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Related Questions
If a four-sided figure has four congruent sides, then it has four right angles. Prove this wrong
Answers
What is the ratio of 2.5 million to 1.5 million
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Travis traveled 320 miles in 5 hours. What is his unit rate of speed in miles per hour? _____ miles per hour
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The unit rate of speed in miles per hour is 64 miles per hour if Travis traveled 320 miles in 5 hours.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
We have:
Travis traveled 320 miles in 5 hours.
The distance d = 320 miles
Time is taken t = 5 hours
As we know, the change in values of a dependent variable with respect to the independent variables.
The unit rate of speed in miles per hour = 320/5
The unit rate of speed in miles per hour = 64 miles per hour
Thus, the unit rate of speed in miles per hour is 64 miles per hour if Travis traveled 320 miles in 5 hours.
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Myles can ride his bike 24 miles in 6 hours. How many miles can he travel in 1 hour? (Unit rate)
How many miles can Myles travel in 5 hours?
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A cylinder has its height doubled and its radius cut to one third. What is the ratio of the volumes of the modified cylinder to the original cylinder?
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[tex]V_{2}=2h_{1} \pi ( \frac{1}{3} r_{1})^{2}=\frac{2}{9} \pi h_{1}( r_{1})^{2}[/tex]
Taking the ratio of V2/V1 = 2/9
Final answer:
The ratio of the volumes of the modified cylinder (height doubled and radius cut to one third) to the original cylinder is 2:9.
Explanation:
To find the ratio of the volumes of the modified cylinder to the original cylinder, we need to use the formula V = πr²h.
Let the original radius be 'r' and the original height be 'h'. The volume of the original cylinder V1 is given by:
V1 = πr²h
After doubling the height and cutting the radius to one third, the new radius is 'r/3' and the new height is '2h'. The volume of the modified cylinder V2 is:
V2 = π(r/3)²(2h) = π(r²/9)(2h) = (2/9)πr²h
The ratio of the volumes is then:
Volume Ratio (V2/V1) = (2/9)πr²h / πr²h = 2/9
So, the ratio of the volumes of the modified cylinder to the original cylinder is 2:9.
Dan bought a truck for $29,800. The value of the truck depreciated at a constant rate per year. The table below shows the value of the truck after the first and second years: Year 1 2 Value (in dollars) 26,522 23,604.58 Which function best represents the value of the truck after t years?
A.F(T)=29,800(0.89)^t
B.F(T)=26,522(0.89)^t
C.F(T)=29,800(0.11)^t
D.F(T)=26,522(0.11)^t
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r=0.89
F(t)=29800(0.89)^t
Answer:
A
Step-by-step explanation:
did the test
Which is true? A 10.59 > 10.60 B 10.590 = 10.59 C 10.43 < 10.24 D 9.0005 = 9.0050
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Hope this helps!
A) 10.59 > 10.60: True, because 10.59 is greater than 10.60.
B) 10.590 = 10.59: True, as they have the same value.
C) 10.43 < 10.24: False, as 10.43 is greater than 10.24.
D) 9.0005 = 9.0050: False, as they are not equal.
Use the concept of mathematical expression defined as:
Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions.
A) 10.59 > 10.60: This statement is true.
In decimal numbers, the higher the number, the greater its value.
Since 10.59 is greater than 10.60 (because 59 is greater than 60), this statement holds true.
B) 10.590 = 10.59: This statement is also true.
When two decimal numbers have the same digits after the decimal point, they are considered equal.
In this case, 10.590 and 10.59 have the same value.
C) 10.43 < 10.24: This statement is false.
Similar to the first option, the higher the number, the greater its value.
In this case, 10.43 is greater than 10.24,
So the statement is not true.
D) 9.0005 = 9.0050: This statement is also false.
Although the numbers are very close, they are not equal.
When comparing decimal numbers, each digit after the decimal point matters.
In this case, the numbers differ after the fourth decimal place, making them unequal.
Hence, the given expressions:
A) 10.59 > 10.60: True,
B) 10.590 = 10.59: True,
C) 10.43 < 10.24: False,
D) 9.0005 = 9.0050: False.
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Avani went to the grocery store and bought home a cardboard box that was covered with a sealed top Two end face of the box are squares The area of the face on either end is 64 square inches what is the length of the side of a square face? Plz help me plz
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Please Help!
1. Define an example of a function – this could be distance traveled vs. time, the cost
of a turkey vs. weight, ect.
2. Show this relation as a set of correctly determined ordered pairs -- you will need
at least 5 ordered pairs in set notation -- remember that set notation will look
like: {(1, 2)(3, 4)(5, 6)(7, 8)(9, 10)} with the { } around the ordered pairs.
Can you please explain how you did it. I want to understand. (30pts)
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[tex]p=8t[/tex]
where p = pay ($) and t = time (hr)
Pick some values for t and substitute them into the formula to get the corresponding pay.
(0, 0) <--- no hours, no pay
(1, 8) <--- one hour, pay $8
(2, 16) <--- two hours, pay $16
etc.
[tex]\{(0,0), (1,8), (2,16), (3, 24), (4, 32), (5, 40)\}[/tex]
A large planetarium in the shape of a dome is being built. When it is complete, the base of the dome will have a circumference of 87 kilometers. What area of land was required for this planetarium?
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r = 87 km / 2 / pi = 13.846 km,
Now the areas is:
A = pi * 13.486^2 = 602.32188213127836 km^2 = 602.32 km^2
Huge
Answer:
602.32 km²
Step-by-step explanation:
First, find the radius of the circle using the circumference formula
C = 2π*r
87 = 2π*r
∴ r = 13.8465 km
Second, using the radius, calculate the area:
A = π * r²
A = π * 13.8465²
A = 602.32 km ²
Suppose that (x1, y1) and (x2, y2) are two points on a linear function. Write the formula to find the function’s rate of change for the interval [x1, x2].
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(y2 - y1)/(x2 - x1)
Final answer:
The rate of change for a linear function on the interval [x1, x2] is the slope of the line m, calculated by dividing the difference in y-values by the difference in x-values: m = (y2 - y1) / (x2 - x1).
Explanation:
To find the rate of change of a linear function for the interval [x1, x2], we need to calculate the slope of the line connecting the points (x1, y1) and (x2, y2). This is done using the formula:
m = (y2 - y1) / (x2 - x1)
where m represents the slope, which is the ratio between the change in y-values (rise) and the change in x-values (run). When graphing the function, if you plotted these two points, you'd be able to draw a straight line between them, and by finding the slope, you determine how steep the line is. The slope, or rate of change, indicates how much y increases or decreases for each unit increase in x. This rate of change is constant along the entire length of a straight line.
Meredith lives 24 blocks from her friends house. she travels 1 block per minute. What if she travels 2 blocks per minute? how many blocks would it take her to get to her friends house?
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Answer:
12 block
Step-by-step explanation:
We are given that Meredith lives 24 blocks from her friends house if she travels 1 block per minute .
We have to find the number of blocks if she travel 2 blocks per minute .
In order to find the number of blocks from Meredith friend house
we will divide 24 by 2
Therefore, if she travels 2 block per minute then she travel
[tex]\frac{24}{2}=[/tex]12 block
Hence, Meredith lives 12 block from her friends house if she travel 2 block per minute .
How do i solve
3(x+3)=18
Answers
3(x+3)=18
Distribute the brackets.
3*x=3x
3*3=9
3x+9=18
Subtract 9 from both sides.
(3x+9)-9=(18)-9
3x=9
Divide both sides by 3.
(3x)/3=(9)/3
x=3
Hope this helps.
-Benjamin
3 times X is 3x and 3 times 3 is 9
So
3x+9 =18
-9 -9
0. 9
3x=9
9/3 is 3
X=3
Question 2 (multiple answer)
Which simplifications of the powers of i are correct?
There is more than one correct answer. Select all correct answers.
i7=i4⋅i3=−1⋅−i=i
i6=i4⋅i2=1⋅−1=−1
i6=i4⋅i2=−1⋅−1=1
i7=i4⋅i3=1⋅−i=−i
i8=i4⋅i4=−1⋅−1=1
i5=i3⋅i2=−i⋅−1=i
i5=i3⋅i2=i⋅−1=−i
i8=i4⋅i4=1⋅1=1
Answers
i6=i4⋅i2=1⋅−1=−1
i7=i4⋅i3=1⋅−i=−i
i5=i3⋅i2=−i⋅−1=i
i8=i4⋅i4=1⋅1=1
Robbie did a survey of four butterfly parks and wrote the following observations: Butterfly Park SurveyPark Number of White Butterflies Total Number of Butterflies A 24 86 B 43 92 C 12 68 D 32 52 Based on the survey, which park had the greatest percentage of white butterflies?
Answers
B = 43 / 92 = 47%
C = 12 / 68 = 18 %
D = 32 / 52 = 62%
Answer D
Answer:
A = 24 / 86 = 28%
B = 43 / 92 = 47%
C = 12 / 68 = 18 %
D = 32 / 52 = 62%
Answer D
Step-by-step explanation:
Suppose you are walking home from the skating ring , you have to walk 6 miles east and 9 miles north , use the Pythagorean theorem how far is the skating ring from where u are.
plzzzzz!!!!!help
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this forms a right triangle where you need to calculate the length of the hypotenuse by using the Pythagorean theorem
a^ + b^2 = c^2
6^2 = 36
9^2 = 81
36+81 = 117
sqrt(117) = 10.816
10.8 miles
The land ares of Florida is 1×100,000+3×10,000+9×1,000+8×100+5×10+2×1 square kilometers. Write in standard form and word form
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a metallurgist has an alloy with 10% titanium and an alloy with 20% titanium. he needs 100 grams of an alloy with 17% titanium. how much of each alloy should be mixed to attain the 100 grams of alloy with 17% titanium?
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Let us say that:
x = mass of 10% titanium alloy required
y = mass of 20% titanium alloy required
To solve this problem, we set-up two mass balances or equations.
Overall mass balance: x + y = 100
x = 100 – y ---> 1
Titanium mass balance: 0.10 x + 0.20 y = 0.17 (100)
0.10 x + 0.20 y = 17 ---> 2
Now we combine equations 1 and 2:
0.10 (100 – y) + 0.20 y = 17
10 – 0.10 y + 0.20 y = 17
0.10 y = 7
y = 70 g
Calculating for x using equation 1:
x = 100 – y
x = 100 – 70
x = 30 g
Answer:
x = 30 g of 10% titanium alloy required
y = 70 g of 20% titanium alloy required
what is 12/20 as a percent?
Answers
0.6 as a percent is 60%.
Answer:
60%
Step-by-step explanation:
HELP PLEASE !!!!
Solve rt-3f=12 for f
SHOW STEPS !!!! And explain how to get answer please
Answers
-3f=12-rt divide both sides by -3
f=(rt-12)/3
Hey!
Hope this helps...
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
If you have any questions on how I did this, please ask!
rt - 3f = 12
-3f = 12 - rt
f = (12 - rt) / 3
Because we do not know what r nor t equal, we cannot find the exact value of f...
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Have a Great Day!
Identify the equation of the line that has a y-intercept of 7 and is parallel to the graph of y = 5x - 3
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Your equation would be y=5x + 7
I don't get how to do it i have tried but I can't I think that it might be 20 i think
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show six
ways to add 2,3,4
Answers
2 + 4 + 3
4 + 3 + 2
4 + 2 + 3
3 + 4 + 2
3 + 2 + 4
Answer and Explanation:
Given : Numbers 2,3,4.
To find : Show six ways to add the numbers?
Solution :
As there are three numbers so arrangement of these numbers are as follow by changing there positions,
[tex]2+3+4=9[/tex]
[tex]2+4+3=9[/tex]
[tex]3+2+4=9[/tex]
[tex]3+4+2=9[/tex]
[tex]4+2+3=9[/tex]
[tex]4+3+2=9[/tex]
Above are the ways.
A pre-image point is rotated 90° clockwise. If the pre-image point had the coordinates (3, -5), what are the coordinates of its image point?
(-5, -3)
(5, 3)
(-3, 5)
(-3, -5)
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Answer:
(-5,-3)
Step-by-step explanation:
PLEASE HELP WITH THESE TWO IM VWRY CONFUSED AND SIPER DUMD !!
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I was not sure it was correct only
Donald eats 6 per minute so if you multiply it by 50 it will be 300. 500 - 300 = 200 burgers.
Wendy eats 4 per minute so if you multiply it by 50 it is 200. So 400 - 200 is 200 burgers.
3 hours worked for$12;9 hours worked for $36
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This answer explains the concept of Labor Economics and Wages by calculating the hourly rate from given total pay and total hours worked.
Explanation:The subject of this question involves Labor Economics and Wages.
In this scenario, the wage for working 3 hours is $12, while for working 9 hours, the pay is $36. To determine the hourly rate, we can use the formula: Hourly Rate = Total Pay / Total Hours Worked. Applying this formula, we find the hourly rate to be $4 per hour.
Example:
3 hours worked for $12 -> Hourly rate = $12 / 3 hours = $4 per hour9 hours worked for $36 -> Hourly rate = $36 / 9 hours = $4 per hourAssume that the sales of a certain appliance dealer are approximated by a linear function. Suppose that sales were $14,500 in 1982 and $65,500 in 1987. Let x = 0 represent 1982. Find the equation giving yearly sales S
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we are given that
f(0)=a*0+b=b is $14,500.
so the sales in the first year were $14,500.
f(1) gives the sales in the second year (year 83)
f(2) gives the sales in the third year (year 84)
.
.
f(5) gives the sales in the sixths year (year 87)
the slope of the line, a, is given by :
[tex] \frac{f(5)-f(0)}{5-0}= \frac{65,500-14,500}{5}= 10,200[/tex]
thus,
S=ax+b=10,200x+14,500
Answer: S=10,200x+14,500
Final answer:
To articulate the linear equation for yearly sales S, we calculate the slope from the two provided data points and use the slope-intercept form, ultimately deriving the equation S = 10200x + 14500.
Explanation:
To find the equation giving yearly sales S, we can use the two data points: sales were $14,500 in 1982 and $65,500 in 1987. With x = 0 representing 1982, the two points are (0, 14500) and (5, 65500). We can calculate the slope (m) using the formula m = (y2 - y1) / (x2 - x1), which is the change in sales over the change in time.
So, m = (65500 - 14500) / (5 - 0) = 51000 / 5 = 10200. This means the sales are increasing at a rate of $10,200 per year.
Now, we can use the slope and one point to write the linear equation in the slope-intercept form, which is Y = mx + b, where b is the y-intercept. Since when x = 0, Y = 14500, we know that b = 14500. Therefore, our final equation for yearly sales S is S = 10200x + 14500.
What is the ratio of the circumferences for two circles with areas 6π m and 150π m?
Answers
The ratio of the circumferences equals the ratio of the radii.
so we need to find their radii
first circle's radius:
pir^2 = 6pi
r = √6
second circle's radius:
pir^2 = 150pi
r = √150
Their ratio is
√6 : √150 =
√6 : √6√25 =
√6 : 5√6 =
1 : 5
The ratio of the circumferences of two circles with areas of 6π m² and 150π m² is 5:1.
To find the ratio of the circumferences of two circles given their areas, we first recall the formula for the area of a circle, A = πr², where A is the area and r is the radius. Knowing the area, we can solve for the radius of each circle. The areas given are 6π m² and 150π m².
To find the radius for the first circle, we set up the equation:
6π = πr²
We solve for r, yielding:
r = √6.
Similarly, for the second circle:
150π = πr²
This gives us:
r = √150.
Next, we use the formula for the circumference C = 2πr. We calculate the circumferences of the circles using their respective radii:
First circle's circumference: C1 = 2π(√6)
Second circle's circumference: C2 = 2π(√150)
Finally, to find the ratio of the circumferences, we divide C2 by C1 and simplify:
Ratio = C2÷C1 = (2π(√150))÷(2π(√6)) = √(150÷6) = √25 = 5.
Therefore, the ratio of the circumferences of the two circles is 5:1.
find the obtuse angle the line y-2x=7 makes with the x- axis
Answers
tan θ =m, where m is the slope of the equation
In the next step, we also incorporate operations of calculus. Since the slope is equal to Δy/Δx, this is equivalent to dy/dx in calculus. Therefore, you can find the slope by differentiating the equation in terms of x.
y-2x=7
y = 2x+7
dy/dx = 2 =m
So,
tan θ = 2
θ = tan⁻¹(2)
θ = 63.43°
Max has more than 5 carrots (number of carrots Max has = c