The area of the property is the product of its dimensions, and the expression for the area is (x + 10)²
How to determine the expression for area?The area of the land is the product of its dimensions.
Let the length and the width of the land be x.
So, the area measured by the appraisal is:
Area = x²
One side of the land is 10 more than the measured length.
So, we have:
Area = (x + 10)²
Substitute 12 for x
Area = (12 + 10)²
Evaluate
Area = 484
Hence, the area of the property is 484
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What are the values of a and y
The value of a is
The value of y is
Help help help help
Answer:
b = 12
Step-by-step explanation:
b/3 + 4 = 8
subtract 4 on both sides
b/3 = 4
multiply 3 with 4
b = 12
HDTV screens usually have a width to height ratio of 16:9 which screen dimentions are in the same propeortion
Answer:
4 feet by 3 feet
Step-by-step explanation:
width-to -height ratio of 16:9
Let analyse all possible answers:
4 feet by 3 feet
16 divided by 4 is the same as 9 divided by 3 => it is true
28 inches by 21 inches
16 divided by 28 is different as 9 divided by 21 => it is wrong
48 centimeters by 27 centimeters
16 divided by 48 is different as 9 divided by 27 => it is wrong
26 inches by 19 inches
16 divided by 26 is different as 9 divided by 219=> it is wrong
I choose A.
Hope it will find you well.
PLEASE HELP ASAPP!! WILL MARK BRAINLIEST (NO LINKS)
Find the axis of symmetry and
the
vertex of the graph of y = 3x^2
-18x + 17
Answer:
vertex: (3, -10)
axis of symmetry: x = 3
Step-by-step explanation:
Vertex form of a quadratic equation: [tex]y=a(x-h)^2+k[/tex]
(where (h, k) is the vertex)
Rewrite the given equation in vertex form by completing the square.
Given equation:
[tex]y=3x^2-18x+17[/tex]
Add 10 to both sides:
[tex]y+10=3x^2-18x+27[/tex]
Factor RHS:
[tex]y+10=3(x^2-6x+9)[/tex]
[tex]y+10=3(x-3)^2[/tex]
Subtract 10 from both sides:
[tex]y=3(x-3)^2-10[/tex]
Therefore, the vertex is (3, -10)
The axis of symmetry is the x-value of the vertex.
Therefore, the axis of symmetry is x = 3.
Answer:
Axis of symmetry: x = 3
Vertex: (3, -10)
Step-by-step explanation:
y = 3x² - 18x + 17
Axis of symmetry formula: x = [tex]\sf{\frac{-b}{2a}}[/tex]
a = 3b = -18[tex]\sf x={\frac{-b}{2a}}\implies \textsf{Substitute -18 for b and 3 for a}\\\\\sf\ x={\frac{-(-18)}{2(3)}}\implies\textsf{multiplying 2 negatives makes a positive}\\\\\sf\ x={\frac{18}{6}}\implies \textsf{divide}\\\\\ \boxed{\sf x=3}\implies \textsf{axis of symmetry}[/tex]
Now, substitute 3 for x in your original equation to find the value of y:
y = 3x² - 18x + 17
y = 3(3)² - 18(3) + 17 <== exponents first
y = 3(9) - 54 + 17 <== multiply
y = 27 - 54 + 17 <== subtract
y = -27 + 17 <== add
y = -10
Vertex: (3, -10)
Hope this helps!
Which of the following are solutions to the equation below?
Check all that apply.
5x^2 - 2x + 16 = 4x^2 + 6x
A. -6
B. 4
C. -4
D. -3
E. 18
F. 6
5x²-2x+16=4x²+6x
5x²-2x+16-4x²-6x=0
x²-8x+16=0
D= b²-4ac
= (-8)²-4×1×16
=0
x=-b/2a
= 8/2
=4
-> B
Answer:
4! I figured it would be more than just one answer but it’s only 4
Step-by-step explanation:
The GRE is an entrance exam that many students are required to take in order to apply to graduate school. In 2014, the combined scores for the Verbal and Quantitative sections were approximately normally distributed with a mean of 310 and a standard deviation of 12.
