Find the area of the trapezoid shown below. {?} square feet
Answer:
432
Step-by-step explanation:
Satellite dishes are shaped like parabolas to optimally revive signals. The cross section of a satellite dish can be modeled by the function y= 1/8(x^2-4) where x and y are measured in feet. The x-axis represents the top of the opening dish.
Write a quadratic function that models the cross section of the satellite dish that is 6 feet wide and 1.5 deep.
The cross section of the satellite dish is an illustration of a quadratic function
The quadratic function that models the cross-section is y = 1/6(x^2 - 9)
How to determie the equation of the cross-section?The given parameters are:
Width = 6 feet
Depth = 1.5 feet
Express the width the sum of two equal numbers
Width = 3 + 3
The above means that, the equation of the cross section passes through the x-axis at:
x = -3 and 3
So, we have:
y = a(x - 3) * (x + 3)
Express as the difference of two squares
y = a(x^2 - 9)
The depth is 1.5.
This is represented as: (x,y) =(0,-1.5)
So, we have:
-1.5 = a(0^2 - 9)
Evaluate the exponent
-1.5 = -9a
Divide both sides by -9
a = 1/6
Substitute 1/6 for a in y = a(x^2 - 9)
y = 1/6(x^2 - 9)
Hence, the quadratic function that models the cross-section is y = 1/6(x^2 - 9)
Read more about quadratic functions at:
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Please answer number 6. Thank you.
Is (–5, 5) a solution to the equation y=x ?
Answer:
No.
Step-by-step explanation:
-5 =! 5
Need Answers for B,C,D
Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the development of a recreational park on the west side of town. A community action group interested in preserving the environment claims that 45% of the town’s residents favor the development of a recreational park. To determine whether the sample supports the population proportion, a simulation of 100 trials is run, each
with a sample of 200, using the point estimate of the population. The minimum sample proportion from the simulation is 0.46 and the maximum sample proportion is 0.76.
(a) What is the point estimate of the population? Answer is $0.62
(b) The margin of error of the population proportion is found using an estimate of the standard deviation. What is the interval estimate of the true population proportion?
(c) The margin of error of the population proportion is found using half the range. What is the interval estimate of the true population proportion?
(d) Is the community action group’s claim likely based on either interval estimate of the true population proportion? Explain.
The probability computed shows that the point estimate of the population is 6.2%.
How to calculate the probability?a. The point estimate of the population will be calculated thus:
= 62% = 62/100 = 0.62
b. The margin of error of the population will be:
= z value × [✓0.62 × ✓0.38 / ✓200]
= 1.96 × (0.78 × 0.61 / 14.14)
= 0.0672
Therefore, the interval estimate is 6.72%.
c. The margin of error of the population proportion is found using half the range will be:
= [0.76 - 0.46] /2
= 0.30/2
= 0.15
d. The community action group’s claim is likely based on either interval estimate of the true population proportion since the confidence interval value is greater than 0.45.
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Write (x^2) ^4without exponents
Answer:
[tex]x * x + x * x * x * x = y[/tex]
The formula for finding exponents is multiply the number following the exponent by itself that number of times.
is x+4 a factor of P(x)=4x^2-4x+8?
Answer:
(x^3-2x^2-4)*(x+2)
Step-by-step explanation:
who can answer? ill give brainlist
Answer:
2.23
Step-by-step explanation:
we get this by making the fraction a decimal and finding out the value of each section
PLS HELP ME I WILL MARK THE BRAINLIEST
Answer:
1. 155 yd², 2. 379.54 ft², 5. x = 65.82π
Step-by-step explanation:
1. A = (1/2) · (3 + 13) · 8
A = (1/2)(16)(8)
A = 64
A = bh
A = 13*7
A = 91
64 + 91 = 155
155 yd²
2. A = bh
A = 25x25
A = 625
A = πr²
A = 3.14*12.5²
A = 3.14*156.25
A = 490.625
490.925/2 = 245.4625
625 - 245.4625 = 379.5375
379.54 ft²
3. and 4. Sorry, I don't know how to solve these
5. A = πr²
A = 3.14*7²
A = 3.14*49
A = 153.86
x/154 = 153.86π/360
360x = 154*153.86π
360x = 23694.44π
x = 65.8178889π
x = 65.82π
Hope this helps :)
Can someone help me out please
. In the diagram of collinear points, if AB = 42, AC = 65, then BC = _
Answer:
Bc 23
Step-by-step explanation:
because you muply 42 to 65 and u will get that the same answer
How can data displays be used to compare two sets of data? Select all that apply. They quickly illustrate measures of center. They quickly illustrate measures of center. They identify all the data points in each data set. They identify all the data points in each data set. They show trends in data that can be compared. They show trends in data that can be compared. They display measures of variability for each data set. They display measures of variability for each data set. They easily show the mean of each data set.
Answer:
Step-by-step explanation:
A and C Step-by-step explanation:I would go for A and C options which best describes the use of data displays for the comparison of two data sets.Data Display is basically displaying of useful data which has been extracted from bundles of raw data or raw data points. That useful data can be used to compare two different datasets as well. So, in option A, It says that it quickly illustrate measures of centre. True, because it presents you quick display so that everyone seeing the data in form of charts or tables easily catch the information to be conveyed. And in option C, It says, they show trends in data that can be compared. Yes again true. Data displays show you trends of different things in one clear picture and it can be compared with other datasets through the use of data displays. Still stuck? Get 1-on-1 help from an expert tutor now.
please help me
To build a pizza, customers choose stuffed (S) or thin (T) crust, red (R) or white (W) sauce, and a topping. The choices for toppings are pepperoni (P), sausage (S), or vegetables (V).
The following list shows the possible pizzas that can be made. The first letter represents the crust, the second letter represents the sauce, and the third letter represents the topping. For example, a stuffed-crust pizza with red sauce and pepperoni is listed as SRP, and a stuffed-crust pizza with white sauce and sausage is listed as SWS.
SRP, SRS, SRV, SWP, SWS, SWV, TRP, TRS, TRV, TWP, TWS, TWV
How many outcomes include red sauce or sausage?
Enter you answer as a number, like this: 42
Answer:
8
Step-by-step explanation:
I bolded what I think is important to know.
To build a pizza, customers choose stuffed (S) or thin (T) crust, red (R) or white (W) sauce, and a topping. The choices for toppings are pepperoni (P), sausage (S), or vegetables (V).
The following list shows the possible pizzas that can be made. The first letter represents the crust, the second letter represents the sauce, and the third letter represents the topping. For example, a stuffed-crust pizza with red sauce and pepperoni is listed as SRP, and a stuffed-crust pizza with white sauce and sausage is listed as SWS.
SRP, SRS, SRV, SWP, SWS, SWV, TRP, TRS, TRV, TWP, TWS, TWV
How many outcomes include red sauce or sausage?
PLS PLS PLS HELP ME!!!
Answer:
68.
Step-by-step explanation:
90-degree angles.
90 - 22 = 68.
PLS HELP ILL MARK AS BRAINLIEST
Answer:
296, 288, 280, 240
Step-by-step explanation:
y = -8x + 296 is a linear equation by which you're plugging the x values of 0,1,2,7 into it to get a y value.
y = 296 when x = 0,
y = 288 when x = 1,
y = 280 when x = 2,
y = 240 when x = 7.
Cheers!
PLEASE HELP ASAP
84 = h – 8
h =
Hello!
Let's solve this equation:
84=h-8
This is the same as
h-8=84
Add 8 to both sides:
h=84+8
h=92
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
Tara runs along a straight running path at a constant rate of 410
feet per minute. Which graph represents Tara's run?
Please can you help me ?!asap!!!
Answer:
Looks like A
Step-by-step explanation:
Can someone help me?
Answer:
Min = 2
Q1 = 4
Median = 11
Q3 = 16
Max = 18
Step-by-step explanation:
2, 4, 4, 7, 10, 11, 12, 13, 16, 17, 18
Q1 Q2 Q3
Min (minimum value) = 2
Q1 = 4
Median (middle value Q2) = 11
Q3 = 16
Max (maximum value) = 18
Question in picture below.
what is 0.63 divided by 0.21 (can you please show work)
[tex]\dfrac{0.63}{0.21}=\dfrac{0.63 \times 100}{0.21 \times 100}=\dfrac{63}{21}=\dfrac{21 \times 3}{21}=3[/tex]
Answer: in the file
Step-by-step explanation: in the file
Diego then says, “If we take half of the first number and double the second, the sum is 14.” Write an equation that represents this clue. What are Diego’s two numbers? I have the first part which is the equation, but i can’t figure out what his two numbers are. Please help! Thank you!
I don’t understand this
7 yd 2 ft =_____ft
Answer:
23 ft
Step-by-step explanation:
contractor charges $1,200 for 100 square feet of roofing installed. At this rate, how much does it cost to have 1,100 square feet installed?
Answer:
1200
Step-by-step explanation:
Answer:
$13200
Step-by-step explanation:
1200$ = 100
? =1100
(1200*1100) ÷ 100
(1 320 000) ÷100
$13200
Solve for a
SOLVE ASAP!!
Have a good rest of your Day
On a coordinate plane, how are the locations of the points (-5 , -3) and (5 , -3) related? A. Reflection across both axes B. Locations unrelated C. Reflection across the x-axis D. Reflection across the y-axis
Answer:
D. Reflection across the y-axis
Step-by-step explanation:
In the points (-5, -3) and (5, -3), first, notice that the y-coordinates are the same. However, the x-coordinates are positive and negative, meaning one will be on the left side of the y-axis and one will be on the right side of the y-axis, bringing us to answer D. Graph proof is also attached.
Complete the sentence.
13. The slopes of perpendicular lines are?
Answer:
negative reciprocals of each other
Step-by-step explanation:
internet
A new car is purchased for 21,800 dollars. The value of the car depreciates at a rate of 9.5% per year. Which equation represents the value of the car after 5 years?
ur m
Using an exponential function, it is found that the equation that represents the value of the car after 5 years is:
[tex]A(5) = 21800(0.905)^5 = 13234.25[/tex]
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, the car is purchased for 21,800 dollars, and it's value deprecites 9.5% per year, hence the equation for it's value after t years is given by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = 21800(1 - 0.095)^t[/tex]
[tex]A(t) = 21800(0.905)^t[/tex]
After 5 years, the value is given by:
[tex]A(5) = 21800(0.905)^5 = 13234.25[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
Billy invested $18 of savings in two major business enterprises which paid interest at the rate of 3% and 6%, respectively. If his annual income for these two enterprises was equivalent to a return of 5% on the entire investment, find how much he invested at 3%.
Answer:
$6
Step-by-step explanation:
System of equations
x+y = 18
0.03x+0.06y = 5% of 18 = 0.9
(0.03x+0.06y=0.9)*100 = 3x+6y=90
(3x+6y=90)÷3 = x+2y=30
Substract (1)-(2)
x+2y=30 ... (1)
x+y=18 ... (2)
y=12
x+12=18
x=6
Thanks.
=
Find the area of a circle with a radius of 15 cm. (Use a = 3.14)
The area of the circle is_cm2. Round your solution to the
nearest hundredth, if applicable.
Step-by-step explanation:
Area of a circle = pi x r(squared)
= 3.14 x (15)2
= 3.14 x 225
=706.5cm2
Freida tossed a coin 3 times and it always landed on head. Fine the probability of tossing a head.
Answer: 1/2
Step-by-step explanation: This is a coin. Having heads three times in a row will never change that a coin is two sided and random, meaning it will never affect the coin to always be heads. They were most likely just lucky to get heads all the time. It will always be 1/2 since the coin is inanimate and is not like selecting classmates from a team, it cannot know it's probabilities and affect it. Thus it is 1/2 probability.
This can be simplified in the equation: P(H) = 1/2, P(T) = 1/2, P(H | T) = 1/2