The inequality used to determine the domain of the function is greater than equal to and the domain is [10, ∞).
What is domain and range?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. The values in this set
Hence, once we input an x value, the function returns. The y values are those.
The given expression is:
[tex]\sqrt{x- 10} + 3\\[/tex]
The value in the square root must be greater than or equal to 0 to ensure that the number is real.
[tex]\sqrt{x - 10} \geq 0[/tex]
Taking squares on both sides of the equation:
x - 10 ≥ 0
x ≥ 10
The domain of the given inequality is [10 , ∞).
Hence, the inequality used to determine the domain of the function is greater than equal to and the domain is [10, ∞).
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In 1995, there were 85 rabbits in Central Park. The population increased by 8.5% each year. How much rabbits were in Central Park in 2005
==============================================
Work Shown:
A = P*(1+r)^t
A = 85*(1+0.085)^10
A = 192.183592562981
A = 192
-----------
Notes:
P = 85 is the starting population.r = 0.085 is the decimal form of 8.5%, so we can say 8.5% = (8.5)/100 = 0.085t = 10 years have elapsed from 1995 to 2005.The formula shown above helps with exponential growth and decay problems.The rabbit population in Central Park in 2005 is 192 rabbits.
To find the rabbit population in Central Park in 2005, we need to calculate the growth from 1995 to 2005.
From 1995 to 2005, there is a total of 10 years.
Using the growth rate of 8.5% per year, we can calculate the population in 2005:
Population in 2005 = 85 rabbits(1 + 0.085)¹⁰
Calculating this expression:
Population in 2005 = 85 rabbits(1.085)¹⁰
= 85 rabbits × 2.2609
= 192 rabbits
Therefore, the estimated rabbit population in Central Park in 2005 is 192 rabbits.
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Omg pls help in my math. It is 6th grade
Answer:
1. You have to shade 38/100 squares
2. You have to shade 65/100 squares
3. 3/5=15/25, 6/10, 9/15
PLS PLS PLS THIS IS VOCAB FOR MATH ONLY HAVE UNTILL 7:30 TO DO SEVERAL ASSIGHNMENTS1. a number belonging to the set made up of the counting numbers: 1, 2, 3, and so on
2. a number that is greater than zero
3. a line that graphically represents all numbers
4. a pair of numbers whose sum is zero
5. any number belonging to the set of counting number, or zero
6. a number that is less than zero
7. a number belonging to the set made up of the whole numbers and their opposites
8. two numbers that are the same distance from zero on the number line but in opposite directions
Answer:
1. natural numbers
2. positive
3. number line
4. zero pair
5. whole number
6. negative
7. integer
8. opposite
Step-by-step explanation:
This is my guess. Take it with a grain of salt. Have a great day!
Answer:
2. positive integers
3. number line
4. I don't know
5. whole number
6. negative integer
7. integers
8. absolute value???
two adjacent angles of a rhombus as in the ratio 2:3. Eind all the a angles of the rombus
Answer:
Let the adjacent angles of the rhombus be 2x and 3x. We know that the sum of the measures of the adjacent angles is equal to 180°. AD = DC = 3 × 36° = 108°. Hence , the angles of the rhombus are 72° , 108° , 72° and 108°.
Step-by-step explanation:
Answer:
Let the adjacent angles of the rhombus be 2x and 3x.
we know that the sum of the measures of the adjacent angles is equal to 180°.
2x+3x=180
=5x=180
=x=180/5
=x=36°
Hence,AB =BC=2×36°=72°
AD=DC=3×36°=108°
Hence,The angles of the rhombus are 72°,108°, 72°and108°.
I hope it's helpful!
jane spend $42 for her for shoes this was $14 less than twice what she spent for a blouse how much was the blouse
I need help with this assignment please help me
Answer:
Step-by-step explanation:
a. 7*7*7= 7 cubed(when we divide powers we subtract them)
If m+6 divided by 2 is 4 less than 4m. What is the value of m?
Answer:
Ok
Step-by-step explanation:
please help me solve this problem
Step-by-step explanation:
it seems the answer is four (option a)
1)y=4
2)y=4x
3)y=4x+4
4)x=4
Answer:
I think number letter shape 14
Answer:
I am pretty sure that the answer is y=4x
Plsss help me ASAP plss
Answer: x gte -6 if not try -6 lte x
Step-by-step explanation:
2x - 5y = - 15
I need to rewrite it in the terms of “y” an I need the steps on how to do it thanks
Answer:
2x+15=5y
y=(2x+15)/5
hope this helps
Answer:
[tex]y = \frac{2}{5} x + 3[/tex]
Step-by-step explanation:
2x - 5y = -15
Firstly, you will need to isolate the variable you are solving for, in this case, y.
2x - 2x - 5y = -15 - 2x
-5y = -15 - 2x
-5y/-5 = -15/-5 - 2x/-5
A negative divided or multiplied by a negative is positive.
[tex]y = 3 + \frac{2}{5} x[/tex]
Rearrange.
[tex]y = \frac{2}{5} x +3[/tex]
Jasmine had some candy to give to her three children. She first took four pieces for herself and then evenly divided the rest among her children. Each child received two pieces. With how many pieces did she start?
Answer:
10 pieces
Step-by-step explanation:
She gave herself 4 pieces, and each child 2 pieces. If she has 3 children, she gave them 6 pieces.
(3*2=6) and then you add with the amount she gave herself, (6+4) that would be 10. She started with 10 pieces.
