Answer: x = 2
If x is the width of the window, the value for x that results in the greatest area-- presumably admitting the greatest amount of light.
Step-by-step explanation:
Initial calculations to find a starting value for w.
Determine dimensions that will have a sum of 8 as the perimeter. The length of the arc plus three sides of the rectangle.
The length of the arc is half the circumference of the circle, the width is the diameter. So, modifying the equation: C= πd, a = πw/2
Three sides of a rectangle (presumably a square for the initial calculation) 3w
Initial equation: 3w + πw/2 = 8 Substitute 3.14 for π and solve for w
2(3w) + 2(3.14w/2) = 2(8) multiply all terms by 2 to eliminate denominator
6w + 3.14w = 16 combine like terms
9.14w = 16 divide both sides by 9.14
w ≈ 1.75
Calculate the area using this value:
Area of semicircle: πr²/2 r= 1.75/2
3.14(.875)²/2 ≈ 1.203
Area of rectangle 1.75 × 1.75 = 3.0625
Total Area with width 1.75 : 4.265 ft²
Increasing the width to 2
The length of the arc becomes 3.14 This is twice the area of the semicircle.
3.14/2 = 1.57
The height of the rectangle reduces to 1.43
1.43 × 2 = 2.86
Total area with width of 2 ft 2.86 + 1.57 = 4.43 ft²
So 2 ft seems to be the optimal width.
If P(E)=0,40,P(E or F)=0.55, and P/E and F)=0.20, find P(F).
P(F)-(Simplify your answer.)
Answer:
screeeeeeeeeeredc vbggrewdsc
Step-by-step explanation:cdscx de2wqsax
wewdsnswercwdsx
==================================
Work Shown:
P(E or F) = P(E) + P(F) - P(E and F)
0.55 = 0.40 + P(F) - 0.20
0.55 = P(F) + 0.20
P(F) + 0.20 = 0.55
P(F) = 0.55 - 0.20
P(F) = 0.35
---------
note: Sometimes you may see the formula as
P(E and F) = P(E) + P(F) - P(E or F)
but it's an equivalent form to the first equation above.
The volleyball team and the wrestling team at Stamford High School are having a joint car wash today,
and they are splitting the revenues. The volleyball team gets $5 per car. In addition, they have already
brought in $50 from past fundraisers. The wrestling team has raised $94 in the past, and they are
making $1 per car today. After washing a certain number of cars together, each team will have raised the
same amount in total. What will that total be? How many cars will that take?
PLEASE SHOW WORK THANK YOU
Answer:
Money raised by each team = 94 + 11 = $105
Number of cars washed = 11
Step-by-step explanation:
Money already present with volleyball team = $50
Money raised by washing each car by volleyball team = $5
Let the number of cars washed = [tex]x[/tex]
Money raised by washing cars = $5[tex]x[/tex]
Money already present with volleyball team = $94
Money raised by washing each car by volleyball team = $1
Money raised by washing cars = $1[tex]x[/tex] = $[tex]x[/tex]
Given that, both the teams have raised same amount of money:
[tex]50+5x=94+x\\\Rightarrow 44=4x\\\Rightarrow x=11[/tex]
Money raised by each team = 94 + 11 = $105
Number of cars washed = 11
Hello please help will give brainliest!
Answer:
the answer is A hope it helps: )
Answer:
A
Step-by-step explanation:
I had this question on a practice test, it's correct.
Find the slope of the line that passes through (-5,-6), (-14,10)
Answer:
[tex]m=-\frac{4}{3}[/tex]
Step-by-step explanation:
Formula
[tex]m=\frac{rise}{run}=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
Solve
[tex]m=\frac{10+6}{-14+5}=\frac{16}{-9}=-\frac{4}{3}[/tex]
Answer:
Step-by-step explanation:
A=(-5, -6) = (x1 , y1)
B= (-14, 10)= (x2 , y2)
slope= y2 - y1/ x2- x1
=10+6/ -14+5
= 16/ -9
= 4 / -3
Three high school participated in a study to evaluate the effectiveness of a new computer-based mathematics curriculum. Four 24-student sections of freshman algebra were available for the study. The two types of instruction (standard curriculum, computer-based curriculum) were randomly assigned to the four sections in each of the three schools. At the end of the term, a standard mathematics achievement test was given to each of the 24 students in each section.
a. Is this study experimental, observational, or mixed experimental and observational? Why?
b. Identify important factors, factor levels, and/or factor-level combinations.
c. Classify these factors as within- or between-subjects
d. what’s the dependent measures?
e. What is the basic experiment unit of study?
Answer:
A) experimental
B) The important factors are : Type of instruction, scores and High schools,
The factor levels are :
Level -1 which comprises of 3 highschool,
Level -2 which comprises of highschool and the highschool has 4 sections and each section has 24 students
Factor level combinations:
Level 1 : computer and standard based combination
C) Within the subject : 24 students
Between subject : High school
D) score of the test
E) student
Step-by-step explanation:
A) The study is experimental because of the random assignment of two different types of instruction to the students which will control/affect the technique of teaching without just observing the performance of the students from the side
B) The important factors are : Type of instruction, scores and High schools,
The factor levels are :
Level -1 which comprises of 3 highschool,
Level -2 which comprises of highschool and the highschool has 4 sections and each section has 24 students
Factor level combinations:
Level 1 : computer and standard based combination
C) Within the subject : 24 students
Between subject : High school
D) The dependent measure is the score of the test
E) The basic experiment unit of the study is : student
Check the statements that are true.
A. An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers.
B. A geometric sequence is a linear function whose domain is restricted to the set of non-negative integers.
C. An arithmetic sequence is an exponential function whose domain is restricted to the set of non-negative integers.
D. A geometric sequence is an exponential function whose domain is restricted to the set of non-negative integers.
Answer:
A and D.
Step-by-step explanation:
A sequence is a set of the objects or numbers in a specific order. It is a function whose domain is a set of natural numbers or non-negative integers i.e. {1, 2, 3,..}
(A)
"An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers."
The general form an arithmetic sequence is:
[tex]a_{n}=a_{1}+(n-1)d[/tex]
The function is linear. The sequence consists of either numbers that are increasing or decreasing based on the value of d, the common difference.
So, the statement provided is True.
(D)
"A geometric sequence is an exponential function whose domain is restricted to the set of non-negative integers."
The general form an geometric sequence is:
[tex]a_{n}=a_{1}\cdot r^{n-1}[/tex]
The function is exponential. The sequence consists of either numbers that are exponentially increasing or decreasing by the factor r, the common ratio.
So, the statement provided is True.
A rectangle has side lengths 6 cm and 9 cm. What would the side lengths of the image be after a dilation of 2.25? Explain your reasoning.
Answer:
The side lengths of the image after the dilation = 13.5 cm and 20.25cm
Step-by-step explanation:
A rectangle has side lengths 6 cm and 9 cm. What would the side lengths of the image be after a dilation of 2.25? Explain your reasoning.
Dilation can also be referred to as scale factor
6cm × 2.25 = 13.5 cm
9 cm × 2.25 = 20.25 cm
The side lengths of the image after the dilation = 13.5 cm and 20.25cm
what is the values if 5 in 52105
Answer:
5 is equal to 50000 and 5 is equal to 5
Step-by-step explanation:
Help! Please. I don’t know what to do. I got this wrong. Thanks.
Answer: I believe the answer would be 1/9 ?
what is the measure of CAB?
∠CAB and the angle above it whose measure is 84° are vertically opposite angles , which means their measure will be equal .
∴ The measure of angle CAB = 84°By the definition of vertically opposite angle, Measure of an angle CAB is, 84°.
What are Parallel lines?Parallel lines are those lines that are equidistance from each other and never intersect each other.
We know that;
The vertically opposite angles are equal to each other.
Here, ∠CAB and the angle above it whose measure is 84° are vertically opposite angles.
Hence, Measure of ∠CAB = 84°
Learn more about the parallel line visit:
brainly.com/question/30195834
#SPJ2
what is the most frequently occurring value in a set
Answer:
mode
Step-by-step explanation:
in statistics, the mode is the most commonly observed value in a set.
Answer:
Mode
Step-by-step explanation:
Mode is the value that is shown most frequently in a set.
What is 2x^2-x-1 in factored form?
Answer:
2x^2-x-1 = (2x+1)(x-1)
Answer:
(2x+1)(x−1)
Step-by-step explanation:
I hope it is right
a diver descended 84 feet in 6 minutes. What was the divers change in depth per minute? Write and expression with a solution
Answer:
14 depth per minute
Step-by-step explanation:
84/6 = 14
Drove 260 km using 12 liters of gas at this rate how many liters of gas would he need to drive 286km
Answer:
We calculate the amount of gas used per km and multiply it by 286
Step-by-step explanation:
If we drive for 260km and use 12 litres of gas that means that we use
[tex]\frac{12}{260}[/tex] litres per km.
Now we multiply it by 286:
[tex]\frac{12}{260} *286 = \frac{858}{65} = 13.2[/tex]
So, the answer is 13.2 litres.
A pice of lumber 2 1/4 feet long is to be cut into 3 equal pieces. How long will each piece be? Give the measurements in feet and inches.
Answer: The required length of each piece of wood is or 9 inches.
