Aditi has enough money for 6 weeks of holiday in if she spends rupees 1400 per week.How long will the money last if she spend 1500 rupees per week?
Answers
She spends per week=1400
Total money:-
\(\\ \rm\longmapsto 1400(6)=8400\)
Now
She spends 1500 per week .
Money lasts
\(\\ \rm\longmapsto \dfrac{8400}{1500}=5.6\)
It will exist half more than 5weeks
Answer: The money will last for around 5.6 weeks.
Step-by-step explanation:
No. of weeks the money will last if ₹1400 is spent per week = 6
The total money she has = Amount spent in a week x No. of Weeks
= 1400 x 6
= ₹8400
No. of weeks the money will last if ₹1500 is spent per week = 8400/1500
= 5.6 weeks.
Related Questions
mations to Determine Similarity
What steps would you take to determine if these
figures are similar? Check all that apply.
Use a scale factor of 2.
Multiply the vertices of polygon ABCD by
O Translate the intermediate image 4 units down.
Perform two different dilations.
Reflect the intermediate image.
Answers
The steps which you would take to determine if these figures are similar include the following:
2. Multiply the vertices of polygon ABCD by 1/2.
5. Reflect the intermediate image.
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.
Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.
By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
50
2.02 m
1.22 m
border
A special shape is 2.02 m long and 1.22m wide
A double row of tiles makes a border.
Each tile is 2 cm by 2 cm.
How many tiles are needed to make the border?
A 648
B 624
C 632
D 640
E 636
Answers
Answer:
A. 648
Step-by-step explanation:
The special shape has a length of 2.02 m (202 cm) and width of 1.22 m (122 cm).
Given a tile of 2 cm × 2 cm, and that a double row of tiles make a border.
For a single row border,
the number of tiles required for its length = 202 /2 = 101
the number of tiles required for its width = 122/2 = 61
For a single row border, the total number of tiles for the perimeter of the special shape = 2 (101 + 61)
= 324
The number of tiles for a single row border is 324.
The number of tiles required to make the double row of tiles border = 2 (324)
= 648
The number of tiles required to make the border is at least 648.
From the chart, estimate (roughly) the number of transistors per IC in 2012. Using your estimate and Moore's Law, what would you predict the number of transistors per IC to be in 2040?
Answers
The estimates for the number of transistors per IC, using an exponential function, are given as follows:
2012: 4,194,304,000.2040: 6.87 x 10¹³.What is the format of an exponential function?The format of an exponential function is presented as follows:
\(y = ab^\frac{x}{n}\)
In which the parameters of the function are listed as follows:
a is the initial value of the function.b is the rate of change of the function.n is the period relative to the rate of change.Moore's Law states that the number of transistors per IC doubles every two years, hence the values of parameters b and n both have values of two, hence:
b = 2, n = 2.
The number of transistors per IC in the reference year of 1972 was of 4000, hence the initial value is of:
a = 4000.
Then the exponential function is:
\(y = 4000(2)^{\frac{x}{2}}\)
2012 is 2012 - 1972 = 40 years after 1972, hence the estimate is given as follows:
\(y = 4000(2)^{\frac{40}{2}} = 4,194,304,000\)
2040 is 68 years after 1972, hence hence the estimate is given as follows:
\(y = 4000(2)^{\frac{68}{2}} = 6.87 \times 10^{13}\)
Missing InformationThe chart is given by the image at the end of the answer.
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In ΔVWX, w = 600 cm, m∠V=26° and m∠W=80°.
Find the length of v, to the nearest 10th of a centimeter.
Answers
The calculated length of the segment v is 267.1 cm
How to determine the possible solutions from the triangleFrom the question, we have the following parameters that can be used in our computation:
V = 26 degrees
W = 80 degrees
w = 600 cm
See attachment for the triangle
Using the law of sines, the length of w is calculated as
sin(W)/w = sin(V)/v
So, we have
sin(80)/600= sin(26)/v
This gives
v = sin(26) * 600/sin(80)
Evaluate
v = 267.1
Hence, the length of the segment v is 267.1 cm
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You are the architect for Pharaoh Khufu. He wants you to construct a square pyramid with a height of 100 m but you only have an limestone to fill a volume of 2,000,000 m³. How long should the sides of the square base be? Round your answer to the nearest hundredth.