An equation would be:
x= 4+(2*3)
I hope this helps!
(Also this equation seems a bit easy, am I reading it wrong? If I am be sure to correct me :) )
The points represented by the table lie on a line. Find the slope of the line.
Step-by-step explanation:
11. step 1. m = (4 - 7)/(-3 - (-5))
step 2. m = -3/2.
A store wants to mark up
their prices by 12%.
What would the markup
be on a $40 lamp?
What is the final price?
And how did you solve it
Answer:Plus, calculate your profit margins, total revenue and more with FreshBooks ... Whether you sell online or in a retail store, you can set the perfect price for each ... service sold, you want to charge a price that's a percentage above how much it costs ... If Product A costs $10, the marked-up selling price would be $15 ( $10 x .50 ...
Step-by-step explanation:
Plus, calculate your profit margins, total revenue and more with FreshBooks ... Whether you sell online or in a retail store, you can set the perfect price for each ... service sold, you want to charge a price that's a percentage above how much it costs ... If Product A costs $10, the marked-up selling price would be $15 ( $10 x .50 ...
Answer:
$44.80
Step-by-step explanation:
Here' s an equation to help you with percent problems: part %
------- = -----
whole 100
Because you want to find 12%, the % in the equation would be replaced with 12. The part would be x because that's what u need to find. The whole would be 40. Cross multiply to get 100x = 480. Divide 480 by 100 to get x = 4.80. Add 4.80 to 40.00 to get the final price. The final price is $44.80.
To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing
A. calculator, but he could only see one line. Why is this?
B. because the system of equations actually has only one solution
C. because the system of equations actually has no solution
D. because the graphs of the two equations overlap each other
because the graph of one of the equations does not exist
pls help soon reward brainiest
Answer:
x=-6
Step-by-step explanation:
answer choices:90ft square inches, 45ft square inches, 80ft square inches
Answer:
CAUSE I FEEL THE BREK FEEL THE BREK FELLLLLLL THE BREKK
Step-by-step explanation:
Which expression is equal to 4(2+3)
Question 1 options:
A.4+5
B.8+12
C.2+12
D. 8+3
Answer:
B, 8+12
Step-by-step explanation:
2 + 3 is 5, 4 × 5 = 20
Therefore the only option which equals 20 is B.
40. Which two are equivalent to 4?
A A √2
BV8
C V16
D V12
E V64
Answer:
a or b
Step-by-step explanation:
help. mee
Write an equivalent expression for 3(3x + 5). Explain what property you used to write your equivalent expression.
Answer:
distributive property
9x+15
Step-by-step explanation:
The distributive property is whenever you have () and distribute until you have zero of these ()
The equivalent expression simply means write this equation differently.
HELP ANSWER FAST!!!!
Enola surveyed 300 of the students in her school about their favorite color. 78 students said their favorite color was purple. What percentage of the surveyed students said their favorite color was purple?
Answer:
26%
Step-by-step explanation:
I did some simple math here: a percentage represents a number over 100.
To find the percentage, I just divided 78 by 300 and got 0.26
I then multiplied by 100 to get 26%
Hope this helps! Have a great day!
An airplane can ascend at a rate of 54 1/2 meters in 2/3 of a second. How many meters can the airplane ascend in one second?
Answer:
The airplane ascends [tex]81\,\frac{3}{4}[/tex] meters in one second.
Step-by-step explanation:
Given that the airplane ascends [tex]54\,\frac{1}{2}[/tex] ([tex]\frac{109}{2}[/tex]) meters in [tex]\frac{2}{3}[/tex] seconds, we calculate the ascent rate of the airplane by simple rule of three:
[tex]x = \frac{\frac{109}{2}\,m }{\frac{2}{3}\,s } \times 1\,s[/tex]
[tex]x = \frac{327}{4}\,m[/tex]
[tex]x = 81\,\frac{3}{4}\,m[/tex]
The airplane ascends [tex]81\,\frac{3}{4}[/tex] meters in one second.
Find the equation of the line with slope −15 and y-intercept (0,−2).
Answer:
y = -15x - 2
Step-by-step explanation:
Please let me know if you want me to write an explanation for my answer :)
Use the slope formula to find the slope between the given two points.
(-4, -1) and (-2, -5)
Answer:
y2 -y1 over x2 - x1
Step-by-step explanation: plz mark brainliest
What is the distance between the points (2, 3) and (5, -4)?
PLEASE HELP ASAP!!
Answer:
7 point 6
Step-by-step explanation:
Enter a digit in each box to complete the division problem.
Please answer i’ll give brainliest
Step-by-step explanation:
2527 is the first line so 5 in the box
then 47 so a 4 in that box
top answer row
315 E7 so a 5 in that box.
please help picture attached
Answer:
triangle B and D
que es una organizacion
por favor es urgente
Step-by-step explanation:
Las organizaciones son estructuras administrativas y sistemas administrativos creadas para lograr metas u objetivos con el apoyo de las propias personas, o con apoyo del talento humano o de otras características similares.
GIVING BRAINLIEST ‼️
order the following numbers from least to greatest. 3/4, -1/8, |1/4|, -3, -1/2, |-1|
the series : 6/8 , -1/8 , 2/8 , -24/8 , -4/8 , 8/8
the ascending arrangement : -24/8 , -4/8 , -1/8 , 2/8 , 6/8 , 8/8
=
-3 , -1/2 , -1/8 , |1/4| , 3/4 , |-1|
pls give me brainliest