A circle is a curve sketched out by a point moving in a plane. The circumference of the ring of fire is 6.2831 meters.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
The circumference of the ring if the radius is 1 meter is,
Circumference of the ring = 2πr = 2 × π × 1 = 6.2831 meters
Hence, the circumference of the ring of fire is 6.2831 meters.
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135 high-school freshmen were interviewed:
35 of them took physical education (P.E.);
42 took BIO (biology);
60 took ENG (English);
10 took P.E. and BIO;
15 took P.E. and ENG;
7 took BIO and ENG; and
5 took all three subjects.
-----
How many students took ENG but neither BIO nor P.E.?
The number of students that took ENG but neither BIO nor P.E is 43.
What is set?A set is a collection of well-defined objects called elements of the given set.
Analysis:
see diagram below
In conclusion, the number of students that took ENG but neither BIO nor P.E is 43
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factor completely
2c^3-22c^2+48c
Answer:
2c(c - 3)(c - 8)
Step-by-step explanation:
Hello!
Factor:
2c³ - 22c² + 48c2c(c² - 11c + 24)Think: What two numbers multiply to 24, and add up to -11?
Answer: -8 and -3
Split up the -11c into -8c and -3c:
2c(c² - 8c - 3c + 24) (factor each pair)2c( c(c - 8) - 3(c - 8)) 2c(c - 3)(c - 8)Write the equation of the line that is perpendicular to the graph of y=1/2x +6, and whose y-intercept is (0,-2).
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}}x+6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so then
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{1}\implies -2}}[/tex]
so we're really looking for the equation of a line whose slope is -2 and passes through (0 , -2)
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad \qquad \stackrel{slope}{m}\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{-2}(x-\stackrel{x_1}{0}) \\\\\\ y+2=-2x\implies y=-2x-2[/tex]
Given . what is limit of f (x) as x approaches negative 1? –2 –1 1 2
The limit of f (x) as x approaches negative 1 is negative 1
How to determine the limit?The function is given as:
f(x) = x
The limit is represented as:
[tex]\lim_{x \to -1} f(x)[/tex]
Rewrite as:
[tex]\lim_{x \to -1} f(x)=x[/tex]
Substitute -1 for x
[tex]\lim_{x \to -1} f(-1)=-1[/tex]
So, we have:
As x approaches negative 1,f(x) approaches negative 1
Hence, t
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Given a+b=7 and a-b=3, find the following.
2^a*2^b
Answer:
a = 5
b = 2
Step-by-step explanation:
You can use system of equations on this.
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
x>10
Step-by-step explanation:
Think of the < and > signs as arrow marks
Whichever direction the arrows pointing, that's where you should plot.
The line graph shown goes rightwards, so use the sign that looks like it's pointing right. (>)
Finally, don't use the greater than or equal to sign because the circle isn't colored in. This means that it doesn't include 10, only numbers higher than 10.
f a seed is planted, it has a 85% chance of growing into a healthy plant. If 9 seeds are planted, what is the probability that exactly 1 doesn't grow?
The probability that exactly 1 doesn't grow will be 0.07
What is Probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
We can use Bernoulli estimation to solve this. P(g) = 0.85, probability of not growing into healthy plant P(n) = 1-P(g) = 1 - 0.85 = 0.15
Using the Bernoulli approximation:
P(n=1)=⁹C₁xP(n)¹.⁵xP(g)⁸.⁵
P(n=1)=9x0.15¹.⁵x0.8⁸.⁵
P(n=1)=0.07
Hence the probability that exactly 1 doesn't grow will be 0.07
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26. About 1.48 x 108 square kilometers of Earth's surface
is land; the rest, about 3.63 x 108 square kilometers, is
water. If a returning space capsule lands at a random
point on Earth's surface, which of the following is the
best estimate of the probability that the space capsule
will land in water?
F. 80%
G. 71%
H. 65%
J. 41%
K. 29%
Answer:
[tex]P=0.71[/tex] or 71%
Explanation:
[tex]P=\frac{3.63*10^2}{1.48*10^8+3.63*10^8}[/tex]
[tex]=\frac{3.63}{5.11} =0.71[/tex] or 71%
ok ok ok ok ok ok ok
Answer:
3: equally likely
4: likely
Step-by-step explanation:
Question 3:
the spinner has 1, 2, 3, 4, 5, 6
2, 4, 6 are all even number which is 3 / 6 = 1 / 2
so half a chance can be odd or half even possibility of landing
Question 4:
- 13 yellow
- 4 green
- 3 blue
total marbles: 13 + 4 + 3 = 20
yellow / total = 13 / 20
which is more than half of the marbles are yellow
D
(9x -31)
=-2)
+33)
E
ZDCE=
Blank 1:
Answer:
x = 6 [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
From what I think the equation is, I got x = 6 [tex]\frac{8}{9}[/tex]
C/2 + 5 = 1
Answer Please
Answer: c= -8
Step-by-step explanation:
c/2=-4
-8/2=-4
-4 +5=1
3 . Which graph represents a function?
