A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 40 cm/s. Find the rate at which the area within the circle is increasing after each of the following.
after 1 s = after 3 s = after 7 s =
What is 1 5/6 + 1/2 ?
a.
14/6
b.
17/12
c.
17/6
d.
25/12
In algebra, why do you think that you are given many problems to solve that aren't really "real life" problems? For example, "Twice the sum of a number and 5 is 24. Find the number." ...?
Algebra problems may not seem like 'real-life' problems, but they help build a deeper understanding of mathematical concepts.
Explanation:Often, in algebra, you are given problems that may not seem like 'real-life' problems because they are designed to emphasize understanding the underlying concepts rather than simply executing a mathematical recipe. These problems aim to build a more meaningful understanding of the content by focusing on what the numbers represent and how they relate to each other. For example, in the problem 'Twice the sum of a number and 5 is 24. Find the number,' you can practice solving by setting up an equation and using algebraic manipulation to find the number.
Is the number 53 a prime number or a composite number
Answer:
It's prime:)
Step-by-step explanation:
a culture contains 1500 bacteria initially and doubles every 30 mins. a) find a function that models the number of bacteria at time t. b) find the number of bacteria after 2 hours. c) after how much time will there be 4000 bacteria ...?
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different. Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations. graph of line going through ordered pairs (0, 300) and (450, 0)
Which expression is equivalent to 3(x + 4y)?
6x + 16y
3x + 12y
8x + 24y
x + 4y
HEELLLPPP ME?!?!?!? ANYONE?
Solve the system of equations and choose the correct ordered pair.
3x + 2y = 12
6x + 3y = 21
A. (4, 3)
B. (4, 0)
C. (2, 3)
D. (3, 2)
What is the definition of percent??
21 is 60 percent of what number
Solve the system of equations below by graphing them with a pencil and paper. Choose the correct ordered pair (b, u).
u = -b + 21
u = -2b + 30 ...?
Make a mapping diagram for the relation.
{(–2, 2), (–1, –4), (0, –3), (2, 5)}
The number of private investigators is expected to increase from 52,000 in 2006 to 61,000 in 2016. If there are 648,982 police officers in 2006, how many police officers must there be in 2016 to have a greater percent increase than that of private investigators?
To have a greater percent increase than private investigators between 2006 to 2016, there must be approximately 760,945 police officers in 2016. This is found by applying the formula for percentage increase and adjusting it to find the required final number.
Explanation:The percent increase of private investigators from 2006 to 2016 is found by subtracting the initial number from the final number, then dividing by the initial number and multiplying by 100%. This formula gives us (61000 - 52000) / 52000 * 100 = 17.3%, rounded to the nearest tenth of a percent.
To have a greater increase in police officers than that of private investigators, the percent increase must be more than 17.3%. To find the required number of police officers in 2016, we first express 17.3% as a decimal, which is 0.173. Then we use the formula for percentage increase, which is (final number - initial number) / initial number = percentage increase. By rearranging the formula, we get the required final number = (initial number * percentage increase) + initial number. Substituting the given figures, we have (648982 * 0.173) + 648982 = 760945, rounded to the nearest whole number.
Therefore, there must be approximately 760,945 police officers in 2016 to have a greater percent increase than that of the private investigators.
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solve for x
5(2x - 1) = 6
A)x=1/10
B)X=11/10
C)X=1/2
8) g(n) = 3n + 2
Perform the indicated operation
f (n) = 2n
2
+ 5
Find g( f (2))
equation for line parallel to 2x-3y+6=0, with the same y intercept
"Which ranges describe the cluster in the scatter plot?
Choose exactly two answers that are correct.
A.between 8 and 10 years of age
B.between 32 and 72 pages read
C.between 10 and 12 years of age
D.between 32 and 38 pages read"
Answer:
A and C
Step-by-step explanation:
A.between 8 and 10 years of age
C.between 10 and 12 years of age
which of the following is the sum of 3/18+2/18 reduced to lowest terms?
What is the value of X plez?
Jay earns $5.90 per hour working at the ice cream parlor after school. He needs at least $236 for a stereo system. Choose the inequality that describes how many hours Jay must work to buy the stereo system.
what is 0.6(r 0.2)=1.8
the solution to the equation [tex]\(0.6(r - 0.2) = 1.8\) is \(r \approx 3.2\).[/tex]
To solve the equation 0.6(r - 0.2) = 1.8, we first distribute the 0.6 to the terms inside the parentheses:
0.6r - 0.6(0.2) = 1.8
0.6r - 0.12 = 1.8
Next, we add 0.12 to both sides of the equation to isolate 0.6r:
0.6r - 0.12 + 0.12 = 1.8 + 0.12
0.6r = 1.92
Now, to solve for r, we divide both sides of the equation by 0.6:
[tex]\[ \frac{0.6r}{0.6} = \frac{1.92}{0.6} \][/tex]
[tex]\[ r = \frac{1.92}{0.6} \][/tex]
[tex]\[ r \approx 3.2 \][/tex]
So, the solution to the equation [tex]\(0.6(r - 0.2) = 1.8\) is \(r \approx 3.2\).[/tex]
The probable question maybe:
solve the equation 0.6(r - 0.2) = 1.8
What is 10 to the power of 3?
kenya picked 18 flowers from her garden. If 3/5 of flowers in her garden remain unpicked, how many flowers are still in her garden?
Which best describes the sides of any trapezoid?
A.
All sides are the same length.
B.
Only one pair of sides is parallel.
C.
Both pairs of opposite sides are parallel.
The answer is: only one pair of sides is parallel a.k.a b
write a polynomial function in standard form with zeros at -3,-1, and 1
Answer:
Should be f(x) = x^3 + 3x^2 − x − 3 because this is written in standard form.
Step-by-step explanation:
Select all that justify the following statement.
10 + x 12 = 12x + 10
a) commutative - addition
b) distributive
c) associative - multiplication
d) symmetric
e) commutative - multiplication
f) associative - addition
g) identity - addition
Answer:
The statement satisfied the expression 10 + x 12 = 12x + 10 is
Option (e) i.e commutative - multiplication and Option (a) i.e commutative - addition .
Step-by-step explanation:
Commutative Property
Let a, b be two numbers thus they satisfied the commutative property
i.e a + b = b + a
As given the expression.
10 + x ×12 = 12x + 10
First apply the Option (e) i.e Commutative - multiplication.
Thus expression becomes
10 + 12x = 12x + 10
Now apply the Option (a) i.e Commutative - addition.
Therefore the statement satisfied the expression 10 + x 12 = 12x + 10 is
Option (e) i.e commutative - multiplication and Option (a) i.e commutative - addition .
Help! Need help!
1. Justin is considering two websites for downloading music.The costs are detailed here.
Website 1: a yearly fee of $30 and $1.50 for each download
Website 2: $2 for each download
What is a system of equations to represent the costs for one year?
Express your equations in the form of y=mx+by=mx+b where x is the number of downloads for the year and y is the total cost for the year.
Website 1:
Website 2:
2. Is the system of equations is consistent, consistent and coincident, or inconsistent?
y=4x−4y=−4x+4
a. consistent b. consistent and coincident c. inconsistent
change 50/16 into a mixed number .Reduce your answer to lowest terms a.48 3/16
b.3 1/25
c.3 1/8
d.4 7/8 ? ...?
A submarine's elevation changes -657 feet over a period of 6 minutes. If the submarine descended at a constant rate, what is the approximate elevation change per minute?
-130 feet
-90 feet
-120 feet
-110 feet
The approximate elevation change per minute for the submarine is -109.5 feet.
Explanation:To find the approximate elevation change per minute, we need to divide the total elevation change by the total time taken. The submarine's elevation changes by -657 feet over a period of 6 minutes. So, we divide -657 by 6 to get the approximate elevation change per minute.
-657 / 6 = -109.5 feet
Therefore, the approximate elevation change per minute is approximately -109.5 feet.
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a country's population in 1995 was 56 million in 2002 it was 59 million. estimate the population in 2016
Answer:
69 420 911
Step-by-step explanation: