Answer:
It is irrational
Step-by-step explanation:
Rational numbers do not have decimals.
A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 8 ft, find the value of x so that the greatest possible amount of light is admitted.
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.
what does 3 to the -2 power equal
Answer:
[tex]\frac{1}{9}[/tex]
plz help me out with this idk if i did it right<3
Answer:
The first and third ones are correct
Step-by-step explanation:
Hope this helps (:
Answer:
The 4th and 5th one seem to be correct.
Which line of poetry is marked correctly with weak and strong beats?
Answer:
2nd answer
Step-by-step explanation:
It has a lot of strong beats and the rhythm sounds better than A and C.
The formula κ(x)= f′′(x) 1+f′(x)23/2 expresses the curvature of a twice-differentiable plane curve as a function of x. Use this formula to find the curvature function of the following curve. f(x)=−5x2 The curvature function is κ(x)=nothing.
Answer:
K(x) = [tex]\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }[/tex] ( curvature function)
Step-by-step explanation:
considering the Given function
F(x) = [tex]-5x^2[/tex]
first Determine the value of F'(x)
F'(x) = [tex]\frac{d(-5x^2)}{dy}[/tex]
F'(x) = -10x
next we Determine the value of F"(x)
F"(x) = [tex]\frac{d(-10x)}{dy}[/tex]
F" (x) = -10
To find the curvature function we have to insert the values above into the given formula
K(x) [tex]= \frac{|f"(x)|}{[1 +( f'(x)^2)]^{\frac{3}{2} } }[/tex]
K(x) = [tex]\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }[/tex] ( curvature function)
(Will give you alot of points please help ASAP)Are these ratios equivalent?
5 altos for every 4 sopranos
15 altos for every 13 sopranos
Group of answer choices
Yes
No
Answer: No
==================================================
Work Shown:
(5 altos)/(4 sopranos) = (15 altos)/(13 sopranos)
5/4 = 15/13
13*5 = 4*15 .... cross multiply
65 = 60
The last equation is false, so the first equation is false
---------------
Alternative ratio
(5 altos)/(15 altos) = (4 sopranos)/(13 sopranos)
5/15 = 4/13
5*13 = 15*4
65 = 60
We end up with the same false equation
The given values are not in the same proportion.
The ratios are not equivalent.
------------------
Yet another way to look at it
Note the jump from 5 altos to 15 altos is "times 3"
So if we started with 4 sopranos, then we must have 4*3 = 12 sopranos as our next count.
If the second line changed "13 sopranos" to "12 sopranos", then we would have equivalent ratios.
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
i mark as brainliest
Answer:
I want to say 6.75 just because it's to small tho
Step-by-step explanation:
Answer:It's -6.75 because you can see the halfway point and how the dot is closer to -7 than -6 meaning it's bigger than -6.5
Step-by-step explanation:
Your brother asked you to help him build a bookcase for your next-door neighbor. Since he is doing most of the work, you get 3 dollars for every 5 dollars he makes. He got paid 67 dollars. How much did you get paid?
Answer:
So, friend Let me solve the question for you :
let's use disturbutive property
67 x 5 - 67 × 3
67 × (5-3)
67 ×2 = 134
Step-by-step explanation:
Hope it. helps PISas Markbrainliest
Answer:
You got paid $40.20
Step-by-step explanation:
First let's find out how many 5's they gave him:
$67 (brother's money) ÷ 5 = 13.4 (how many times they paid him)
Now we find out how much money they gave you:
$3 (how much they give you) x 13.4 = $40.20 (your total money)
someone help me on 2 and 3 plssssss
Answer:
<MSDBEF
Step-by-step explanation:
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In Carter County, 19% of the population lives in the county seat, while the rest live in the countryside. Suppose 3% of those living in the county seat are selected for ury duty while 4.5% of those living in the countryside are selected for Jury duty. A resident of the county is random y chosen. Let D be the event that the person is selected for ury duty. El be e event that the person is from the county seat, and E2 be the event that the person is from the countryside. Complete parts (a) through (c) below.
a. Find the probability that this person is selected for jury duty Write an equation that models the probability. Choose the correct answer below
OD. P(D) = P(DE)'P(E)
b. The probability is
(Round to three decimal places as needed.) Click to select your answer(s).
Full question attached
Answer and explanation:
Answer and explanation attached
4 km - 280 m
what is the answer
Answer:
Look at step-by-step
Step-by-step explanation:
Either 120 m or 1.2 km
Answer:
3.72 kilometers
Step-by-step explanation:
just subtract man
There are 800 rooms on the Voyager cruise ship, and 60% of them have a balcony. How many of the rooms have a balcony?
Answer:
480
Step-by-step explanation:
BI
Challenge 2
A: Can you find the
area of the circle?
r=x +1
B: Can you find the
circumference of
the circle?
