A rental car service charges $25 to rent a car, plus $2 per mile. If x represents the number of miles driven, then the expression for the total cost to rent the car is 2x + 25. Which table shows the total cost to rent a car?
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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
To which graph does the point (8, −2) belong?
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.
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 and justify each step
SHOW WORK
Solve: -4(n+5)>3n+8
What's 4.50+4.50+2.39+2.39+1.99? What's the answer minus 25?? pls halp meh '-'
Write an equation of the line in slope-intercept form of the line that passes through the point (-5, 1) and is parallel to the line x – 5y = 8. show your work.
If the product of two numbers is positive then the two numbers must both be positive true or false
What is the product of 3x(x^2+4)
Answer:
[tex]3x^3+12x[/tex]
Step-by-step explanation:
[tex]3x(x^2+4) = 3x\cdot x^2 + 3x\cdot 4 = 3x^3+12x[/tex]
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
Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating.
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?
Which equation best represents the line graphed above?
2x7+2 ?
What does x =
Which of the following lines goes downwards from left to right?
A. Y=2x+5 b. Y=2x-6
C. Y=2x d. Y=-2x+20
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.
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
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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A rectangle that has an area of 357 square inches is 17 inches wide. Using the formula for area (4072-01-01-03-00_files/i0260000.jpg), how long is the rectangle? a. 21 inches b. 340 inches c. 20 inches d. 15 inches
Answer:
The correct option is: a. 21 inches
Step-by-step explanation:
The area of the rectangle is 357 square inches and width is 17 inches.
Formula for the area of rectangle is: [tex]Area= Length\times Width[/tex]
Suppose, the length of the rectangle [tex]=x[/tex] inches.
So, the equation will be.....
[tex]357=x\times 17\\ \\ \frac{357}{17}=\frac{x\times 17}{17}\ [Dividing\ both\ sides\ by\ 17]\\ \\ 21=x[/tex]
So, the rectangle is 21 inches long.
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.
find f(-5) if f(x) = ???????
f(x) = Ιx+1Ι
x = -5
Ι-5Ι = 5
so equation is 5+1
answer is 6
Compare the two ratios by entering >, < , or = in the box. 18 320
Answer:
1/8 is greated than 3/20
Step-by-step explanation:i took test
What plane contains points D, G, and H?
a. The plane that passes at a slant through the figure.
b. The plane on the bottom of the figure.
c. The plane on the top of the figure.
d. The plane on the front of the figure.
Lyle shot three times as many baskets as cliff, while kyle shot 12 more baskets than cliff. if lyle and kyle shot the same number of baskets, how many baskets did each of them shoot?
Cliff shot 6 baskets, Lyle shot 18 baskets, and Kyle also shot 18 baskets.
Explanation:Let's represent the number of baskets Cliff shot as C.
Lyle shot three times as many baskets as Cliff, so Lyle shot 3C baskets.
Kyle shot 12 more baskets than Cliff, so Kyle shot C + 12 baskets.
Since Lyle and Kyle shot the same number of baskets, we can set their expressions equal to each other: 3C = C + 12.
Solving this equation, we find that C = 6.
Therefore, Cliff shot 6 baskets, Lyle shot 3C = 3(6) = 18 baskets, and Kyle shot C + 12 = 6 + 12 = 18 baskets.
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How much is 1200 pounds of corn plus 25% more?
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?
WILL MARK BRAINLIEST ANSWER THIS QUESTION K
You randomly select 7 students from a class with 15 male and 20 female students. what is the probability that you will choose exactly 4 females?
To find the probability of selecting exactly 4 females out of 7 students, we need to use the hypergeometric distribution.
Explanation:To determine the probability of selecting exactly 4 females out of 7 students, we need to use the hypergeometric distribution. In this scenario, we have a population of 35 students (15 males + 20 females) and we want to select a sample of 7 students. The group of interest is the females, which consist of 20 students. Since we are selecting without replacement, we need to use the hypergeometric distribution formula:
P(X = k) = (C(K, k) * C(N-K, n-k)) / C(N, n)
where:
N = total population sizen = sample sizeK = number of successes in the populationk = number of successes in the samplePlugging in the values, we get:
P(X = 4) = (C(20, 4) * C(15, 7-4)) / C(35, 7)
Calculating the combinations, we find that P(X = 4) = 0.416
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