To model Orlando's population growth, an equation in slope-intercept form is y = 2000x + 175000. The year 2010 is 15 years after 1995, so substituting 15 in for x gives a population of approximately 205,000 residents for Orlando in 2010.
To answer the student's question, first we need to write an equation in slope-intercept form to find Orlando's population for any year. The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope of the line (the rate of change) and b is the y-intercept (the starting value when x=0). In this case, the variable y represents Orlando's population, m represents the annual growth rate (2000 people per year), and x represents the number of years since 1995.
Using these variables, our equation becomes y = 2000x + 175000, where x is the number of years since 1995. To find Orlando's population in 2010, we must substitute x with 15, since 2010 is 15 years after 1995.
The calculation would be: y = 2000(15) + 175000, which simplifies to y = 205000.
Therefore, Orlando's population in 2010 was approximately 205,000 residents.
x - y = 3 x + y = 5 Which of the following systems is equivalent to the given system? 2x - y = 18 and x + 2y = 10 4x - 3y = 18 and x + 2y = 10 2x - 3y = 3 and x + 2y = 5
The equivalent system to given equations is: 2x - y = 3 and x + 2y = 5. We assess this by finding the solution of the given system (x = 4, y =1) and verifying these values in all given options.
Explanation:The given system is: x - y = 3 and x + y = 5. To find an equivalent system, we need to find a system that has the same solution as the given one.
If we add these two equations, we have 2x = 8, so x = 4. If x = 4, we can put x = 4 into the second equation 4 + y = 5, hence y = 1.
Now we test these solutions in the given options. After testing, we find that the equivalent system is: 2x - y = 3 and x + 2y = 5.
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A cube has a total surface area of 54 square inches.
What is the volume of the cube?
Answer:
V = 27 in³Step-by-step explanation:
The formula of a surface area of a cube:
[tex]S.A.=6a^2[/tex]
a - edge
We have S.A. = 54 in². Substitute:
[tex]6a^2=54[/tex] divide both sides by 6
[tex]a^2=9\to a=\sqrt9\\\\a=3\ in[/tex]
The formula of a volume of a cube:
[tex]V=a^3[/tex]
Substitute:
[tex]V=3^3=27\ in^3[/tex]
Twelve of the fifty dogs in the show were some breed of terrier. What percent is this?
Answer:
That would be 24%.
Which describes the relationship between 1 and 2
A. 1 and 2 are complementary angles
B. 1 and 2 are equivalent angles
C.1 and 2 are adjacent angles
D.1 and 2 are supplementary angles
C is the correct answer
1 and 2 are adjacent angles. (C)
2. Which is a disadvantage of purchasing and owning a home?
A.An individual assumes all responsibility for maintenance and repair of owned property.
B.An individual has more freedom and choice for owned property than rented lodging.
C.An individual pays less in property taxes as a homeowner than a renter.
D.An individual builds equity by owning a home.
3. Use the table to answer the question.
The table shows the Final Settlement Statement for the purchase of a home.
How much cash did the borrower pay upfront?
A.$605.36
B.$3,491.04
C.$25,985.68
D.$95,505.36
4. Use the table to answer the question.
The table shows the Final Settlement Statement for the purchase of a home.
What amount goes in line 8?
A.$120,440.04
B.$121,491.04
C.$123,909.44
D.$125,882.47
2. Which is a disadvantage of purchasing and owning a home?
A. An individual assumes all responsibility for maintenance and repair of owned property.
3. How much cash did the borrower pay upfront?
D.$95,505.36 (500 + 94400 + 605.36)
4. What amount goes in line 8?
B.$121,491.04 (95505.36 + 25985.68)
The main disadvantage of home-ownership is that the individual is responsible for all maintenance and repair costs. As for the borrower's upfront payment and the amount in line 8 on the Final Settlement Statement, these would be specified in the settlement statement and cannot be precisely determined without such information.
Explanation:2. The main disadvantage of purchasing and owning a home is: A. An individual assumes all responsibility for maintenance and repair of owned property. This can be expensive and time-consuming, especially if the property is older or requires frequent repairs.
3 & 4. Without the table showing the Final Settlement Statement for the purchase of a home, it would be impossible to indicate precise answers to questions 3 and 4 related to upfront cash paid by the borrower, and the amount going in line 8. These values are calculated based on several variables, which should be tabulated clearly in the Final Settlement Statement.
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Write the expression: y divided by the quantity x minus 5.
HURRY PLEASE IM IN CLASS THANKS
Answer:
please mark me brainiliest
y/x-5
Step-by-step explanation:
Answer: y ÷ x -5
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
"y" is a variable that is divided by the quantity "x" (also a variable) minus 5 (subtraction).
Mathematically speaking:
y ÷ x -5
In conclusion, the expression is y ÷ x -5
Feel free to ask for more if needed or if you did not understand something.
The courtyard behind Jennie’s house is shaped like a trapezoid the bases measures 8 meters and 11 meters the height of the trapezoid is 12 meters what is the area of the courtyard
Answer:
A = 114 m²
Step-by-step explanation:
The formula for area of a trapezoid is
A = (1/2)(B + b)h where B is the bottom base, b is the top base, and h is the height.
We are given B = 11, b = 8, and h = 12, plug those values in and simplify
A = (1/2)(11 + 8)(12)
A = (1/2)(19)(12)
A = (19)(6) (half of 12 is 6)
A = 114 m²
The average earning of a shop for first three weeks of a month are 2750 per week. If the earnings of next 2 weeks are 4750 rupees then find total earnings of the 5 weeks.
A. 3000 B. 17500
C. 17750 D. 13000
E. none
Answer:
D. 13000 is the correct option out of the choices!
The total earnings of the 5 weeks will be 13,000.
What is Addition?A process of combining two or more numbers is called addition.
We have to given that;
The average earning of a shop for first three weeks of a month are 2750 per week.
And, The earnings of next 2 weeks are 4750 rupees.
Now,
Since, The average earning of a shop for first three weeks of a month are 2750 per week.
Hence, The total earnings in first three weeks = 3 × 2750
= 8,250
And, The earnings of next 2 weeks are 4750 rupees.
Hence, The total earnings = 8250 + 4750
= 13,000
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What would the answer be because I already tried everything and I just can’t get it
Answer:
e = 56
Step-by-step explanation:
Use cross multiplication.
28 * 14 = 7e
Simplify
392 = 7e
Divide each side by 7
e = 56.
Answer:
cross muiltiply the euqation
28 * 14 = 7e
e= 56
give thanks :D
Which option below best describes why the domain of g(x) = 5–x is all real numbers but the range of g is not all real numbers? The domain of g is all real numbers because every real number . However, the range of g is not all real numbers because the
Answer:
The function is
g(x) = 5^(-x)
This question can be easily solved by using a graphing calculator
and plotting the graph of g(x)
In the image below, we can see that for each value of x , there is a corresponding value for g(x)
This means that the function does not have any discontinuities. Therefore,
The domain of g(x) is all real numbers (x ∈ R)
The range is related to the values that can be achieved by g(x),
Since it is a positive exponential function, all values will be g(x)>0
And the range would be (0,∞)
The domain of g(x) = 5-x is all real numbers because any real number can be an input, but the range is not all real numbers since the output is limited to values equal to or less than 5.
The function g(x) = 5-x has a domain of all real numbers because you can plug in any real number for x and it will result in a valid output. In contrast, the range of g is not all real numbers because the function g(x) can only produce certain values based on the operations involved. For instance, if x is a real number, the expression 5-x will always result in values less than or equal to 5, since you are subtracting a real number from 5. Thus, the output will never be greater than 5, so the range is all real numbers less than or equal to 5.
Two numbers have a product of 12 but their sum is -7. What are the numbers?
Answer:
-4 and -3
Step-by-step explanation:
-4 + -3 = -7
-4 * -3 = 12
Negative times negative equals a positive.
Answer:
-3 and -4
Step-by-step explanation:
Two numbers have a product of 12 but their sum is -7
Answers are -3 and -4
Double check:
(-3) x (-4) = 12
and
(-3) + (-4) = -7
A bottlenose dolphin is 10 feet below sea level. Then it begins to dive at a rate of 9 feet per second. What is the equation of the line that represents its elevation, y, after x seconds?
A.
y = 9x − 10
B.
y = -9x − 10
C.
y = 9x + 10
D.
y = -9x + 10
Diving means it is moving down so it would be a negative value.
You would need to multiply the rate by the number of seconds it dives, so you would have -9x for that part.
The dolphin started at 10 feet below sea level which would be written as -10.
To find the elevation you would need to add both parts together, which would give you:
y = -9x -10
The answer is B.
Answer:
the answer is b :)
Step-by-step explanation:
please tell me a answer please and thank you and please show steps =^)
Answer: $105.25
Step-by-step explanation: The first step is to calculate the total of the purchases that she made, which is done by this formula:
(2x$16) + 40 +25=
$32 + 40 + 25 =
$97 is the total of the clothing
Tax is 8.5%, so to calculate the tax by multiplying .085 x 97 = $8.25 Sales Tax
In order to determine the total, add $97 + 8.25 = $105.25
what is 365885325790986666*89625895187465785 56 points for answer.
Answer: This was HARD! 3.279279986x10^34
Step-by-step explanation:
I HOPE TO GOD THAT HELPED! phew!
5. Five students scored 80 on a test, five students scored 85. and five students scored 90. Finish the statements below.
A. The mean is ...
A. The Median is...
A. The range is...
A. The MAD is..
80, 80, 80, 80, 80, 85, 85, 85, 85, 85, 90, 90, 90, 90, 90
Mean = 85
Median = 85
Range = 10
Mean Absolute Deviation (MAD) = 3.33
Answer:
3.33
Step-by-step explanation:
hope this helps
Estimate how many times larger 5x10^8 is than 24x10^6. A) 10 times larger
i believe its 20 times larger
HELP ASSAP WILL MARK BRAINIEST!!!!! Just need the slope
Answer:
1/4
Step-by-step explanation:
2/8 = 1/4
Write 58% as a fraction in simplest form
Answer:
29/50
Step-by-step explanation:
58/100 simplified is 29/50
carmen participated in a read-a-thon.MR.cole pledge $4.00 per book and gave carmen $44.00.How many books did carmen read
Answer:
11 books
Step-by-step explanation:
because if she gets $4 per book and gets $44 in total then that means she has read 11 books because 4 times 11 is 44.
Determine the solution to the system of equations given below y=x^2-5x+15
Answer:
x=(5+i*sqrt(35))/2, (5-i*sqrt(35))/2
Step-by-step explanation:
Use the quadratic formula with the following values.
a = 1
b = -5
c = 15
Substitute and simplify.
(5+-sqrt((-5)^2-4*(1*15)))/2*1
x = (5+-i*sqrt(35))/2
When you get a negative number inside the square root, remember that you can pull out i to make the number inside positive.
How do I work this problem out
Answer:
6^2 + 8^2 = c^2
36+ 64 = c^2
100 = c^2 | sqrt
10 = C
Let's Find Angles :
sin BCA = 6/10 = 0.6 => 37 degree
90 degree + 37 degree = 127 degree
Angle BAC = 180 degree - 127 degree = 53 degree
The side AC is 10
Step-by-step explanation:See the image attached
(65 + (1/5 x5) +6) divided by 9
1/5x5=1,65+1+6=72, and 72÷9=8. The answers 8.
What is the term for a transformation that changes the size of a figure? rotation dilation reflection translation
The term that changes the size of a figure is called Dilation
Step-by-step explanation:A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A description of a dilation includes the scale factor and the center of the dilation. A dilation stretches or shrinks the original figure. Remember that to dilate something in the coordinate plane, multiply each coordinate by the scale factor
The term for a transformation that changes the size of a figure is dilation. Dilation involves stretching or shrinking a figure while maintaining its shape, using a scale factor greater than 1 for enlargement or between 0 and 1 for reduction.
The term for a transformation that changes the size of a figure is dilation.
Dilation is a geometric transformation that alters the size of a figure while keeping its shape intact. It involves stretching or shrinking the figure by a scale factor, which can either be greater than 1 (resulting in an enlargement) or between 0 and 1 (resulting in a reduction). In a dilation, all points of the original figure move away from or toward a fixed center called the "center of dilation," and their distances from the center are multiplied by the scale factor.
In contrast, other transformations have different effects:
Rotation involves turning a figure about a fixed point.
Reflection flips a figure over a line, creating a mirror image.
Translation shifts a figure in a specific direction without altering its size or shape.
So, the transformation that changes the size of a figure is dilation.
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These two rectangular prisms are similar. What’s the volume of the larger prism?
810
216
300
900
Answer:
810cm^3
Step-by-step explanation:
Find the diameter of a circle with an area of 380.13m^2
Answer:
22
Step-by-step explanation:
Divide the area (in square units) by Pi (approximately 3.14159).
Example: 380.13/3.14 = 121.06
Then square the answer.
121.06 squared = 11.0
That answer is the radius, double that to get the diameter.
11.0 * 2 = 22
Final answer:
To calculate the diameter of a circle with an area of 380.13 m², solve for the radius using the formula r = √(A/π) and then double that value to find the diameter, resulting in a diameter of approximately 22.00 meters.
Explanation:
To find the diameter of a circle with a given area, we start with the formula for the area of a circle, which is A = πr², where A is the area, π (Pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle. Given the area A = 380.13 m², we can solve for the radius r by rearranging the area formula to r = √(A/π) and then calculating the diameter D by doubling the radius (D = 2r).