Answer:
Area of the circle = pi * r^2 = pi * (x+1) ^ 2
Circumference of the circle = 2* pi * r = 2*pi*(x+1)
The variables x and y vary directly. Given the equation y = 2x , find the value of x when
y = 10.
Answer:
The variables x and y vary directly. Given the equation y = 2x , find the value of x when
y = 10.
a.
10
c.
20
b.
5
d.
8
Please select the best answer from the choices provided the Answer is B. 5
Step-by-step explanation:
Simplify each of the following powers of i.
i^99
Answer:
i= sqrt (-1)
If the power is
- even then the value could be -1 or 1
-odd then the value could be -i or i
99 is odd so now is
-i if (99+1)/2 is even or is
i is (99+1)/2 is odd
Now check (99+1)/2= 100/2= 50,
50 is even so
i^99 = -i
Step-by-step explanation:
Where is the vertex of f(x) = -2x - 3| +6.4?
10 and 11.Is this relation a function?
у
3
6
7 6 5 4
5
3
2
.
1
.
-2 -1
-1
1 2 3 4
g
6 7
8x
8
-2
-3
Yes, this is a function. It does pass the vertical line test.
No, this is not a function. It does NOT pass the vertical line test.
11
What is the independent variable of the following statement?
Luke
goes to the store to buy some candy, The more money he has, the more candy he will buy.
The amount of candy he buys
The amount of money he has
The store he goes to
The type of money he has
Find Each Sum.
1) (-1)+(-46)=
2) (-30)+10=
3) (-34)+50=
4) 38+(-5)=
Answer:
1 is -47.
2 is -20
3 is 16.
4 is 33.
Step-by-step explanation:
Brainiest?
10. Suppose that we have 50 balls labeled 0 through 49 in a bucket. What is the minimum number of balls that we need to draw to ensure that we get at least 3 balls which end with the same digit
Answer:
21 drawings
Step-by-step explanation:
The number labelings are 0 - 49
The minimum set that could be the same number is the labeling 0, 10 , 20
It could also be 1, 11, 21 or even 2,12,22
In all the cases, we can be sure that we might have three labelings ending with the same number when we pull our ball labeled 20
That makes a total of 21 drawings
Following are the response to the given question:
Pigeon Hole's Principle can also be used to tackle this problem. Assuming that we already have labels ranging from [tex]0\ to\ 49.[/tex]
We possess five balls which conclude with the number 0 [tex]\text{(ball \ 0, ball\ 10, ball\ 20, ball\ 30, and\ ball\ 40)}.[/tex] We possess five balls which conclude with the digit 1[tex]\bold{(ball\ 1, ball\ 11, ball\ 21, ball\ 31, ball\ 41)}.[/tex] .....I have five balls that end in the number 9 [tex]\text{(ball\ 9, ball\ 19, ball\ 29, ball\ 39, and ball\ 49)}.[/tex]Each digit ending is represented by five balls.
In the pigeonhole principle, it [tex]kn+1[/tex] objects [tex](k \geq 1)[/tex] are distributed among n boxes, one of the boxes will contain at least [tex]k+1[/tex] objects. Assume that you draw a ball and place it in a box labeled with its last digit. So there will be n = 10 boxes.
Box 0: we place balls that end in the digit 0. Box 1: we place balls that end in the digit 1. .....Box 9 is where we put balls that end in the number 9.According to the pigeon hole concept, you need to draw [tex]kn+1[/tex] balls to assure that at least one of the boxes includes [tex]k+1[/tex] objects. Because [tex]k+1 = 3,[/tex] we require three objects in at least one box (we need three balls ending with the same digit).
[tex]k + 1 = 3 \\\\k =2[/tex]
Therefore, we have to draw [tex]kn+1[/tex] balls, [tex]k = 2, n = 10[/tex], at least[tex]21\ balls[/tex] must be drawn to ensure that at least three of them have the same 1 digit.
Learn more:
brainly.com/question/10898731
what is the slope of the line shown below?
Answer:
A
Step-by-step explanation:
the answer is A because you can tell the line has a negative slope since its going from left to right rather than right to left and then you do rise/run so the rise=2 and the run=3 so the answer for slope would be -2/3
Answer:
-2/3
Step-by-step explanation:
First you need to find two exact points the use your formula. I used (0,1) and (-3,3).
y2-y1 / x2-x1
Or just use rise over run and count up 2 and across to the left 3 and also realize it's a negative slope going down from the left so your answer will be negative.
I hope I helped you. You can comment if you need anymore help.
John and 3 friends are going out for pizza for lunch. They split one pizza and 4 large drinks. The pizza cost $13.50. They spend a total of $19.90. Find the cost of one large drink.
