To find the previous population, we need to determine the population before the 27% decrease. Here's how we can calculate it:
Let's assume the previous population is P.
According to the problem, the current population is 7300, which represents 100% - 27% of the previous population:
(100% - 27%) * P = 7300
To simplify the equation, convert 27% to decimal form:
(100% - 0.27) * P = 7300
Simplifying further:
0.73P = 7300
Divide both sides of the equation by 0.73:
P = 7300 / 0.73
P ≈ 10000
Therefore, the previous population was approximately 10,000.
~~~Harsha~~~
If five students are playing a game and each student is equally likely to win the game, what is the probability that students will win?A) 1/2B) 1/3C) 1/4D) 1/5
Step 1
\(\text{Probability of any event = }\frac{Number\text{ of required outcomes}}{Number\text{ of possible outcomes}}\)Step 2
Number of possible outcomes = 5
Number of required outcomes (Win) = 1
Step 3:
Probability that students will win
What the cubic inches…
Step-by-step explanation:
The radius r is 5 in (r = D/2). so the volume V of the beach ball is
\(V= \dfrac{4 \pi}{3}r^3 = \dfrac{4 \pi}{3}(5\:\text{in})^3\)
\(\:\:\:\:\:= 523.6\:\text{in}^3\)
a man buys an article for $600 and sells it for $710/ what is the profit or loss
Answer:
110$ (profit)Step-by-step explanation:
a man buys an article for $600 and sells it for $710/ what is the profit or loss?
a financial gain, especially the difference between the amount earned and the amount spent in buying, operating, or producing something.
so
710 - 600 = 110$ (profit)
Answer:
Profit of 110
Step-by-step explanation:
As he sells it at a higher price, he makes a profit.
Find x and y value . y-2 , 17 ,x+3 ,38
Answer:x=10.5
y=12.5
Step-by-step explanation:
d=17-y+2
d=x+3-17
d=38-x-3
35-x=x-14
x=10.5
z,17,27.5,38
z=17-10.5=6.5
19-y=6.5
y=12.5
The point (8, −15) was reflected over an axis to (−8, −15). Which axis was it reflected over? Explain.
Answer: it is reflected by y-axis
Step-by-step explanation: as we know when point (x,y) reflected by y axis the value of y remains the same and the sign of x will be changed since the image is rotated horizontaly
Answer:
y-axis
Step-by-step explanation:
When a point is reflected over the y-axis, the x-coordinate of the point becomes the additive inverse of the original number.
Here, (8, -15) became (-8, -15). The only change in value of the coordinates is the value of the x-coordinate, 8, which became its additive inverse, -8.
Answer: y-axis
Answer: it is reflected by y-axis
Step-by-step explanation: as we know when point (x,y) reflected by y axis the value of y remains the same and the sign of x will be changed since the image is rotated horizontaly
Answer:
y-axis
Step-by-step explanation:
When a point is reflected over the y-axis, the x-coordinate of the point becomes the additive inverse of the original number.
Here, (8, -15) became (-8, -15). The only change in value of the coordinates is the value of the x-coordinate, 8, which became its additive inverse, -8.
Answer: y-axis
NO LINKS!!! Part 2:
\(y = \sqrt{x} \)
Shape:
Domain:
Range:
Given:
A square toot function y = √x--------------------------------------------------------------------
Shape: half of a parabola
Domain: Non- negative numbers x∈ [0, +∞)
Range: Non- negative numbers y∈ [0, +∞)
Without multiplying, how can you tell which product will be greater, 3 x 4 or 6 x 2?
Answer:
we can compare 4 x 3 and 2 x 6, equal to 12. So, we can see that both products are similar and neither is greater.
Step-by-step explanation:
We can use the commutative property of multiplication to see that 3 x 4 is the same as 4 x 3 and 6 x 2 is the same as 2 x 6. When multiplying two numbers, the order of the numbers does not affect the product. Therefore, we can compare 4 x 3 and 2 x 6, equal to 12. So, we can see that both products are similar and neither is greater.
NEED MORE EXPLANATION?
The commutative property of multiplication states that when multiplying two numbers, the order of the numbers does not affect the product. This means that 3 x 4 is the same as 4 x 3, and 6 x 2 is the same as 2 x 6. We can use this property to compare 4 x 3 and 2 x 6, equal to 12. Therefore, we can see that both products are identical and neither is greater.
Ryan is 93 years younger than Stacy.9 years ago , Stacy's age was 4 times Ryan's age. How old is Ryan now.
