Answer: 200 ft per hour
Step-by-step explanation:
Given : You are hiking on a trail that leads to the top of a mountain.
At 12 P.M. you reach an elevation of 3700 feet. At 4 P.M. you reach an elevation of 4500 feet.
The formula for the mean hourly change in elevation is :-
[tex]\dfrac{\text{Change in elevation}}{\text{Time in hours}}[/tex]
From the given information, the change in elevation=4500 ft-3700 ft= 800 ft
Time taken = 4 hours [From 12 pm to 4 pm]
Now, Mean hourly change in elevation=[tex]\dfrac{800}{4}=200[/tex]
Hence, the mean hourly change in elevation = 200 ft
EASY 5 POINTS!! Which expression gives the correct volume of the figure?
Answer : The correct option is, [(10 × 4 × 5) + (5 × 5 × 5)] cubic inches.
Step-by-step explanation :
As we know that,
Formula used for volume of cube is:
[tex]V=(a)^3[/tex]
or,
[tex]V=a\times a\times a[/tex]
where,
V = volume of cube
a = side of cube
Formula used for volume of cuboid is:
[tex]V=l\times b\times h[/tex]
where,
V = volume of cuboid
l = length of cuboid
b = breadth of cuboid
h = height of cuboid
The given figure is formed by the combination of two figure that is cube and cuboid.
Volume of cube = [tex](a)^3[/tex]
Given :
a = side of cube = 5 inch
Volume of cube = [tex]5\times 5\times 5[/tex] cubic inches
and,
Volume of cuboid = [tex]l\times b\times h[/tex]
Given :
l = length of cuboid = 10 inch
b = breadth of cuboid =5 inch
h = height of cuboid = 4 inch
Volume of cuboid = [tex]10\times 5\times 4[/tex] cubic inches
Total volume of figure = Volume of cuboid + Volume of cube
[tex](10\times 5\times 4)+(5\times 5\times 5)[/tex] cubic inches
Thus, the correct volume of the figure will be,
[tex](10\times 5\times 4)+(5\times 5\times 5)[/tex] cubic inches
Inez waters her plants every two days. She trims them every 15 days. She did both today. When will she do them both again?
The answer is 30 days.
The solution for this is to find the least common multiple. By getting the multiple of both numbers.
Multiples of 2: 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40…..
Multiples of 15: 15,30,45,60,75……..
The Least Common Multiples of 2 and 15 is 30. So, Inez will do them both again in 30 days.
The least common multiple (LCM) of two numbers is the smallest number that is multiple by the both number.
Jack was 11 years older than Pricilla. Together their ages totaled 151 years.what are their ages?
Which of the following types of data are likely to be normally distributed? Check all that apply.
A. The time it takes for an airliner to fly from Los Angeles to New York
B. The distance of an archer's shots from the center of a target
C. The driving distances of American commuters
D. The outcomes of flipping a coin fifty times
E. The amount of popcorn that pops per bag
The answer is A. the time it takes for an airliner to fly from Los Angeles to New York city and B. the distance of an archer's shot from the centre of a target.
What is a normal distribution?A normal distribution is a symmetrical continuous probability distribution in which values are usually clustered around the mean.
A & B should each have a range of values that cover most occurrences with outlying values that decrease in number as they move further away from the dominant value range, which is the definition of a normal distribution.
Therefore, The answer is A the time it takes for an airliner to fly from Los Angeles to New York City and B the distance of an archer's shot from the centre of a target.
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If point A lies on the line of reflection, where does the reflected image, point A', lie?
If f(x)=-4x^2+15,then f(-3)=??
The value of f(-3) for the given function f(x) = -4x² + 15 will be -21.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given function,
f(x) = -4x² + 15
Put x = -3
f(-3) = -4(-3)² + 15
⇒ -4 x 9 + 15
⇒ -36 + 15 = -21
Hence "The value of f(-3) for the given function f(x) = -4x² + 15 will be -21".
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find cosx if tanx cscx=2
A)2
B)square root 2
C)square root 2/2
D)1/2
The value of cosx if "tanx cscx = 2" is 1/2. The correct option is D)1/2
What is Trigonometry?From the question, we are to determine the value of cosx
From the given information,
tanx cscx=2
Recall that,
[tex]tan(x )= \frac{sin (x)}{cos(x)}[/tex]
and
[tex]csc(x) = \frac{1}{sin(x)}[/tex]
Then,
Substitute these values into the given equation
tanx cscx = 2 becomes
[tex]\frac{sin (x)}{cos(x)} \times \frac{1}{sin(x)} = 2[/tex]
[tex]\frac{1}{cos(x)} = 2[/tex]
∴ [tex]cos(x) = \frac{1}{2}[/tex]
Hence, the value of cosx if "tanx cscx = 2" is 1/2. The correct option is D)1/2
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eliminate the parameter. x = 5 cos t, y = 5 sin t help please!
Final answer:
To eliminate the parameter 't' from the equations x = 5 cos t and y = 5 sin t, use the Pythagorean identity which leads to the non-parametric equation of a circle: x^2 + y^2 = 25.
Explanation:
To eliminate the parameter 't' from the parametric equations x = 5 cos t, y = 5 sin t, we can use the Pythagorean identity sin^2(t) + cos^2(t) = 1. Plugging in the given expressions for x and y:
(x/5) = cos(t)
(y/5) = sin(t)
We can square both sides of these equations and then add them together:
(x/5)^2 + (y/5)^2 = cos^2(t) + sin^2(t)
As cos^2(t) + sin^2(t) equals 1, the equation simplifies to:
(x/5)^2 + (y/5)^2 = 1
Thus, the eliminated parameter equation representing the same curve without the parameter 't' is:
x^2 + y^2 = 25
This is the equation of a circle with a radius of 5, centered at the origin.
-7=7d-8
help me with the equation for that problem
In a set of integers between 18 and 95, inclusive, how many are divisible by 6 but not 12?
In a certain town 22 of voters favor a given ballot measure for groups of 21 voters find the variance for the number who favor the measure
Answer:
4.6
Step-by-step explanation:
Allow me to revise your question and hope it will be the same as the original one:
In a certain town 22% of voters favor a given ballot measure for groups of 21 voters find the variance for the number who favor the measure
a. 1.9
b. 13
c. 4.6
d. 3.6
Here is my answer:
Given:
22% of voters favor a given ballot = 0.22 Groups of 21 votersSo the variance is: 21*0.22 = 4.6
We choose B
Davis Construction is building a new housing development. They begin by mapping the development out on a coordinate grid. They place one of the two swimming pools at (-4, -1) and another at (6, 3). If they want the clubhouse to be exactly halfway between the two pools, find the coordinates of the clubhouse.
2.8 meters linen divided into 45 cm pieces = # of pieces and waste
Question part points submissions used give two sets of five numbers that have the same mean but different standard deviations. set 1: 2, 3, 7, 11, 12 set 2: 5, 6, 7, 8, 9 set 1: 2, 4, 6, 8, 10 set 2: 3, 4, 5, 7, 11 set 1: 4, 5, 7, 8, 11 set 2: 3, 6, 7, 9, 10 set 1: 3, 4, 6, 9, 13 set 2: 2, 5, 7, 8, 13 set 1: 4, 6, 7, 8, 15 set 2: 3, 6, 7, 10, 14 give two sets of five numbers that have the same standard deviation but different means.
a cell phone company offers two different monthly plans.plan a charges $41 for unlimited cell phone minutes plus $0.10 per text message.Plan b charges $31 for unlimited cell phone minutes plus $0.15 per text message.How many text messages must a customer send in order for the cost of plan a to be equal to cost of plan b
41+0.10x = 31+0.15x
10 +0.10x=0.15x
10=0.05x
x=10/.05
x= 200 text messages
check 200*0.10 = 20 +41 =61
200*0.15 = 30+31 = 61
they equal each other so number of texts is 200
A customer must send 200 text messages for the cost of Plan A ($41 plus $0.10 per text) to be equal to the cost of Plan B ($31 plus $0.15 per text).
To find out how many text messages a customer must send for the cost of Plan A to be equal to the cost of Plan B, we can set up an equation based on the cost structures given. Let x be the number of text messages sent.
Cost of Plan A: $41 + $0.10x
Cost of Plan B: $31 + $0.15x
To find the point where both plans cost the same, we set the costs equal to each other:
41 + 0.10x = 31 + 0.15x
Solving the equation:
0.05x = 10
x = 10 / 0.05
x = 200
The customer must send 200 text messages for the costs of Plan A and Plan B to be equal.
A store has a $43.89 item on sale. The total discount of the sale is $9.66. What is the sale percentage off on this item?
What is the next number in the series? 83 79 75 71 67
83-79 =4
79-75 = 4
the numbers are decreasing by 4
so the next number would be 67-4 = 63
Use a triple integral to find the volume of the given solid. the solid enclosed by the cylinder x2 + y2 = 9 and the planes y + z = 14 and z = 2.
To find the volume of the solid enclosed by the given cylinder and planes, you convert to cylindrical coordinates. Then, you set up a triple integral with respect to these coordinates as ∫∫∫ dz dr dθ where the bounds of integration are 0<=θ<=2π, 0<=r<=3, and 2<=z<=14-r.
Explanation:The volume of the solid can be found using a triple integral in cylindrical coordinates. First, we need to identify the boundaries of the solid. From the cylinder equation, we see that x² + y² = 9, which in cylindrical coordinates converts to r^2 = 9, so 0<=r<=3. Then, from the plane equations y + z = 14 and z=2, we can determine that in cylindrical coordinates, 2<=z<=14-r.
Therefore, the volume V can be found by:
V = ∫∫∫ dz dr dθ
with bounds for integration being 0<=θ<=2π, 0<=r<=3, and 2<=z<=14-r.
Running this triple integral will provide the volume of the solid.
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Problem Page
Lucy's shop sells
712
quarts of ice cream each day. How much is this in pints?
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
What percent of 645 is 187.05?
To find what percent 187.05 is of 645, one can use the following formula:
[tex]\[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \][/tex]
In this case, the Part is 187.05 and the Whole is 645. Plugging these values into the formula gives:
[tex]\[ \text{Percentage} = \left( \frac{187.05}{645} \right) \times 100 \][/tex]
Now, calculate the fraction:
[tex]\[ \text{Percentage} = \left( \frac{187.05}{645} \right) \times 100 = \left( 0.29155 \right) \times 100 \][/tex]
[tex]\[ \text{Percentage} = 29.155 \][/tex]
Therefore, 187.05 is approximately 29.155% of 645. To express this as a fraction, one can write:
[tex]\[ \text{Percentage} = \frac{187.05}{645} \times 100 = \frac{18705}{645} \approx 29.155\% \][/tex]
To get the exact fraction, we can simplify:
[tex]\[ \text{Percentage} = \frac{187.05}{645} \times 100 = \frac{18705}{645} \times \frac{20}{20} = \frac{374100}{12900} \][/tex]
Simplifying the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 300, we get:
[tex]\[ \text{Percentage} = \frac{374100 \div 300}{12900 \div 300} = \frac{1247}{430} \][/tex]
So, the exact fraction representing the percentage is:
[tex]\[ \text{Percentage} = \frac{1247}{430} \times 100 \][/tex]
[tex]\[ \text{Percentage} = \frac{1247}{4.3} \][/tex]
[tex]\[ \text{Percentage} = 29.00 \% \][/tex]
Thus, 187.05 is exactly 29% of 645.
the following data values represents a population. What is the variance of the values? 6, 10, 14, 2
Answer:20 !
Step-by-step explanation:
Round 1.136 to the nearest hundredth
$765.13 is deposited at the end of each month for 2 years in an account paying 12% interest compounded monthly. Find the amount of the account. Round your answer to the nearest cent.
The final amount is = $ 959.779
What is compound interest?
Compound interest is when you earn a hobby on both the cash we've got stored and the hobby we earn.
calculation:-
principal amount = $765.13
rate if interest = 12%
for 1st year:-
interest amount= $765.13*12/100
= $ 91.8156
final amount = $765.13 + $ 91.8156
= $ 856.9456
for 2nd year:-
principal amount = $ 856.9456
12% interest on $ 856.9456 = $ 102.833472
final amount = $ 856.9456+$ 102.833472
= $ 959.779 answer
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Write the phrase as an algebraic expression 6 less than a number times 11
One bag of Glizard wood chips covers a 215 square foot area. How many total bags of wood chips must be purchased to cover an area that is 42 feet by 61 feet?
42 x 61 = 2562
2562/215 = 11.92
12 total bags are needed
(6) (Bonus question: worth 10 points. Total points for assignment not to exceed 100.) Use an iterated integral to compute the volume of the ellipsoid x^2/a^2 + y^2/b^2 + z^2/c^2 = 1. The a, b, and c are positive constants.
A set of data with a mean of 62 and a standard deviation of 5.7 is normally distributed. what is the value that is −1 standard deviation from the mean
What is the greatest number of triangular sections, each with a base of 5 inches and a height of 8 inches, that can be cut from a rectangular piece of paper measuring 30 inches by 40 inches?
What is the simplified form of the expression? (2 – 9c)(–8)
6/5 × 25/24 multiple