What is the probability that a randomly selected score is greater than 334? Write your answer as a decimal
Using the normal distribution, it is found that there is a 0.0228 probability that a randomly selected score is greater than 334.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 310, \sigma = 12[/tex]
The probability that a randomly selected score is greater than 334 is one subtracted by the p-value of Z when X = 334, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{334 - 310}{12}[/tex]
Z = 2
Z = 2 has a p-value of 0.9772
1 - 0.9772 = 0.0228.
0.0228 probability that a randomly selected score is greater than 334.
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Which equations are true for x = –2 and x = 2? Select two options
x2 – 4 = 0
x2 = –4
3x2 + 12 = 0
4x2 = 16
2(x – 2)2 = 0
Answer:
x^2 – 4 = 0 AND 4x^2 = 16
Step-by-step explanation:
a) x^2 – 4 = 0 --> (x + 2)(x - 2)=0 --> x= -2 AND x= +2
b) x^2 = -4 doesn't have any solution in the real numbers.
c) 3x^2 +12 = 0 -->(divide by 3)--> x^2 +4 =0 ---> x^2 = -4 as b)
d) 4x^2 = 16 -->(divide by 4)--> x^2 = 4 --> x^2 -4 = 0 as a)
e) 2(x -2)^2 =0 -->(divide by 2)--> (x-2)^2 =0 --> one solution that is x=+2
on a rainy day, parker and his mom watched movies for 2 2/3 hours. they played games for 1 1/4 times as long as they watched movies. how many hours did parker and his mom play games
Answer:
3 1/3 hours
Step-by-step explanation:
if you use cross multiplication and multiply 1 by 2 2/3 you get 2 2/3 and if you multiply 1/4 by 2 2/3 add them together and you'll get 3 1/3 hours or also known as 3 hours and 20 minutes
The distance from any point on a circle to the center of the circle is the
radius
diameter
area
circumference
Answer:
Radius.
Step-by-step explanation:
● The distance from the centre to any other point on the circle is known as the radius.
Other Definitions:
● Diameter is the the distance from one point to another point of the circle which passes through the centre of the circle.
● The space enclosed by a figure is known as its area. Area of a circle = πr²
● Circumference of a circle is its outer perimeter. Circumference = 2πr
____________
Hope it helps ⚜
It is predicted that by 2050, there will be 10^10 people living on Earth. At that time, it is predicted there will be approximately 10^12 trees. How many trees will there be for each person?
Answer:
100 trees per person
Step-by-step explanation:
10^12 trees / 10^10 persons = 10^(12-10) = 10^2 trees/person
Answer:
Step-by-step explanation:
Givens
There are 10^12 trees
There are 10^10 people
Solution
Number of trees / person = Number of trees / Number of people = 10^12/10^10= 10^(12 - 10) = 10^2 = 100
There will be 100 trees / every person on the planet.
The Sausage Hut is looking at a new sausage system with an installed cost of $330,000. This cost will be depreciated straight-line to zero over the project's three-year life, at the end of which the sausage system is estimated to have zero value. The project has no impact on net working capital. Each year during its three year life, the new system will increase the firm’s Sales by $455,000 and its Operating Cash Flow by $123,300.
If the tax rate is 30 percent and the discount rate is 9 percent, what is the NPV of this project?
Group of answer choices
-111,524
- $17,891
$19,405
$35,389
$1,136,217
Based on the net cashflow over the three year life, the NPV that Sausage Hut will realize is -$17,891.
What is the Net Present Value?First find the present value of the increased cashflows. As it is a constant amount of $123,300, we can treat it as an annuity.
Present value = Amount x (Present value of annuity interest factor, 9%, 3 years)
= 123,300 x 2.5313
= $312,109.29
The net present value is:
= Present value of cashflows - Amount invested
= 312,109.29 - 330,000
= -$17,890.71
= -$17,891.