Answer:
40 years old
Step-by-step explanation:
Define the variables:
Let r be Ryan's age (in years).Let s be Stacy's age (in years).Given Ryan is 93 years younger than Stacy:
⇒ r = s - 93
Given 9 years ago, Stacy's age was 4 times Ryan's age:
⇒ 4(r - 9) = (s - 9)
Substitute the first equation into the second equation and solve for s:
⇒ 4(s - 93 - 9) = (s - 9)
⇒ 4(s - 102) = s - 9
⇒ 4s - 408 = s - 9
⇒ 3s = 399
⇒ s = 133
Substitute the found value of s into the second equation and solve for r:
⇒ r = 133 - 93
⇒ r = 40
Therefore, Ryan is 40 years old now.
What change do you have to make to the graph of f (x) = 7x in order to graph the function g (x) = 7x+10?
To graph the function g(x) = 7x + 10, we shift the graph of f(x) = 7x vertically by adding a constant term of +10. This means every y-coordinate on the graph increases by 10 units. The slope of the line remains the same at 7. The resulting graph is a straight line passing through (0, 10) with a slope of 7.
To graph the function g(x) = 7x + 10, you need to make the following change to the graph of f(x) = 7x:
1. Translation: The graph of f(x) = 7x can be shifted vertically by adding a constant term to the equation. In this case, the constant term is +10.
Here's how you can do it step by step:
1. Start with the graph of f(x) = 7x, which is a straight line passing through the origin (0,0) with a slope of 7.
2. To shift the graph vertically, add the constant term +10 to the equation. Now, the equation becomes g(x) = 7x + 10.
3. The constant term of +10 means that every y-coordinate of the points on the graph will increase by 10 units. For example, the point (0,0) on the original graph will shift to (0,10) on the new graph.
4. Similarly, if you take any other point on the original graph, such as (1,7), the corresponding point on the new graph will be (1,17) since you add 10 to the y-coordinate.
5. Keep in mind that the slope of the line remains the same, as only the y-values are affected. So, the new graph will still have a slope of 7.
By making this change, you will have successfully graphed the function g(x) = 7x + 10.
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with regard to promoting standards of excellence, lafasto and larson (2001) identified three rs that help improve performance: require results, review results, and ______.
With regard to promoting standards of excellence, Lafasto and Larson (2001) identified three Rs that help improve performance:
require results, review results, and Reward Results.What did the Larson and LaFasto 1989 study capture?
The LaFasto and Larson Model investigated team effectiveness. It is founded on the premise that, while individuals might be highly competent and talented, teams solve the most challenging issues.
It doesn't matter how skilled an individual is if they can't operate as part of a team.
They studied the traits of 75 highly successful teams. They discovered that high standards of excellence were a critical component in team performance.
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2.46 -4.9 GIVIG BRAINLYEST
Answer:
the answer is -2.44
Please help
20 POINTS!
What function translates the function f(x)= |x| to the right 2 units and up 10 units?
Answer:
f(x) = |x-2| + 10
Step-by-step explanation:
Find the perimeter of the figure
Answer:
51 miles
Step-by-step explanation:
perimeter is distance around the outside of figure.
there are three sides with 17 mi. That means the perimeter is 51 miles
6 let A= (1,4,9,16) and B=(2,3,5,7). Find AS
Prove that A-B=( )
zip file, and phrase, angle of applicable. where are u doing now I need to make a sentence, but it was not the same time for changing the full range. uses the nation, angle and phrase, angle. uses a
3456.8 round the number below to the nearest whole number one place
Answer:
I do not understand this question
there are 16 sixth graders, 11 seventh graders, and 9 eighth graders in a gym class. the gym teacher randomly selects one student to collect balls how many ways can choosing not a seventh grader occur
Answer:
34 total students.
25 are not 7th graders
27/35
Write the standard form of the line that contains a slope of 12 and y-intercept of 3. Include your work in your final answer.
Answer:
y = 12x+3
Step-by-step explanation:
y = mx+c
m is the gradient/slope
c is the y intercept
so m is 12 and c is 3
Which table shows a proportional relationship between x and y?
Answer:
top table. Choice A
Step-by-step explanation:
Question 5
The top table that we can see shows the relationship of y = 2x. The y intercept is 0. The three points all obey the relationship of x is multiplied by two to get y.
hi I'm really in 5y
the grade elementary and the question is four fiths of a spinach casserole is leftover after Sam has lunch Jackie and Alicia each take 1/2 of the left over casserole jack eats only 2/3 of her portion what fraction of a whole casserole did jackie eat express our answer as a simplified fraction
Answer:
0.6
Step-by-step explanation:
2/5 divided by 2/3
use reciprocal method
and make it 2/5*3/2
6/10
what is 40% of 80 please hellppppppppp
Answer:
32
Step-by-step explanation:
What is the height of a sphere of radius 6 inches?
Answer:
12 inches.
Step-by-step explanation:
The height of a sphere = the length of its diameter.
Diameter = 2 * radius = 12 ins.
Points A (4, 3), B (6, 4), C (5, 6) and D (3, 5) are the vertices of a square ABCD. The square ABCD is reflected about the line through (0, 0) and (-2, 2). Find the vertices of the image of the square ABCD and present both the figures on the same graph.
The vertices of the reflected square.
Let's calculate them:
A' = (-0.914, 3.914)
B' = (-2.828, 5.828)
C' = (-0.086, 7.086)
D' = (1.828, 5.172)
The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:
Find the equation of the reflection line:
The reflection line passes through (0, 0) and (-2, 2).
We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):
m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.
Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:
y - 0 = -1(x - 0)
y = -x.
Find the midpoint of each side of the square:
The midpoints of the sides of a square are also the midpoints of its diagonals.
The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).
The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).
The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).
The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).
Reflect the midpoints about the line:
To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.
The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:
d = (y + x) / √(2).
The coordinates of the reflected points can be found using the formula for reflection across a line:
x' = x - 2d / √(2)
y' = y - 2d / √(2).
Calculate the reflected vertices:
The coordinates of the reflected vertices are as follows:
A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))
B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))
C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))
D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))
Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.
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Let f be a differentiable function with f(−4) = −2, ƒ'(−4) = 6,
f(-5) = −4, and f'(-5) = 1. Let the function g(x) = ƒ(2x + 3). Write the
equation of the line tangent to the graph of g at the point where x = −4.
Therefore , the solution of the given problem of function comes out to be g(x) = ƒ(2x + 3) = f'(-5) = 1.
What is function ?Mathematics includes the study of numbers, various variations, the natural reality, architecture, and both actual and hypothetical locations. A function is a visual representation of the relationship variable between the number of inputs and the corresponding outputs for each. Simply explained, a function is a collection of inputs that, whenever combined, result in a different output by each input. Every function is assigned a city, county, or scope, sometimes known as a domain. The letter f is frequently used to denote functions (x).
Here,
Given :
=> f(−4) = −2
=> ƒ'(−4) = 6
=> f(-5) = −4
=> f'(-5) = 1
To find :
=> g(x) = ƒ(2x + 3)
=> g(4) = f(2(-4) + 3)
=> g(4) = f(-5)
=> f(-5) = -4
=> f'(-5) = 1
Therefore , the solution of the given problem of function comes out to be g(x) = ƒ(2x + 3) = f'(-5) = 1.
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Shawn wants to paint all the surfaces of the table shown below.
A. the volume of 3 rectangular prisms
B. the surface area of 1 triangle and 4 cylinders
C. the volume of 1 rectangular prism and 3 cylinders
D. the surface area of 2 triangles and 1 rectangular prism
What's the answer? How do I solve for this?!
the answer is D
The figure can be divided into a rectangle and 2 triangles
Did Will and Hector volunteer the same number of hours in April? Explain.
Answer:
no
Step-by-step explanation:
Picture below thanks will mark brainlist
Answer:ty
Step-by-step explanation:
You deposit $5000 in an account earning 3% interest compounded continuously. How much will you have in the account in 5 years?
Answer:
$5809.17
Step-by-step explanation:
Using the formula for continuous compound interest \(P(t)=Pe^{rt}\) We can plug in our values \(P(t)=5000e^{0.03*5}\) and solve.
help me please
thank you
Answer:
Domain: [-6, 2]
Range: [-4, 0]
Function: Yes
Step-by-step explanation:
The domain is the set of x-values and the range is the set of y-values.
A relation is a function if each x value corresponds to only one y-value.
PLEASE HELP ON QUESTION ASAP !
Hi please help on question.If you get answer correct is be willing to give brainliest,a thanks, five stars and 10pts.
My question:
As an analogy of a circuit with resistance, think of an obstacle race . Which parts of a circuit do the obstacles represent? which part of the circuit do the people respresent?
The electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.
In the analogy of a circuit with resistance, we can compare it to an obstacle race. Here's how we can relate the different elements:
Circuit: The entire obstacle race course represents the circuit itself. It includes all the components and paths that the participants will go through.
Obstacles: The obstacles in the race represent the resistors in the circuit. Just like resistors impede the flow of electrical current in a circuit, obstacles in the race impede the progress of the participants.
People/Participants: The people participating in the race represent the flow of electric current in the circuit. They are the "charge" moving through the circuit, encountering and overcoming obstacles (resistors) to reach the finish line.
The goal of the participants (people) is to navigate through the obstacles (resistors) and complete the race (circuit) by reaching the finish line.
Similarly, in an electrical circuit, the goal is for the electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.
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Which of the following shows 4x+23+7x-12+y in simplest terms
Answer:
11x+25+y
Step-by-step explanation:
If you simplify, you get...
(4+7)x+(23+12)+y
11x+25+y
Hope I helped!