The rate at which the distance from the observer to the car is increasing is 25 m/s, both when the car passes in front of the observer and 10 seconds later.
Explanation:To find the rate at which the distance from the observer to the car is increasing, we need to use the concept of relative velocity. When the car passes in front of the observer, its velocity is perpendicular to the line connecting the observer and the car. Therefore, the rate at which the distance is increasing is equal to the speed of the car. In this case, the rate is 25 m/s.
To find how fast the distance is increasing 10 seconds later, we need to consider the fact that the car is still moving at a constant velocity of 25 m/s. Therefore, the rate at which the distance is increasing remains the same. So, the rate is still 25 m/s.
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Carly sold 18 rolls of wrapping paper. that is 2 time as many as may rolls as Jasmine sold.
If the average of 12 consecutive odd integers is 328, what is the least of these integers
Need help solving this :/
how is adding integers similar to adding whole numbers? how is it different
Molly's Custom Kitchen Supplies sells handmade forks and spoons. It costs the store $1.70 to buy the supplies to make a fork and $1.30 to buy the supplies to make a spoon. The store sells forks for $5.60 and spoons for $5.40. Last April Molly's Custom Kitchen Supplies spent $37.90 on materials for forks and spoons. They sold the finished products for a total of $147.20. How many forks and how many spoons did they make last April?
What is a point estimate of the difference between the mean annual premium in pennsylvania and the national mean (to the nearest dollar)?
A point estimate is a single value used to estimate an unknown parameter. The point estimate of the difference between the mean annual premium in Pennsylvania and the national mean can be calculated by taking the difference between the two means.
Explanation:A point estimate is a single value that is used to estimate an unknown parameter of a population. In this case, the point estimate of the difference between the mean annual premium in Pennsylvania and the national mean can be calculated by taking the difference between the two means. Let's say the mean annual premium in Pennsylvania is $1000 and the national mean is $1500. The point estimate of the difference would be $1500 - $1000 = $500.
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Evaluate the integral. (remember to use absolute values where appropriate. use c for the constant of integration.) 2 (t + 2)(t − 6) dt
Find two positive numbers whose product is 81 and whose sum is a minimum. (if both values are the same number, enter it into both blanks.)
Answer:
The two positive numbers whose product is 81 and whose sum is a minimum are 9 and 9.
Step-by-step explanation:
81 is divisible by 1 and 81, since 81/1 = 81 and 81/81 = 1.
81 is divisible by 3 and 27, since 81/3 = 27 and 81/27 = 3.
81 is divisible by 9, since 81/9 = 9.
Their sums are.
81 + 1 = 82.
3 + 27 = 30
9 + 9 = 18.
So the two positive numbers whose product is 81 and whose sum is a minimum are 9 and 9.
Answer:
The two positive numbers will be 9 and 9.
Step-by-step explanation:
Let the two positive numbers be x and y.
It is given that the product of the number is 81 the sum of them is minimum.
So, the product can be written as [tex]xy=81[/tex].
The sum can be written as [tex]x+y=x+\dfrac{81}{x}[/tex]. It is required to minimize the sum.
Differentiate the sum as,
[tex]x+y=x+\dfrac{81}{x}\\1+y'=1-\dfrac{81}{x^2}=0\\x^2=81\\x=9\\y=\dfrac{81}{x}\\y=9[/tex]
Now, the second derivative of the sum will be,
[tex]y''=2\times \dfrac{81}{x^3}>0[/tex]
So, the second derivative is positive and hence, the sum will be minimum at x=9.
Therefore, the two positive numbers will be 9 and 9.
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A company manufactures photo cells it uses the expression
Create a table of data for two different linear functions. The table should use the same values of x for both functions. Based on your table, will the graphs of these two functions intersect? Explain your answer. 40 POINTS
Hello Brainly,
Please send the details for the area of each shape.
Sincerely,
Leanoriaia
Ms.Smith has 132 stickers to give to her students.Shehas 5 students.If she gives the same number of stickers to each of her students how many stickers will she have leftover
How to divide 715÷25 using partial quotient
What is the answer to the distributative operation of 85 divided by 5
A microwave is placed on top of two boxes. One box is 2 feet 5 inches tall the other box is 3 feet 11 inches tall and the microwave is 3 feet 3 inches tall. How tall are they combined ?
Marlene is a tennis player who has win 55% of her matches. What istje probability that she will lose her next tennis match
Answer:
45% probability that Marlene will lose her next tennis match.
Step-by-step explanation:
For each match that Marlene plays, there is a 55% probability that she wins and a 45% probability that she loses.
These probabilities for each match are independent.
So there is a 45% probability that Marlene will lose her next tennis match.
Which expression is equivalent to 6 – (–8)?
The expression 6 – (–8) will be equivalent to 14.
What is an expression?An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.
In other meaning, expression is very useful to determine the end or root value of constraint.
For example 3x +5y
The constraint of expression is represented as = or <, >.
Given the expression,
6 – (–8)
By multiplication,
Negative signs become positive
6 – (–8) = 6 + 8 = 14
Hence "The expression 6 – (–8) will be equivalent to 14.".
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15 points and will mark brainliest
solve this system of linear equations. separate the x- and y- values with a coma. -9x=5-2y
15x=-11+2y
There is a positive correlation between the number of times the Striped Ground Cricket chirps per second and the temperature in degrees Fahrenheit. If a scatter plot is made with the number of chirps on the horizontal axis and the trend line is found to be y = 3x + 25, then what would you predict the number of chirps per second to be when the temperature is 55 degrees Fahrenheit?
Answer:
As per the statement:
If a scatter plot is made with the number of chirps on the horizontal axis and
the trend line is given by:
[tex]y = 3x+25[/tex] ....[1]
where,
y represents the temperature in degrees Fahrenheit
x represents the number of chirps per second.
We have to find the number of chirps per second to be when the temperature is 55 degrees Fahrenheit.
Substitute y = 55 degree Fahrenheit in [1] we have;
[tex]55 = 3x+25[/tex]
Subtract 25 from both sides we have;
[tex]30= 3x[/tex]
Divide both sides by 3 we have;
10 = x
or
x = 10
Therefore, the number of chirps per second to be when the temperature is 55 degrees Fahrenheit is, 10
3(2x+4)-7=-2(x-5)+3x what does x equal? A.1 B.-1 C.-5 D.5
The environment club is selling indoor herbs gardens for Earth Day. Each member is encouraged to sell at least 10 gardens. You sell 3 on Monday and 4 on Tuesday. Write and solve an inequality to find the possible number of gardens you can sell to reach your goal.
if (-4,5) is the only solution to a system of two linear equations, then the graphical solution would show:
The graphical solution to a system of two linear equations with the point (-4,5) as the only solution will show two lines intersecting at this point on a two-dimensional graph.
Explanation:If the point (-4,5) is the only solution to a system of two linear equations, this means that the two lines represented by these equations intersect at this point. On a Two-Dimensional (x-y) Graphing system, this point would be plotted on the graph where the x-coordinate is -4 and the y-coordinate is 5.
These two equations when plotted as lines in a two-dimensional space (with x as the independent variable and y as the dependent variable) will intersect at this point (-4,5). If you draw a line from the origin to the point (-4,5), it will intersect the two lines at this point. This is how the graphical solution would look like.
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The second angle of a triangular kite is four times as large as the first. The third angle is 45 degrees more than the sum of the other two angels. Find the measurement of the second angle.
Solve 8d + 4d – 5d – 4 = 3d.
2x + y = -2
x + y = 5
The x-coordinate of the solution to the system shown is _____.
-7
-3
3
7
Answer:
-7
Step-by-step explanation:
expand and simplify: 5(x-3)+2(2x+1)
Lisa drew a picture of a boat. She used the scale 1 inch: 6.5 feet the boat in her picture is 7:25 inches long. What is the length, in feet of the actual boat?
If 3 tons of flower bed mulch cost $480, what is the price per pound?
The question asked what is 1/4 % of 2000
Raffle tickets are being sold for a fundraiser. The function a(n) relates the amount of money raised to the number of tickets sold, n.
It takes as input the number of tickets sold and returns as output the amount of money raised.
a(n) = 3n – 15
Which equation represents the inverse function n(a), which takes the money raised as input and returns the number of tickets sold as output?
Answer:
For apex it is N(a)= [tex]\frac{a+15}{3}[/tex]
To find the inverse function, solve the equation a = 3n - 15 for n. The inverse function is n(a) = (a + 15) / 3.
Explanation:To find the inverse function, we need to solve the equation n(a) = 3n - 15 for n.
Step 1: Replace n(a) with a: a = 3n - 15
Step 2: Solve for n.
Add 15 to both sides of the equation.a + 15 = 3nDivide both sides of the equation by 3.(a + 15) / 3 = nTherefore, the inverse function is n(a) = (a + 15) / 3.