Answer:
There is no graph....
Step-by-step explanation:
But I believe this is the graph you are talking about
Therefor Graph D represents a function.
a y
Which is the graph of
12
a.
c.
5
3
2
2
1+
1+
A+
-5 4 -3 -21
7
1 2 3
4 5
1
5
- -2
חס
1
-1
-2 +
-2+
-3+
3
4
-5
d.
b.
5
4
4
3
Next
Submit
Save and Exit
Mark this and return
Step-by-step explanation:
we don't see all answer options.
but I am sure it must be b.
simply because the right graph shows that the curve goes through
(4, 0) and (-4, 0)
and
(0, 3) and (0, -3)
but if I am mistaken about b showing that, please pick the graph that shows this.
the reason is to think when is the x term being 1, when y = 0, and when is the y term being 1, when x = 0.
these are some "cornerstones" for the graph based on the functional definition.
and the answers are the points listed above.
need help with all of these questions you see on the top. there the red squares. please someone smart. this is one of the problems I need to finish this tonight.
Let's consider the information given:
Volume: 678.24 yd³radius: 6 yd[tex]\pi[/tex] = 3.14Let's consider what we want to find:
HeightLet's consider how the: ⇒ volume, radius, height ⇒ are related
[tex]Volume = \pi *(radius)^2*height[/tex]
Let's Solve:
[tex]678.24=3.14 *(6)^2*height\\height=6_.yd[/tex]
Answer: 6 yd
Hope that helps!
The money collected from selling bacon at a butcher store is given by the function f(x) = 3.55x – 4, where f(x) is the sales revenue in dollars and x is the number of customers visiting the store each day. If {17, 21, 24, 34} customers visited over four days, what is the income from bacon sales each day?
Answer:
See below under "Explanation".
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle f(x) = 3.55x - 4[/tex]
[tex]\displaystyle x = \{ 17, 21, 24, 34 \}[/tex]
Step 2: Find Profit
To find the profit the store makes each day, we input the number of customers that visited the store each day into our given function:
For the day that had 17 customers:
[tex]\displaystyle\begin{aligned}f(17) & = 3.55(17) - 4 \\& = 60.35 - 4 \\& = \boxed{56.35} \\\end{aligned}[/tex]
∴ the butcher store made $56.35 when 17 customers visited the store.
For the day that had 21 customers:
[tex]\displaystyle\begin{aligned}f(21) & = 3.55(21) - 4 \\& = 74.55 - 4 \\& = \boxed{70.55} \\\end{aligned}[/tex]
∴ the butcher store made $70.55 when 21 customers visited the store.
For the day that had 24 customers:
[tex]\displaystyle\begin{aligned}f(24) & = 3.55(24) - 4 \\& = 85.2 - 4 \\& = \boxed{81.2} \\\end{aligned}[/tex]
∴ the butcher store made $81.20 when 24 customers visited the store.
For the day that had 34 customers:
[tex]\displaystyle\begin{aligned}f(34) & = 3.55(34) - 4 \\& = 120.7 - 4 \\& = \boxed{116.7} \\\end{aligned}[/tex]
∴ the butcher store made $116.70 when 34 customers visited the store.
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Topic: Algebra I
deviation = ((absolute value of the difference between expected heads and observed heads) + (absolute value of the difference between expected tails and observed tails)) divided by total number of tosses. This value should always be positive.
1. In tossing one coin 10 times, what are your chances for tossing a head? a tail?: When I tossed one coin 10 times, I got heads 4 times and I got tails 6 times.
2. In tossing one coin 100 times, what are your chances for tossing a head? a tail?: I got heads 55 times and tails 45 times when I tossed one coin 100 times.
3. In tossing one coin 200 times, what are your chances for tossing a head? a tail?: When I flipped one 200 times, I got heads 92 times, and tails 108 times.