Step 1: Calculate the radius.
r = √(A/π) = √(380.13 m² / 3.14159) ≈ 11.00m
Step 2: Calculate the diameter.
D = 2r = 2 × 11.00m = 22.00m
if f(×)=4×^2+1 and g(x)=×^2-5 find (f-g)(×)
Answer:
[tex]\large\boxed{(f-g)(x)=3x^2+6}[/tex]
Step-by-step explanation:
[tex](f-g)(x)=f(x)-g(x)\\\\f(x)=4x^2+1,\ g(x)=x^2-5\\\\\text{Substitute:}\\\\(f-g)(x)=(4x^2+1)-(x^2-5)=4x^2+1-x^2-(-5)\\\\=4x^2+1-x^2+5\qquad\text{combine like terms}\\\\=(4x^2-x^2)+(1+5)=3x^2+6[/tex]
While shopping for clothes Tracy spent $38 less than three times what Daniel spent right and solve an equation to find how much Daniel spent where X represents how much Daniel spent
Answer:
y=3x-38
Step-by-step explanation:
We know that Tracy spent $38 in less than 3 times than what Daniel spent. Given this information we can put our eqaution together.
Y=3x-38
Hope this helps! :)
WNCI is having a promotion in which every 42nd caller receives a free concert ticket to JAY-Z and every 72nd caller receives a backstage access pass. Which caller will be the first one to win both?
Answer:
504th caller
Step-by-step explanation:
To determine who would win both the free concert ticket AND the backstage access pass, we need to find the first number that is divisible by both 42 and 72 at the same time.
That's called the Least Common Multiple (LCM), and it can be found with this formula:
[tex]lcm(a,b) = (\frac{|a * b|}{gcd(a,b)} )[/tex]
Where gcd is the Greatest Common Divisor, meaning what's the greatest number that divides both numbers without any leftover.
In the case of 42 and 72, the GCD is 6.
So, let's take the formula again, punching in the numbers this time and solving it.
[tex]lcm(42,72) = (\frac{|42 * 72|}{6} ) = \frac{3024}{6} = 504[/tex]
And 504 does divide both 42 (result is 12) and 72 (result is 7).
Identify the vertex and the y-intercept of the graph of the function.
y = –0.25(x – 4)^2 2 – 2
vertex, (2, –4); y-intercept, –6
vertex, (–4, 0); y-intercept, –6
vertex, (4, –2); y-intercept, –6
vertex, (–2, 4); y-intercept, –6
Answer:
vertex, (4, –2); y-intercept, –6
Step-by-step explanation:
The equation is written in vertex form [tex]y = a(x-h)^2 + k[/tex] where the vertex is (h,k).
The vertex here is (4, -2). This means the solution is vertex, (4, –2); y-intercept, –6.
Answer:
vertex, (4, –2); y-intercept, –6.
Step-by-step explanation:
[tex]y=-0.25(x-4)^{2}-2[/tex]
[tex]y=-0.25(x^{2}-8x+16)-2[/tex]
[tex]y=-0.25x^{2}+2x-4-2[/tex]
[tex]y=-0.25x^{2}+2x-6[/tex]
the vertex is [tex](\frac{-b}{2a},y(\frac{-b}{2a}) )[/tex] where a=-0.25 and b=2. So,
[tex]\frac{-b}{2a}= \frac{-2}{-0.5}=4[/tex]
[tex]y(\frac{-b}{2a})=-0.25(4)^{2}+2(4)-6= -4+8-6=-2 [/tex]
Then, the vertex is (4,-2) and the intercept is y(0)= -0.25(0)+2(0)-6 = -6. So, the answer is the third option.
Write the equation for 5x + 2y = 3 in slope-intercept form.
y = 5/2 x - 3/5
y = -5/2x + 3/2
y = -2/5x +3/5
the answer is :
y = -5/2x + 3/2
Answer:
Choice b is correct.y = -5/2x+3/2 is the slope intercept form of given equation.
Step-by-step explanation:
We have given the equation:
5x + 2y = 3
We have to write the equation in slope intercept form.
The general slope intercept form of equation is :
y = mx+c
Where m = slope and c is the y-intercept.
We have given the expression:
5x + 2y = 3
2y = 3-5x
y = (3-5x)/2
y = 3/2-5/2x
y = -5/2x+3/2
y = -5/2x+3/2 is the slope intercept form of given equation.
Where m = -5/2 and y-intercept = 3/2