.
Learn more about Poland :
https://brainly.com/question/12114573
#SPJ4
two robots can do a task in 5 min, working together. the first robot working alone can do the task in 15 minutes
To solve this problem, we can use the concept of rates and the formula:
Rate = Work / Time
Let's denote the rate of work for the first robot as R1 (in units of tasks per minute) and the rate of work for the second robot as R2 (in units of tasks per minute).
We are given that when both robots work together, they can complete the task in 5 minutes. So, their combined rate of work is:
R1 + R2 = 1 task / 5 minutes
We are also given that the first robot working alone can complete the task in 15 minutes. Therefore, its rate of work is:
R1 = 1 task / 15 minutes
Now, we can solve the system of equations:
R1 + R2 = 1/5
R1 = 1/15
To find R2, we substitute the value of R1 into the first equation:
1/15 + R2 = 1/5
To combine the fractions on the left side, we need a common denominator:
(1 + 3R2)/15 = 1/5
Cross-multiplying gives:
5 + 15R2 = 15
Subtracting 5 from both sides:
15R2 = 10
Dividing both sides by 15:
R2 = 10/15 = 2/3
Therefore, the rate of work for the second robot is 2/3 tasks per minute.
To find the time it would take for the second robot to complete the task alone, we can use the formula:
Time = Work / Rate
Time = 1 task / (2/3 tasks per minute) = 3/2 minutes
So, the second robot can complete the task alone in 3/2 minutes, which is equivalent to 1 minute and 30 seconds.
To know more about concept of rates visit:
https://brainly.com/question/30700982
#SPJ11
If a researcher wants to examine if there is a relationship between the number of steps taken and HR in a group of 1000 athletes, what would be the appropriate test to recommend? O Chi-Square O Spearman's Correlation Coefficient O Pearson's Correlation Coefficient Multiple Regression
The appropriate test to examine the relationship between the number of steps taken and HR in a group of 1000 athletes depends on the type of data and the research question.
If the number of steps and HR are both measured on a continuous scale and the research question is to examine the strength and direction of the relationship between the two variables, then the appropriate test would be Pearson's correlation coefficient.
If either the number of steps or HR is measured on a continuous scale and the other variable is measured on an ordinal scale, then the appropriate test would be Spearman's correlation coefficient.
However, if the research question is to predict HR based on the number of steps taken, and there are other variables that may influence the relationship, then multiple regression analysis would be the appropriate test.
Chi-Square test is used to examine the association between two categorical variables. It is not appropriate for examining the relationship between a continuous and categorical variable.
To know more about Chi-Square test refer here:
https://brainly.com/question/14082240
#SPJ11
Complete the table. In the row with X as the input write the rule as an algebraic expression for the output then complete the last row of the table using the rule. Express the values in your answers as decimals
The last two rows of the table should be completed as follows:
Input Output
8 22.80
10 28.50
What is algebraic expression?An algebraic expression is a mathematical phrase that contains numbers, variables, and operations. It is used to represent a single quantity or value, and can be written in terms of one or more variables.
The rule given is an algebraic expression, x, which is the input, multiplied by 2.85, which is the output. Using this information, we can determine the cost of 10 muffins.
To find the cost of 10 muffins, we can use the algebraic expression given. First, we will multiply 10, the number of muffins, by 2.85, the cost of one muffin. This gives us a total of 28.50. Therefore, the cost of 10 muffins is 28.50.
Using this same rule and process, we can also determine the cost of any number of muffins. For example, if we want to know the cost of 15 muffins, we can simply multiply 15 by 2.85, giving us a total of 42.75.
For more questions related to numbers
https://brainly.com/question/24644930
#SPJ1
1 less than a doubled number is equivalent to 5 more than 3 lots of the number
Answer:
the number is -6 (assuming "3 lots of" means 3 times)
Step-by-step explanation:
Let the number be x
1 less than a doubled number
2x-1
5 more than 3 lots of (times???) the number
3x+5
Solve for x
2x-1 = 3x + 5
-x = 5+1
x = -6
Please help , I’ve been stuck on it for ages , really appreciate it. , thanks
it is delivered with the help of short note or a clear outline
Answer:
it means that 5000 was 30 percent of them
so ask your self if 30 is 5000
100 ?
Step-by-step explanation:
30. 5000
100. x
100*5000/30=16666
what number follows k? what number is before k? What is the sum of the two numbers?