4. What is the deviation for 10 tosses?: 0.1
5. What is the deviation for the 100 tosses?
6. What is the deviation for 200 tosses?
7. How does increasing the total number of coin tosses from 10 to 100 affect the deviation?
8. How does increasing the total number of tosses from 100 to 200 affect the deviation?
When a coin is tossed ten times, the probability of getting a head will be 1/2.
How to solve the probability?In probability, one can either get a head or a tail. Therefore, when a coin is tossed ten times the probability of tossing a head will be:
= 5/10 = 1/2
In tossing one coin 100 times, the chances for tossing a head will be:
= 1/2 × 100 = 50
In tossing one coin 200 times, the chances for tossing a head will be:
= 1/2 × 200
= 100
In conclusion, the deviation for 10 tosses is 0.1
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Determine the exact value for each of the 6 trig functions for the point (-2, 6).
Answer:
Sine: 0.94
Cosine: -0.31
Cotangent: -0.3(infinite)
Cosecant: 1.05
Tangent: -3
Secant: -3.16
Formula for finding the 6 trigonometry functions
To find the sine, you must divide the opposite side by the hypotenuse, because the sine is the ratio or fraction whose angle is opposite to the adjacent angle.To find a cosine, you must divide the adjacent angle by the hypotenuse.When finding a cotangent, you must divide the adjacent angle by the opposite, since the cotangent is also a ratio, but not like a sine.When you are finding a cosecant, you divide the hypotenuse by the opposite angle.You find the tangent by diving the opposite angle by the adjacent angle. It is like finding the cotangent but backwards.Last but not least, the secant. You find the secant by dividing the hypotenuse by the adjacent angle.Finding opposite and adjacent angles
To find the opposite angle, one simple way to determine that is to find the opposite side to that angle you are trying to find. For instance, when finding an angle, one side is 200, the adjacent side is 500. We must divide the opposite angle by the adjacent angle to find the missing angle. 200/500 = 0.4, so the missing angle is 0.4.To find the adjacent angle, that is always the side right next to a given angle.Hope this helps!
Step-by-step explanation:
The six trig functions are
[tex] \sin( \alpha ) = \frac{y}{r} [/tex]
[tex] \cos( \alpha ) = \frac{x}{r} [/tex]
[tex] \tan( \alpha ) = \frac{y}{x} [/tex]
[tex] \csc( \alpha ) = \frac{r}{y} [/tex]
[tex] \sec( \alpha ) = \frac{r}{x} [/tex]
[tex] \cot( \alpha ) = \frac{x}{y} [/tex]
Where
[tex]r = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
[tex]r = \sqrt{ - 2 {}^{2} + {6}^{2} } [/tex]
[tex]r = \sqrt{40} [/tex]
[tex]r = 2 \sqrt{10} [/tex]
So we just plug in -2 for x, 6 for y, and our r value into these functions.
[tex] \sin( \alpha ) = \frac{6}{2 \sqrt{10} } = \frac{3}{ \sqrt{10} } = \frac{3 \sqrt{10} }{10} [/tex]
[tex] \cos( \alpha ) = \frac{ - 2}{2 \sqrt{10} } = \frac{ - 1}{ \sqrt{10} } = \frac{ - \sqrt{10} }{10} [/tex]
[tex] \tan( \alpha ) = \frac{6}{ - 2} = - 3[/tex]
Csc is the reciprocal of sine.
[tex] \csc( \alpha ) = \frac{ \sqrt{10} }{3} [/tex]
Sec is the reciprocal of cosine
[tex] \sec( \alpha ) = - \sqrt{10} [/tex]
Cot is the reciprocal of tan
[tex] \cot( \alpha ) = - \frac{1}{3} [/tex]
A book rests on a table. The force of gravity pulls down on the book with a force of 25 newtons. What prevents the book from accelerating downward at 9. 8 m/s2?.
Answer:
the table is pressing back on the boom with its own force which is greater than gravity
guys help how do i do fings like
63+__=100
I did this 6+_=10 and it’s 4
And 3 + _=0 abs it’s 3 so I thought it was 43 but it’s wrong help
Answer:
63+37=100 there you go
that the answer
Answer:
37
Step-by-step explanation:
To find out what the missing number is, you can subtract the known number (63) from the sum (100). 100 - 63 = 37.
Find the volume of the sphere.
Answer:
V = 4/3 πr³
Step-by-step explanation:
Find the volume of the sphere
since there is no data, I mean you are looking for the formulaThe formula for the volume of a sphere is V = 4/3 πr³.
Answer:
volume of sphere is the capacity it has. It is the space occupied by the sphere. The volume of sphere is measured in cubic units, such as m3, cm3, in3,
Hyla has blocks of clay that are each 4 centimeters by 4 centimeters by 2 centimeters. She needs to cover the bottom of a box with a 2-centimeter tall layer of clay. The bottom of the box is 24 centimeters long and 20 centimeters wide. How many blocks of clay does Hyla need?
The number of blocks of clay needed by Hyla is 30 blocks
What is area?Area is the region bounded by a plane shape.
To calculate the number of blocks of clay needed by Hyla, we find the area of the bottom of the box and divide it by the area of the block.
Formula:
n = LWH/lwh............... Equation 1Where:
n = Number of blocks of clay needed by HylaL = Length of the bottom of the boxW = Width of the bottom of the boxH = Height of the boxl = Length of the bottom of the blockw = Width of the blockh = Height of the block.From the question,
Given:
L = 24 cmW = 20 cmH = 2 cml = 4 cmw = 4 cmh = 2cmSubstitute these values into equation 1
n = (24×20×2)/(4×4×2)n = 30Hence, The number of blocks of clay needed by Hyla is 30 blocks
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The village basket shop has two types of basket available.One type holds 2 meals and one holds 4 meals.There are 25 basket in the shop, and they can hold a total of 70 meals How many baskets are there that hold 4 meals? help me ASAP
Using a system of equations, it is found that there are 10 baskets that hold 4 meals in the shop.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given by:
Variable x: Number of baskets that hold 2 meals.Variable y: Number of baskets that hold 4 meals.There are 25 baskets in the shop, hence:
x + y = 25 -> x = 25 - y
They can hold a total of 70 meals, hence:
2x + 4y = 70
2(25 - y) + 4y = 70
2y = 20
y = 10
There are 10 baskets that hold 4 meals in the shop.
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How do you show this on a graph?
Find the volume of the following figure using unit cubes.
A.23 units3
B.25 units3
C.27 units3
D.none above
A pedestrian sees a cat stuck in the tree that is 40.4 feet tall and calls 911. A fire truck
arrives and sends a fireman up in a rescue lift to save the cat. If the rescue lift is ascending at
a 45° angle of elevation, how far must the rescue bucket reach to save the cat?
Answer:
the cat should be about 6 or 7 inches away
Step-by-step explanation:
I'm sorry if I was wrong I hope I help
Answer:
57.3 feet
Step-by-step explanation:
Make a right angle triangle. Angle is 45 degrees
hight is 40.4 which is opposite to this angle, that means it's opposite side. And the distance of the bucket to rescue cat is hypotenuse, that's what we are looking for.
apply trig ratio
Sinθ = opposite leg/ hypotenuse
[tex] \sin( 45) = \frac{40.4}{x} \\ x = \ \frac{40.4}{ \sin(45) } \\ x = 57.275 \\ x = 57.3[/tex]
If f(x) = x and g(x) = 2, what is (f•g)(x)?
Answer:
(f•g)(x) = (x)(2) = 2x
Step-by-step explanation:
(f•g)(x) is the "product" of functions f and g:
(f•g)(x) = (x)(2) = 2x
I need help to understand Prime Factorization and Exponents
2 × 2 × 13 × 13 × 17 = 2x × 13y × 17z where x=____ , y=____ , z=____
Answer:
x = 2, y = 13, z = 1
Step-by-step explanation:
2 * 2 * 13 * 13 * 17 is equal to 2x * 13y * 17z.
knowing that 2x = 2 * x
therefore
2 * 2 * 13 * 13 * 17 * 1
2 * x * 13 * y * 17 * z
meaning that
x = 2, y = 13, z = 1
calculate the 12% simple interest of R10000 in a year
Answer:1.4.
Step-by-step explanation:
Jill is weighing between two job offers. Job offer 1, would pay her a base salary of
$58,000 with an increase of $3,000 per year. Job offer 2, would pay $53,000 with an
increase of $3500 per year. At which year would both jobs have an equal pay? (Note that
it would only happen at that year)
Answer:
a 230 metersa 230 metersa 230 metersa 230 metersa 230 metersa 230 metersa 230 meters
How much profit did jamie make if he sold 87tickets for his treasure when he changes r 2.00 per entry and all the prizes have cost him a total of r 69.80
Answer:
r 104.20
Step-by-step explanation:
87tickets x r 2.00 = 174
174 - 69.80 = r 104.20