In conclusion, option B is correct.
Find out more on Net Present Value at https://brainly.com/question/13228231.
100 POINTS WILL MARK BRAINLIEST NEED BY 9:00
Answer:
Hello! Here are your answers for Part A:
4(x + 6) - 11 = 25 is a multi-step equation.
-1/2(2/3a - 4) = 1/2a - 7 is an equation with rational coefficients.
y - 23 = 8 is a one-step equation.
-3m - 2 = -17 is a two-step equation.
For Part B:
Find the common denominator -
x/2 - 7 = 4
x/2 + 2(-7)/2 = 4
Combine the fractions with the common denominator -
x/2 + 2(-7)/2 = 4
x + 2(-7)/2 = 4
Multiply the numbers -
x + 2(-7)/2 = 4
x - 14/2 = 4
Multiply all terms by the same value to eliminate fraction denominators -
x - 14/2 = 4
2 * x - 14/2 = 2 * 4
Cancel multiplied terms that are in the denominator -
2 * x - 14/2 = 2 * 4
x - 14 = 2 * 4
Multiply the numbers -
x - 14 = 2 * 4
x - 14 = 8
Add 14 to both sides -
x - 14 = 8
x - 14 + 14 = 8 + 14
Simplify -
x - 14 + 14 = 8 + 14
x = 8 + 14
x = 22
The solution to this equation is 22. 6 is NOT a solution.
Hope this helps! Have a great day.
Which of the following is evaluating to 3(y+4)-7?
The tax rate is 3.9 what is the tax on $42 round to the nearest hundredth
Answer:
If the tax rate = 3.9% and the product u are buying is priced at $42 Then, the amount you will pay for the object will be, $42 + 3.9/100 * 42
Step-by-step explanation:
I hope this help
drag the correct symbol into the box to compare expessions
6^2-2^2___4(6+2)
A.≠
B.=
Simplify both sides to compare:
6^2 - 2^2 = 36-4 = 32
4(6+2) = 4 x 8 = 32
they are equal to each other.
Answer: B. =
A balloon archway has been ordered for decorating the high school gym for a 1950's
style prom. The archway will contain 417 balloons, each holding 1.1 liters of helium.
Each balloon has a mass of 0.027 grams when empty, and all the string and fixings
that hold the balloons together total another 36 grams. If helium has a density of
0.1785 grams per liter, what is the mass of the entire archway.
We will see that the total mass of the entire archway is M = 129.1578g
What is the mass of the entire archway?We know that each ballon weighs 0.027 grams for the plastic.
Now, we also need to remember the relation:
mass = density*volume.
Here, the density of helium is 0.1785 g/L
And the volume of each ballon is 1.1 L, then the mass of helium in each ballon is:
m = (0.1785 g/L)*(1.1 L) = 0.1964 g
Then the total mass of each ballon is:
M = 0.1964 g + 0.027g = 0.2234g
And there are 417 ballons, so the total mass (also adding the 36 grams for the strings) is:
Mass = 417*0.2234g + 36g = 129.1578g
If you want to learn more about mass, you can read:
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2800 square feet at $20 a square foot how much would that cost
What is the volume of a rectangular prism with length 7 cm, width 2 cm, height 5 cm?
Answer:
[tex]7x2x5= 70[/tex]
Hope This Helps! :)
Which of the following points is the reflection of (8, -5) in the y-axis?
A. (8, 5)
C. (-8, 5)
B. (-5, 8)
D. (-8, -5)
Answer:
D
Step-by-step explanation:
When you flip a point around the y axis the x value is inverted since the point is moved to the opposite side across the y axis.
George and his friends rode motorcycles all day on Saturday. He made a table that showed the number of gallons of gas remaining at the end of each hour.
Answer:
negative correlation
Step-by-step explanation:
his fuel keeps decreasing every time he uses his motorcycle
A desk is on sale for $198.40, which is 32% of the regular price.
What is the regular price?
PLEASE HELP ME!! I NEED HELP WITH THIS!!
Answer:
D
Step-by-step explanation:
To reflect over the Y axis, the X values of each coordinate must be made into opposites. So a coordinate with the form (x,y) will become (-x,y) when reflected across the Y axis, which is needed here.
What is the surface area of a cylinder that is 5 centimeters high
and has a diameter of 1.5 centimeters?
7.57 cm
B 8.6257 cm
C 10.57 cm
D 19.557 cm
To find the surface area:
⇒ let's define what makes up the surface area of a cylinder
⇒ it is made up of two circles as its bases and its side is a long
rectangular piece curved around
Area of Two Circles
⇒ Area of Circle Formula = [tex]\pi r^{2}[/tex]
⇒ Area of Two Circle Formula = [tex]2\pi r^{2}[/tex]
⇒ since r: is length of radius --> 0.75 cm (radius is half of diameter)
⇒ Area of Two circles: [tex]2\pi (0.75)^{2} =3.5343[/tex]
Area of Rectangular piece curved around to form Cylinder
⇒ length: circumference of a circle ⇒ [tex]2\pi r[/tex]
⇒ width: height of the cylinder ⇒ 5cm
⇒ Area of Rectangular piece: [tex]2*\pi *0.75*5=[/tex] 23.5169
Total Area = 27.0512 = 8.6257[tex]\pi[/tex] square centimeters ⇒ Choice (B)
Hope that helps!
Answer:
56.25
Step-by-step explanation:
i just did the test
Joe's softball team was in a tournament. If a team lost one game they were eliminated. His team won the tournament, defeating four other teams. How many teams were entered in the tournament?
Sam poured 1/2 of the punch from a 3 litter bottle while serving guests at a gathering. How much punch ,in litters, is still left in the bottle?
Answer:
1.5 litres
Step-by-step explanation:
1/2 of the punch in a 3 litre bottle is found by dividing 3 by 2, splitting it in half. 3÷2=1.5, or 1 and a half litres
A washer and dryer cost $918 combined . The washer cost $68 more than the dryer . What's is the cost of the dryer ?
A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. Which of the
following procedures would produce a simple random sample?
O Assign the homework questions the numbers 1-10. Use a random number table to select the first three number
between 1 and 10. These represent the questions that will be graded,
• Assign the homework queations the numbers 0 to 9. Use a random number table to select the 1o first three numbe
between 0 and 9. These represent the questions that will be graded.,
Assign the homework questions the numbers 01-10. Use a random number table to select the first three 2-digit 1O
numbers between 01 and 10. These represent the questions that will be graded,
Assign the homework questions the numbers 0-9. Use a random number table to select the first three 1o unique
numbers between 0 and 9. These represent the questions that will be graded.
Answer:
Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.
Step-by-step explanation:
D.
What is the median for this list of numbers? 2, 5, 8, 9, 11,3
6.5 because if you place the numbers from smallest to greatest and find the two numbers in the middle which are 5 and 8 you should add them and then divide by 2 and this is the answer
Whats the diameter of the sphere
Answer:
Here is answer my monkey brotheren
Step-by-step explanation:
#3. Using the table of values, which equation represents the linear
function? *
х: -2, 0, 2, 4, 6
у: 1, -9, -19, -29, -39
O y = -x + 10
O y = 10x + 1
O y=-10x - 9
O y=-5x - 9
Answer:
y = -5x + 9.
Step-by-step explanation:
Lets look for the relation between x and y.
Try the first one:
When x = -2, y = -(-2) + 10 = 12
In the table y = 1 so its not this one.
Number 2:
x = -2, y = 10(-2) + 1 = -18 - Not thios one
Number 3:
When x = -2, y = -10(-2) - 9 = 11
Not this one
Number 4:
y = -5(-2) - 9 = 1
This is the one.
Check again with x = 0:
When x = 0, y = -5(0) - 9 = -9.