Complete the point-slope equation of the line through (2,3)(7,4)
y-4=
Write the equation of the line that passes through the given points.
(0,5) and (-2,-4)
Answer:
[tex]y=\frac{9}{2}x+5[/tex]
Step-by-step explanation:
To find the equation of the a line that passes through the two given points, we must first find the slope between the two points. We can do this by using the slope formula. The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where m is the slope and (x₁, y₁) and (x₂, y₂) are two points.
By plugging in (-2, -4) and (0, 5) for (x₁, y₁) and (x₂, y₂) respectively, we get:
[tex]y=\frac{5-(-4)}{0-(-2)}=\frac{9}{2}[/tex]
So the slope is 9/2. Now we that we have found the slope, we can write an equation. Normally, when we are given two points, we would pick one of the points and plug it into the point-slope form and then solve for slope-intercept form. Here, notice that one of the points give, (0, 5), is the y-intercept. Knowing this, we can plug in 5 for the y-intercept into the slope-intercept form to get our equation. Remember, slope-intercept form is:
y = mx + b
where m is the slope and b is the y-intercept.
Pugging in 9/2 for m and 5 for b we get:
[tex]y=\frac{9}{2}x+5[/tex]
which would be our equation.
I hope this helps. Happy studying.
I need help ASAP. thank you in advance!
Answer:
True, depending on where f(x) is located
Step-by-step explanation:
I need help !!!!!!!
Given , KM = 22
Then JL =
This trapezoid is an isosceles trapezoid which means its diagonals will be equal . So ,
KM = JL ( the diagonals in an isosceles trapezoid are congruent )
22 = JL
JL = 22
Therefore , JL = 22 .
Solution (6) :Given , DF = 8.7
Then , EG =
Since this trapezoid is an isosceles trapezoid , its diagonals will be equal . So ,
DF = EG ( the diagonals in an isosceles trapezoid are congruent )
8.7 = EG
EG = 8.7
Therefore , EG = 8.7 .
Your economics instructor assigns you and a student you do not know a joint project. Assume that you and your partner are both interested in maximizing your grade, but you are both very busy and get more happiness if you can get a good grade with less work. Since you do not know the student, making a credible commitment to how much you are going to work is impossible. Note that on the payoff matrix below, 10/10 is happiest and 1/10 is least happy. This level of happiness is a combination of how much you work and the grade you achieve. Assume that you will have to work on only one project with this partner.
You Work Hard Work Less Hard Grade-A, but you had to work 6 hours. Happiness-6/10 [Grade A, and you only worked 2 hours. Happiness-10/10 Your Partner Work Har Grade-A, but your partner had to work 6 hours. Happiness-6/10 Grade-A, but your partner had to work 10 hours. Happiness 4/10 Work Less Hard Grade-A, but you had to work 10 hours. Happiness-3/10 Grade B, but you only worked 4 hours. Happiness 5/10 Grade A, and your partner only worked 2 hours. Happiness-8/10 Grade- B, but your partner only worked 4 hours. Happiness-5/10 In this game, both you and your partner will collectively work a total of hours on the project.
Answer:
can you shorten down the question its too long to understand
Step-by-step explanation:
Please help thank you
Answer:
1/144
Step-by-step explanation:
You multiply the top and bottom by itself because its to the second and you get rid of the negative because negative multiplied by a negative is positive
find the perimeter of a circle whose diameter is 12.6 cm please help and show working don't say that you have it to collect my points
Answer:
C = 39.58cm
Step-by-step explanation:
2 * 3.14159 * 6.3
6.28318 * 6.3
39.584034
Answer:
see below
Step-by-step explanation:
The perimeter of a circle is called the circumference
C = pi *d
C = pi * 12.6
Using 3.14 as ab approximation for pi
C = 3.14 * 12.6
C =39.564 cm
Using the pi button for pi
C =39.58406744
What is the scale factor of AABC to ADEF?
B
72
359
66
E
-35"
A 80°
12
80*
DS
11
42
65"
A. 6
B.
1
2
1
C.
02
D. 2
so we know that the size of the triangle is decreasing witch means that the scale factor is going to be a fraction. to find this fraction you are going to divide the smaller side by the corisponding longer side.
12/72= 1/6
the correct answer is c 1/6
The scale factor of triangles ABC and DEF is 6.
Option A is the correct answer.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object,
We have,
From the triangles,
The ratio of the corresponding sides of the two triangles must be equal.
The value of the ratio is the scale factor.
So,
AB/DE = BC/EF = AC/DF
This can be written as,
72/12 = 66/11 = 42/7
6 = 6 = 6
Thus,
The scale factor of triangles ABC and DEF is 6.
Learn more about scale factors here:
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