Answers
The length of each side of the square base should be approximately 244.95 meters when rounded to the nearest hundredth.
To calculate the length of the sides of the square base of the pyramid, we can use the formula for the volume of a square pyramid:
V = (1/3) * (side length)^2 * height
Given that the volume of the pyramid is 2,000,000 m³ and the height is 100 m, we can substitute these values into the formula:
2,000,000 = (1/3) * (side length)^2 * 100
To isolate the side length, we can rearrange the equation:
(side length)^2 = (2,000,000 * 3) / 100
(side length)^2 = 60,000
Taking the square root of both sides, we find:
side length ≈ √60,000
side length ≈ 244.95
Therefore, the length of each side of the square base should be approximately 244.95 meters when rounded to the nearest hundredth.
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Click on the graphic below until RA TU at point Q is displayed. Plzzzzz help
Answers
Answer:
I think its
T
R--------Q----------A
U
Step-by-step explanation:
Because RA as a line bisects TU
HELP PLEASE I WILL MARK YOU BRAINLIEST Jermias buys 6.5 pounds of ground beef at the grocery store. Ground beef costs $5.50 for one pound. How much does Jeremias spend?*
Answers
Answer: $35.75
Step-by-step explanation: 6.5x5.5=35.75
Answer:
the answer is drum rollll
Step-by-step explanation:
7.58
EASY POINTS!
What is the constant of proportionality based on the graph below?
0.75
2.5
3
4.5
Answers
Answer:
0.75
Step-by-step explanation:
URGENTE PORFAVOR .
If the point (6, -7) is on the graph of the function f(x), which point is on the graph of the inverse function ƒ˜¹(x)?
(-7,6)
(-7,-7)
(6,-7)
(6,6)
Answers
Answer:
A) (-7, 6)
Step-by-step explanation:
The graph of the inverse function is a reflection in the line y = x.
The mapping rule for a reflection in the line y = x is:
(x, y) → (y, x)Therefore, if point (6, -7) is on the graph of the function f(x), the point that is on the graph of the inverse function f⁻¹(x) is:
(6, -7) → (-7, 6)Party trays which cost $14.00 to make not including labor are sold for $35.00 if two people work 8 hour shifts making the trays at $7.00 per hour how many trays must be sold to cover all costs including labor?
Answers
The mean incubation time of fertilized eggs is 19 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 day. Answer the following. For each question draw an appropriate distribution function (graph) to represent the data, shade the desired area, and show all work, including what you input into your calculator to attain your results.
(A) The 14th percentile for incubation times is __ days.
(B) The incubation times that make up the middle 97% of fertilized eggs are __ to __ days.
Answers
Answer:
a)17.92
b) 16.83 .... 21.17
Step-by-step explanation:
ρ→ z
0.14 = -1.080319341
-1.080 = (x - 19)/1 = 17.92
~~~~~~~~~~~~~~~~~~
3% / 2 = 1.5%
1.5% - 98.5%
ρ→ z
0.015 = -2.170090378 .... -2.17 = (x-19) =16.83
0.985 = 2.170090378 .... 2.17 = (x-19) =21.17
Signature of the Principle investigator on the final proposal implies his responsibility for the following except
Answers
The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.
The signature of the Principal Investigator (PI) on the final proposal does not imply responsibility for certain aspects of the project beyond their control or expertise. While the PI plays a crucial role in leading and overseeing the research project, there are certain areas for which they may not bear direct responsibility.One aspect the PI may not be responsible for is the availability of funding. Although they may have been involved in securing the initial funding or writing the budget proposal, the final decision and availability of funds typically lie with funding agencies, institutions, or sponsors. The PI's signature on the proposal signifies their commitment to the project but does not guarantee funding.Additionally, the PI may not be accountable for the technical or scientific success of every aspect of the project. Research projects often involve interdisciplinary collaborations and multiple team members who contribute their expertise. The PI's signature signifies their leadership and overall responsibility, but they rely on the expertise and contributions of other team members for specific tasks and outcomes.Furthermore, the PI may not bear sole responsibility for external factors that can impact the project, such as changes in regulations, unforeseen events, or external market conditions. While they may adapt the project's direction and approach as needed, these external factors are beyond their direct control.In summary, the signature of the Principal Investigator on the final proposal does not imply responsibility for funding availability, technical success of every aspect, or external factors that may influence the project. The PI's role is primarily centered around leadership, coordination, and overall project management.The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?
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Drag the tiles to the correct boxes to complete the pairs. Match each function to its domain and range.
Answers
Matching of the functions domain and range are as follows:
f(x) = 4-4x ;
Domain:{0,1,3,5,6}
Range;{-20,-16,-8,0,4}
f(x) = 5x - 3
Domain:{-2,-1,0,3,4}
Range:{-13,-8,-3,12,4}
f(x) = -10x
Domain:{-4,-2,0,2,4}
Range:{-40,-20,0,20,40}
f(x) = (3/x) + 1.5
Domain:{-3,-2,-1,2,6}
Range:{0.5,0,-1.5,3,2}.
How to find the domain and range of the functions?1) The function f(x) = 4 - 4x
Take Domain:{0,1,3,5,6}
If, we take x=0 and put in the function then we get
f(x)=4-0
f(x)=4
put x=1
f(x) = 4 - 4 =0
put x=3 then we get
f(x)=4-12=--8
put x=5 them we get
f(x)=4-20=-16
put x=6 then we get
f(x)=4-24=-20
Therefore ,range:[-20,-16,-8,0,4}
2) The function f(x)=5x-3
Take domain{-2,-1,0,3,4}
Now, put x=-2 in the function then we get
f(x) = -13
now put x=-1 then we get
f(x)=-5-3=-8
Put x=0 then we get
f(x)=0-3=-3
Put x=3 then we get
f(x)=15-3=12
Put x=4 then we get
f(x)=20-3=17
Therefore , range:{-13,-8,-3,12,17}
3) The function f(x)=-10x
Take domain:{-4,-2,0,2,4}
Put x=-4 in the function then we get
f(x)=40
Put x= -2 then we get
f(x)=20
Put x=0 then we get
f(x)=0
Put x=2 then we get
f(x)=-20
Put x=4 then we get
f(x)=-40
Therefore , range :{-40,-20,0,20,40}
4) The function f(x)= (3/x) + 1.5
Take domain:{-3,-2,-1,2,6}
Put x= -3 in the taken function then we get
f(x)=-1+1.5=0.5
put x=-2 then we get
f(x)= -1.5+1.5=0
Put x=-1 then we get
f(x)=-3+1.5=-1.5
Put x= 2 then we get
f(x)=1.5+1.5=3
Put x= 6 then we get
f(x)=0.5+1.5=2
Therefore, range : {0.5,0,-1.5,3,2}.
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Prove that the quadratic Sequence 44:52:64; 80: will always have even terms
Answers
The sequence is will always have even numbers, is hence proved.
Given, the quadratic sequence is: 44:52:64:80
Sequences with a term are known as quadratic sequences. They can be distinguished by the fact that the first differences between terms are not equal but the second differences between terms are. Utilizing the term sum in an arithmetic progression formula, the sum of even numbers formula is achieved. The equation is Sum of Even Numbers Formula = n(n+1), where n is the total number of terms in the series.
The formula is: Tₙ = 2n² ₊ 2n ₊ 40
take 2 common
Tₙ = 2(n² ₊ n ₊ 20)
in other words n² ₊ n ₊ 20 = y
therefore , Tₙ = 2y
which by definition makes Tₙ an even number at all times.
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Let f(x) = 2x + 2. Solve f−1(x) when x = 4. (1 point)
Answers
Answer:
1
Step-by-step explanation:
First, find the inverse of the original function.
x = 2y + 2
x-2/2
Second, substitute x with 4 and solve.
4-2/2
2/2
1
Best of Luck!
If f(x) = 2x + 2 is invertible, then its inverse is another function f ⁻¹(x) such that
f(f ⁻¹(x)) = 2 f ⁻¹(x) + 2 = x
Solve for f ⁻¹(x) :
2 f ⁻¹(x) + 2 = x
2 f ⁻¹(x) = x - 2
f ⁻¹(x) = (x - 2)/2 = x/2 - 1
Then when x = 4, we have f ⁻¹ (4) = 4/2 - 1 = 2 - 1 = 1.
match the function equations to their graphs. please help!
Answers
Answer:
y goes from the top to the bottom postive to negative. Then x is from left to right. The left is negative the right is postive.
Step-by-step explanation:
The graph shows the distance (d) in miles that an animal runs at a constant speed in (t) minutes. Which equation represents this situation.
Answers
of Semester Exam Review
Set background
Clear frame
Selecting Appropriate Measures of Center and Spread
6. As a basketball player for her school's varsity team, Rylee scored the
following points in her last 8 games: 8 points, 10 points, 10 points,
10 points, 14 points, 21 points, 23 points, 24 points. She wants to be
considered for the Most Valuable Player Award for the team.
What is the best measure of central tendency for the situation?
Answers
Answer:
A ) Near equator
B ) Near the poles
C ) Areas where solar radiations is most direct
D ) Only in the no
What value of n makes the equation true? Show your work.
(-4)¹⁰ / (-4)ⁿ =(-4)² . (-4)²
Answers
Answer:
We can start by simplifying the expression on the left side:
(-4)¹⁰ / (-4)ⁿ = (-4)⁹ * (-4) / (-4)ⁿ
Then, we can simplify the expression on the right side:
(-4)⁹ * (-4) / (-4)ⁿ = (-4)⁹ / (-4)ⁿ * (-4)
Now, we can set the two expressions equal to each other:
(-4)⁹ / (-4)ⁿ = (-4)⁹ / (-4)ⁿ * (-4)
Dividing both sides by (-4)⁹ gives us:
1 / (-4)ⁿ = (-4)
Multiplying both sides by -4 gives us:
-4 / (-4)ⁿ = (-4) * (-4)
Simplifying the right side gives us:
-4 / (-4)ⁿ = 16
Dividing both sides by -4 gives us:
1 / (-4)ⁿ = -4
Then, we can solve for n by taking the reciprocal of both sides:
(-4)ⁿ = -4
n = 1
So the value of n that makes the equation true is 1.
What’s the quotient of 9 and r
Answers
Answer:
9/r______________________
Step-by-step explanation:
You and a friend went to Glory Days for dinner. You ordered a cheeseburger for $8.50 and a soda for $1.99. Your friend convinced you to share and split the cost of onion rings that cost $7.00. How much did you spend on your dinner?
Answers
Answer:
$13.99
Step-by-step explanation:
that's the burger and pop and half the onion rings cost combined
the level of temperature of liquid in a thermometer is 26.52'c lower than the boiling poin. of water. what is the thermometer reading
Answers
The thermometer reading would be 73.48°C.
The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.
100 - 26.52 = 73.48
Hence, the thermometer reading would be 73.48°C.
In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.
By subtracting 26.52 from 100, we obtain a reading of 73.48°C.
Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.
In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.
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helpppppppppppppppppppppppppppppppppppppp
Answers
Answer:
the last one
Step-by-step explanation:
there is no rhythm
Need Help please, here is screenshot
Answers
1)
The axis of symmetry is x = -6.
2)
Vertex is (-6, 26).
3)
f(x) has a maximum value.
4)
f(x) is concave down.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 7 is an equation.
We have,
f(x) = -x² - 12x - 10
This is in the form of ax² + bx + c.
a = -1, b = -12, c = -10
The axis of symmetry is x = -b/2a
x = 12/(-2)
x = -6
Now,
f(x) = -x² - 12x - 10
f(x) = -(x² + 12x + 10)
f(x) = - { (x² + 12x + 36) - 36 + 10}
f(x) = -(x + 6)² + 26
This is in the form of f(x) = a (x - h)² + k
a = -1, h = -6, k = 26
Vertex = (h, k) = (-6, 26)
Now,
f(x) = -x² - 12x - 10
f'(x) = -2x - 12
f''(x) = -2
It is a negative value.
This means f(x) has a maximum value.
Now,
From the graph, we see that f(x) is concave down.
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Coordinates problems:
you start at (5, 1)You move up 2 units and down 8 units. where do you end
Answers
start at (5,1)
go up 2 (5,3)
go down 8 (5,-4)
PLEASE HELP 30 POINTS
Answers
5
A squad of 14 players is selected for a mixed football tournament.
The rules state that the ratio of boys to girls per squad must be no greater than 3:2
What is the maximum number of boys that can be selected for the squad?
Answers
Answer:
Step-by-step explanation:
The ratio of boys to girls in the squad must be no greater than 3:2. This means that for every 3 boys, there must be at least 2 girls.
Since the total number of players in the squad is 14, we can set up the following equation:
3x + 2y = 14
Where x is the number of boys in the squad, and y is the number of girls in the squad.
To find the maximum number of boys that can be selected for the squad, we need to find the highest possible value of x while still satisfying the equation.
We know that x, the number of boys, is a whole number, so we can start testing values of x by subtracting 2 from both sides and then dividing by 3
x = (14 - 2y)/3
If we start testing values for y and substituting it back into the equation, we'll find that the maximum value for y is 6, and the corresponding value for x is 5.
35 + 26 = 15 = 14
Therefore, the maximum number of boys that can be selected for the squad is 5.
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.7 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 8 engines and the mean pressure was 6.2 pounds/square inch with a variance of 0.49. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.
Answers
Answer:
The p-value of the test is 0.0416 < 0.05, which means that the null hypothesis is rejected.
Step-by-step explanation:
The engineer designed the valve such that it would produce a mean pressure of 5.7 pounds/square inch. It is believed that the valve performs above the specifications.
At the null hypothesis, we test that the mean is the specification value of 5.7, that is:
\(H_0: \mu = 5.7\)
At the alternate hypothesis, we test that the mean is above the specifications, that is, above 5.7. So:
\(H_a: \mu > 5.7\)
The test statistic is:
\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
5.7 is tested at the null hypothesis:
This means that \(\mu = 5.7\)
The valve was tested on 8 engines and the mean pressure was 6.2 pounds/square inch with a variance of 0.49.
This means that \(n = 8, X = 6.2, s = \sqrt{0.49} = 0.7\)
Test statistic:
\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)
\(t = \frac{6.2 - 5.7}{\frac{0.7}{\sqrt{8}}}\)
\(t = 2.02\)
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 6.2, which is the p-value of t = 2.02, using a right-tailed test with 8 - 1 = 7 degrees of freedom.
With the help of a calculator, this p-value is 0.0416.
The p-value of the test is 0.0416 < 0.05, which means that the null hypothesis is rejected.
I will mark you brainiest!
What is the length of EF?
A) 2.4
B) 3.8
C) 0.5
D) 1.2
Answers
Answer: 2.4
Step-by-step explanation: Given the angles below, the length of EF will be 2.4
Answer:
B) 3.8.
EF = 3.8
Use the law of sines to find the unknown length EF
my sister went on her first date last night and she is 22 any advice
Answers
Answer:
be yourself
Step-by-step explanation:
that's the only thing that i can say
Answer:
Just let her.
Step-by-step explanation: