A rabbit lure on a greyhound racetrack is set to travel once around the track at 50 feet per second, and then its speed is increased to 65 feet per second for the second loop around the track. If the total time it takes for the lure to go around the track twice is 184 seconds, what is the distance once around the track?
Can someone please help me with math
What is the expanded equivalent of cos(a – b)?
The expanded equivalent of cos(a – b) is cos(a)cos(b)+sin(a)sin(b).
Given that,
The equation is cos(a - b).We need to find the expanded equivalent of the above equation.Based on the above information, the calculation is as follows:
= cos (a - b)
= cos(a)cos(b)+sin(a)sin(b)
Therefore we can conclude that the expanded equivalent of cos(a – b) is cos(a)cos(b)+sin(a)sin(b).
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The equations y = -0.38x + 56.6 and y = 0.38x + 43.4 represent the percent of men and women, respectively, receiving bachelor's degrees, where x is the number of years since 1968. in approximately what year did the same percent of men and women receive bachelor's degrees?
Which equation best represents the line graphed above?
Does believing in god increases the probability that god does exist
KInda if you love him then he loves personally i dont believe in him but thats everyone decision
If the decay of 742 mg of an isotope is described by the function A(t)= 742e-0.03t, where t is time in years. Find the amount left after 84 years. Round your answer to the nearest mg.
Answer:
The amount left after 84 years is 59.70 mg.
Step-by-step explanation:
Given : If the decay of 742 mg of an isotope is described by the function [tex]A(t)= 742e^{-0.03t}[/tex], where t is time in years.
To find : The amount left after 84 years?
Solution :
The function of decay of 742 mg of an isotope is given by,
[tex]A(t)= 742e^{-0.03t}[/tex]
We have to find the amount left after 84 years.
i.e. put t=84 in the given function,
[tex]A(84)= 742e^{-0.03\times 84}[/tex]
[tex]A(84)= 742e^{-2.52}[/tex]
[tex]A(84)= 59.701[/tex]
Therefore, The amount left after 84 years is 59.70 mg.
To which graph does the point (8, −2) belong?
I brought 1 1/4 lbs of grapes. 2 1/2 lbs of cherries and 2lbs of bananas. How much total pounds of fruit did i buy?
What is the slope of a line that is perpendicular to the line that goes through (5,4) and (-2,-3)?
First, let us solve for the slope of the line which it intersects with:
m’ = (y2 – y1) / (x2 – x1)
m’ = (-3 – 4) / (-2 – 5)
m’ = 1
The slope of the perpendicular line is the negative reciprocal, therefore:
m = - 1 / m’
m = - 1 / 1
m = -1
So the slope of the line is -1.
Carly is 3 times her brother's age. The sun of their age is no more than 24 years.
brothers age = x
carly's age = 3x
3x +x <=24
4x<=24
x<=24/4 = 6
brothers age is x<=6
What's 4.50+4.50+2.39+2.39+1.99? What's the answer minus 25?? pls halp meh '-'
identify the like terms 3x,4y,4z,5x
A sealed rectangular box measuring 8 x 6 x 18 contains 864 sugar cubes, each measuring 1 x 1 x 1. How many sugar cubes are touching the box?
Final answer:
A total of 456 sugar cubes touching the box.
Explanation:
To calculate the number of sugar cubes touching the box, we must consider the cubes that lie along each face of the box without double-counting the cubes that touch corners and edges.
The box dimensions are 8 x 6 x 18 inches, and each sugar cube is 1 x 1 x 1 inch.
For the top and bottom faces (6 x 18), we have
6*18 = 108 sugar cubes touching the box on each face, totaling 216 for both the top and bottom.
For the front and back faces (8 x 18), since we must exclude the top and bottom rows, we have
(8-2) x (18-2) = 6 x 16 = 96 sugar cubes for one face and 192 for both.
For the sides (8 x 6), excluding the top and bottom rows again, we have
(8-2) x (6-2) = 6 x 4 = 24 sugar cubes on one side and 48 in total for the two sides.
Adding all these together, we get 216 (top and bottom) + 192 (front and back) + 48 (sides) = 456 sugar cubes touching the box.
Remember, this method assumes a single layer of sugar cubes is in direct contact with the inside surface of the box.
What is the numerator of the fraction equivalent to 25/135 that has a denominator of27
A measurement is given as the length of an onion cell is 0.4mm to the nearest tenth of a millimeter. Find the minimum & maximum possible measurements
Solve and justify each step
SHOW WORK
Solve: -4(n+5)>3n+8
¿A Sandra qué le gusta hacer los viernes?
A A Sandra le gusta comer papas fritas los viernes.
B A Sandra le gusta comer agua los viernes.
C A Sandra le gusta beber pizza los viernes.
D A Sandra le gusta beber galletas los viernes.
Let n be a nonzero integer. find a domain on which f (x) = (1 − xn)1/n coincides with its inverse. hint: the answer depends on whether n is even or odd.
I believe that the correct equation given is:
f(x) = (1-x^n)^(1/n)
From this, we can say that:
When n is an
odd number then f(x) is cubic root function. The domain is (-infinite,
+finite)
When n is an even number then f(x) is sqrt root
function. The domain is (0, +finite)
Triangle A′B′C′ is the image of triangle ABC after a dilation. What is the scale factor of the dilation?
Please help!
This graph shows the amount of rain that falls in a given amount of time.
What is the slope of the line and what does it mean in this situation?
Select from the drop-down menus to correctly complete each statement
The slope of the line is ___
This means that ___ mm of rain falls every ___
To find the slope, we use the formula for slope,
[tex]m=\frac{y_{2}-y_{2}} {x_{2}-x_{1}}[/tex]
Letting the point (2,5) be [tex](x_{1},y_{1})[/tex] and the point (4,10) be [tex](x_{2},y_{2})[/tex].
Now plugging in these values in the formula for slope, we get,
[tex]m=\frac{10-5}{4-2} =\frac{5}{2}[/tex]. The slope is [tex]\frac{5}{2}[/tex].
This basically means 5 mm of rain falls in every 2 hours, or 2.5 mm of rain falls every hour ([tex]\frac{5}{2} =2.5[/tex])
ANSWER: Slope is [tex]\frac{5}{2}[/tex] and 5 mm of rain falls every 2 hours.
Terry bought 2 1/2 dozen chocolate chip cookies. She paid $15 for her purchase. If there were 12 cookies in each dozen, what was the cost per cookie?
$0.17
$0.83
$1.25
$0.50
Antonio purchased adult and child tickets for the fair. Tickets cost $29.35 for each adult and $17.45 for each child. Let x represent the number of adult tickets purchased and y represent the number of child tickets purchased. Write an expression to represent the total cost of the tickets Antonio purchased.
$29.35y + $17.45x
$29.35x + $17.45y
($29.35 + $17.45)(x + y)
($29.35 - $17.45)(x + y)
what is the value for x (5x+15) (3x-3)
The value of x in the expression (5x+15) (3x-3) is 15x^2 + 30x - 45.
Explanation:The expression (5x+15) (3x-3) represents the multiplication of two binomials. To find the value of x, we can use the distributive property to simplify the expression:
Multiply the terms within the first set of parentheses: 5x * 3x = 15x^2.Multiply the terms within the second set of parentheses: 5x * -3 = -15x.Multiply the terms between the parentheses: 15 * 3x = 45x.Multiply the constant terms within the parentheses: 15 * -3 = -45.Putting it all together, we have 15x^2 - 15x + 45x - 45. Combining like terms, the expression simplifies to 15x^2 + 30x - 45.
So, the value for x in the given expression is 15x^2 + 30x - 45.
Solve for x.
7(x - 3) = 4(x + 5)
7(x-3) = 4(x+5)
distribute:
7x-21 = 4x+20
add 21 to both sides
7x = 4x +41
subtract 4x from both sides
3x = 41
divide both sides by 3
x = 41 /3 = 13.67 ( repeating 6's) so it can be 13 2/3 as a fraction
the answer is 13 2/3
find f(-5) if f(x) = ???????
f(x) = Ιx+1Ι
x = -5
Ι-5Ι = 5
so equation is 5+1
answer is 6
Jeffrey is planning to tile his bathroom. He is taking measurements before he goes to the hardware store to buy the tile. What is the best unit of measure for Jeffrey to use?
Answer:
i think the answer would be square feet
Step-by-step explanation:
Solve x + 9 = 18 - 2x
The solution to the equation x + 9 = 18 - 2x is x = 3.
What is the solution to the equation?Given the equation in the question:
x + 9 = 18 - 2x
To solve the equation x + 9 = 18 - 2x, first, collect and combine the x terms on one side of the equation and the constant terms on the other side:
x + 9 = 18 - 2x
Add 2x to both sides of the equation:
x + 2x + 9 = 18 - 2x + 2x
x + 2x + 9 = 18
3x + 9 = 18
Subtract 9 from both sides of the equation:
3x + 9 - 9 = 18 - 9
3x = 18 - 9
3x = 9
Isolate x by dividing both sides by 3:
x = 9/3
x = 3
Therefore, the value of x is 3.
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2x7+2 ?
What does x =
What is the smallest number greater than 100 that is :
a)divisible by two ?
b)divisible by ten?
c)divisible by four ?
The smallest number greater than 100 divisible by 2 is 102, divisible by ten is 110, divisible by four is 104.
What is Divisibility Test?It is an easy method of determining the divisibility of a number by a particular divisor, by just observing the number and not actually dividing it.
The number is 100
A smallest number greater than 100 has to be found which is divisible by 2.
All even numbers are divisible by 2, a number which has 0, 2, 4, 6, 8 at its ones position are divisible by 2.
The smallest number from 100 which is divisible by 2 is 102.
A smallest number greater than 100 has to be found which is divisible by 10.
A number is divisible by 10, if it has 0 at its ones position.
The number after 100 which has 0 at its ones position is 110.
A smallest number greater than 100 has to be found which is divisible by 4.
If last two digit of a number forms 00 or are divisible by 4, then the number is divisible by 4.
The smallest number from 100 which is divisible by 4 is 104.
To know more about Divisibility Rule
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