Step-by-step explanation: Given that a piece of lumber is feet long is to be cut into 3 equal pieces.
We are to find the length of each piece of wood in feet and in inches.
We will be using the UNITARY method to solve the given problem.
The length of 3 pieces of wood is equal to
Therefore, the length of each piece of wood will be
Thus, the required length of each piece of wood is or 9 inches.
What’s the slope of (-8,2) (1,9)
Step-by-step explanation:
equation of the line passing through two points
x-x1/x2-x1=y-y1/y2-y1
x-(-8)/1-(-8)=y-2/9-2
x+8/9=y-2/7
7x+56=9y-18
9y=7x+56+18
y=7/9x+74/9
y=mx+b m is the slope
so m=7/9
there is a short way showing slope shown in the picture
Write the multiple regression equation for miles per gallon as the response variable. Use weight and horsepower as predictor variables. See Step 5 in the Python script. How might the car rental company use this model
Answer:
Step-by-step explanation:
Response Variable: Miles per gallon
Predictor Variables: Weight, Horsepower
The multiple regression equation would be: M = aW + bH + c
where M = miles per gallon
a = slope of the graph of W on M OR rate of change in M due to change in W
W = weight
b = slope of the graph of H on M OR rate of change in M due to change in H
H = horsepower
c = intercept of M on the y-axis OR constant variable
How might the car rental company use this model?
The car rental company might use the regression model to determine the following:
- Effect of weight (of car) on miles run per gallon (of premium motor spirit)
- Effect of horsepower on miles per gallon; etc.
If f(x)=x^2 and g(x) =3x-1 find [g • f](x)
Answer:
3x²-1
Step-by-step explanation:
f(x) = x²
g(x) = 3x-1
[g·f](x)
g(f(x))
3(x²)-1
Which point best represents v10 ?
That would be Q my dude.
Hope this helps
The formula for the area of a triangle is A = Abh, but...
Answer:
But....
Area of triangle = 1/2 × base / height.
FOLLOW ME
Answer:
area = base * height divided by 2
Step-by-step explanation:
A triangle is basically half a square, so you divide it by 2 after you multiply the base and height
Solve c = 1/2ab² for b.
Answer:
b²=√(2c/a)
Step-by-step explanation:
c=1/2ab²
1/2ab²=c
ab²=2c
b²=2c/a
b²=√(2c/a)
GET AN EASY BRAINLIEST FIRST RIGHT GETS BRAINLIEST
Answer:
5
Step-by-step explanation:
5-9=(-4)
hope this helps :3
Answer:
Can i get a brainliest please? :·3
Step-by-step explanation:
I wasn't here on time
PD: anyone play clash of clans?
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convert 565900 seconds into days
Answer:
1 day = 86400 seconds
565900 divided by 86400 =
Step-by-step explanation:
a little more than 6 days
plz mark brainliest
A number, n, is greater than -4 and less than or equal to 6.
Answer:
-3-,2,-1,0,1,2,3,4,5
Step-by-step explanation:
-4<n<6
Simplify
square root of -44
Answer: 6.63324958 i
Answer 2: 2i√11
Help me if you can I would appreciate it thx
Answer: For the first one its J
The second one its H
Step-by-step explanation:
what is 1 1/5 x 3/5
Answer:
Okay so you mean one then 1/5 a fraction times 3/5 if so that means that
Exact Form: 18/25
Decimal Form: 0.72
18/25 is the simplest form by the way
Welcome!
The largest angle formed during his trip is_____. At his home. At the mall. Between the mall and the library. Between his home and the library.
Answer:
B. "at the mall"
Step-by-step explanation:
EDU 2020
Answer:b
Step-by-step explanation:
Determine the number that can be used in place of the question mark to make the
equation true.
3^? = 27
Answer:
3
Step-by-step explanation:
You just divide 27 by 3, then divide that answer by 3, and keep doing that until you get to 1:
27/3
9
9/3
3
3/3
1
3^x = 27
3^3 = 27
3 x 3 x 3 = 27
9 x 3 = 27
27 =27
an object is thrown upward at a speed of 74 feet per second by a machine from a height of 18 feet off the ground. The height h of the object after t seconds can be found using the equation h=-16t^2+74t+18
Answer:
First part:
Set h(t) = 73 and solve for t.
-16t2 + 64t + 16 = 73
-16t2 + 64t - 57 = 0
Solve this quadratic equation for t. You should get 2 positive solutions. The lower value is the time to reach 73 on the way up, and the higher value is the time to reach 73 again, on the way down.
Second part:
Set h(t) = 0 and solve the resulting quadratic equation for t. You should get a negative solution (which you can discard), and a positive solution. The latter is your answer.
Step-by-step explanation: