Answer:
A ≈ 380.13in²
Or A= 379.94in²
Step-by-step explanation:
Formula for area:
A = π r²
A=π ·11² ≈ 380.13in²
If π is used as 3.14 then
A=3.14·11² = 379.94
X=-2.
ㄱ
f(x) = 2x-2+5
Step-by-step explanation:
from,
f (x) = 2x-2+5
BUT x=-2
f (x) = 2 (-2)-2+5
= -4-2+5
= -6+5
= -1
so,
f (x) = -1
One part of Clare’s job at an environmental awareness organization is to answer the phone to collect donations. The table shows the number of hours she worked each week, \small x, and the amount of donations in dollars, \small y, that the organization collected each week for 10 weeks. The data in the scatter plot suggest a linear association. A line to model the data is given by \small y=12x+41.
Describe the correlation between the variables as either strong or weak and as either positive or negative. Explain your reasoning.
Answer:
The more hours she worked the more donations she would receive.
Step-by-step explanation:
In the chart the higher the number of how many hours she worked resulted in a higher amount of donations
The association between the variables is strong and positive.
The equation of a straight line is given by y = mx + c. can easily make use of a regression line to ascertain the nature of the relationship between two variables as we can see in the graph shown in the question.
From the graph shown in the question, it is easy to ascertain that the association between the variables is strong and positive. The association is strong because the points lie together and positive because the plot increases linearly.
Learn more about association of variable: https://brainly.com/question/2426761
The weighted voting systems for the voters A, B, C, ... are given in the form q: w1, w2, w3, w4, ..., wn . The weight of voter A is w1, the weight of voter B is w2, the weight of voter C is w3, and so on. Calculate, if possible, the Banzhaf power index for each voter. Round to the nearest hundredth. (If not possible, enter IMPOSSIBLE.) {76: 52, 39, 31, 25, 9}
Answer:
Banzhaf power index for each voter
Voter A = 3/4 = 0.75
Voter B = 0/4 = impossible
Voter C = 1/4 = 0.25
Step-by-step explanation:
using the Banzhaf power index for each voter
{76: 52, 39, 31, 25, 9}
Voter A = 52
Voter B = 39
Voter C = 31
Voter D = 25
Voter E = 9
lets calculate the Banzhaf power index for Voters A to C
A B = 52 + 39 ≥ 76
B C = 39 + 31 ≤ 76
A C = 52 + 31 ≥ 76
A B C = 52 + 39 + 31 ≥ 76
Lets consider critical
A B : A is critical because without A the sum < 76
B C : B is not critical because without B the sum is still < 76
A C : C is critical because without C the sum < 76
A B C : A is critical as B + C < 76
B is not critical as A + C ≥ 76
C is not critical as A + B ≥ 76
Number of times critical : For A = 3, For B = 0 , For C = 1
Banzhaf power index for each voter
Voter A = 3/4 = 0.75
Voter B = 0/4 = impossible
Voter C = 1/4 = 0.25
The difference between five halves of a number and 17 is 48
Answer:
let the number be X
it's five Half's = 5/2×x
by the condition
5/2x-17 =48
X = 48×-85/2
X = 24 × -85
If the difference between five halves of a number and 17 is 48 then the number is 26.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, The difference between five halves of a number and 17 is 48.
Assuming the number to be 'n'.
∴ (5/2)x - 17 = 48.
5x - 34 = 96.
5x = 130.
x = 26.
learn more about numerical expressions here :
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I need help on this one please
Answer:
here is what i think
Michael bought 4 types of fruit to make a fruit salad. He paid $3.00 per pound of apples, $2.00 per pound for bananas, $2.50 per pound for grapes, and $3.50 per pound for blackberries.
He bought the same number of pounds of each fruit. Let the number of pounds be represented by the variable x.
Michael figured out the total amount of money that he spent on fruit can be shown using the expression 3x+2x+2.50x+3.50x
Which expression shows how Michael’s expression can be written in an equivalent single term?
A. (2+2.50)(3+3.50)x
B. (2+3+2.50+3.50)x
C. (2) (3) (2.50) (3.50)x
D. (2) (3)x+(2.50) (3.50)x
Answer:
C
Step-by-step explanation:
you can add like terms so C is the correct answer
Answer:
hi how are you doing today Jasmine
Which phrase does not describe a rational number?
Select one:
repeating decimal
integer number
terminating decimal
О
non-repeating, non-terminating decimal
========================================================
Explanation:
Any rational number is of the form p/q, where p and q are integers and q is nonzero. So basically it's any fraction you can think of.
If a decimal terminates (ie stops) then it is a rational number.
For instance, 0.9 = 9/10 is rational
If a decimal repeats in some way, then it is rational
Eg: 0.0833333.... = 1/12
The dots after the 3 indicate the 3's go on forever.
So far, the facts mentioned allow us to rule out choices A and C. Choice B can be ruled out as well because any integer is always rational. We can easily prove it as such by writing the integer x as x/1.
A more concrete example could be writing the integer 7 as 7/1. So this shows 7 is rational and any integer is rational. Simply stick the integer over 1.
The only thing left at this point is choice D. Any non-repeating non-terminating decimal will be irrational. An example would be pi = 3.14159... which goes on forever without a pattern that repeats. Effectively the decimal digits of pi are more or less random. An irrational number is one that is not rational, and therefore cannot be written as a ratio of two integers.
Please help due in 5 min
Duval went to bat 80 times during a baseball season. In the first half of the season he had 15 hits. In the second half of the season he had 9 hits. Which percent of the time did Duval get a hit during the entire season?
A. 24%
B. 30%
C. 44%
D. 60%
PLEASE show work
Answer:
B. 30 Percent
15+9=24
24/80=30 Percent
Step-by-step explanation:
Someone please help I’ve been spamming on this and no one has helped yet so please
Answer:
The value of x would 12.2.
Step-by-step explanation:
You have to use the pythagorean theorem to solve this.
a = 5.85 (11.7/2)
b = what we are trying to find
c = 13.5
[tex]\sqrt{13.5^{2} - 5.85^{2} }[/tex] = 12.1666 which rounds to 12.2
I hope this helps, I apologize if it isn't right.
Which event has theoretical probability of exactly 1/5 select three options
The spinner is divided into 10 equal sections.
Which event has theoretical probability of exactly 1/5? Select three options.
A) spinning a number less than 3
B) spinning a 4 or 5
C) spinning an odd number
D) spinning a number greater than 8
E) spinning a number less than 8
Answer:
Options A, B & D are correct
Step-by-step explanation:
From the image attached, we can see that the total number on the spinner is 10.
Now, we want to find which event has theoretical probability of exactly 1/5
Option A: spinning a number less than 3 means we get 1 or 2 which is 2 numbers.
Thus; probability = 2/10 = 1/5.
This option is true
Option B: spinning a 4 or 5 means 2 numbers.
Thus; probability = 2/10 = 1/5.
This option is true
Option C: Odd numbers in the spin are 1,3,5,7,9. This is a total of 5 numbers.
Thus, probability = 5/10 = 1/2
This option is wrong.
Option D: Numbers greater that 8 are 9 & 10. That's 2 numbers.
Thus, probability = 2/10 = 1/5
This option is correct
Option E: numbers less than 8 are;
1,2,3,4,5,6,7. That's a total of 7 numbers.
Probability = 7/10
Thus, this option is wrong.
Answer: A, B, D
Step-by-step explanation:
A fencewill go around a circular Garden. The radius of the garden is 29 feet what length of fence is needed
Answer: 58π = 182. 21 feet
Step-by-step explanation:
Circumfrence is kinda like the perimeter of the circle and we need to use the cirucumfrence formula 2πr to solve for the length of fence needed.
2π(29) = 58π = 182. 21 feet
true or false , the best way to represent all the solutions to a linear inequality is to graph a single line through the x intercept and y intercept where neither side of the line is shaded
Please help me find the line of the line showed
Answer:
[tex]m=\frac{1}{6}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-5, -4)
Point (1, -3)
Step 2: Find slope m
Substitute: [tex]m=\frac{-3+4}{1+5}[/tex]Add: [tex]m=\frac{1}{6}[/tex]What is the Additive inverse of -7?
Answer:
7
Step-by-step explanation:
Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3. 3 is the additive inverse of -3.
The additive inverse of a number is a number that is the same distance from 0 on the number line, but in the opposite direction. It can also be thought of as the number that you need to add to a number in order for the result to be 0.
Examples
In the number line below, -3 and 3 are additive inverses. If we add the other value to either of the two values, the result will be 0.
-3 + 3 = 0
3 - 3 = 0
The same is true of the other corresponding values on the number line; 5 and -5, 4 and -4, 2 and -2, 1 and -1, and even 0 and 0, are all also additive inverses.
Answer:
7
Step-by-step explanation:
The additive inverse of a number is is the number that, when added to it, yields zero.
answer if you have the ability to
Answer:
A is the answer.
F(x)=3x+10
g(x)= x-2
Find g(f(-10))
Solve please
Answer: -22
Step-by-step explanation:
first let's plug in -10 to the f(x) function.
F(-10) = 3(-10) + 10 = -30 +10 = -20
Now we plug in -20 into the g(x) function
g(-20) = -20 -2 = -22
Answer:
If g(x) = x - 2, then g(f(x)) = f(x) - 2. So the whole equation would be: 3x + 10 × x - 2. Simplified: g(f(x)) = 13x - 2
UwU
DJ has 16 movies, and Three-eighths of them are comedies. How many movies are comedies?
Answer:
16 * 3/8 = 6
6 movies are comedies
Answer: 6 movies are comedies.
Step-by-step explanation:
First expression three-eighths as a fraction then multiply it by the number of movies that DJ has in total.
three-eights = 3/8
3/8 * 16 = 48/8 = 6
as a membership fee, a health club charges a one time amount of $40 and charges $25 each month. the total fee after m months is $240 what is the value of m
Answer:
The value of M is M I just kidding but the value of M is 4 Months because if you add 40 and 25 each time then eventually you would get 240$. Hope this helps please give brainlist. Please
Answer:
m= 4 months
Step-by-step explanation:
divide and subtract them numbers
please help and I will mark big brain
Answer: 6
Step-by-step explanation:
(41--1)/ (8-1) = 42/7 = 6
Answer:
6
Step-by-step explanation:
I learned this before
7.15 divided by 65 what is the answer? I need help to solve this problem
Answer:
7.15/65 = 0.11
what value for n makes the following sentence true ?
2( n+3 )=5
ILL MARK BRAIIST !!!
Answer:
-0.5
Step-by-step explanation:
Answer:
n= -0.5
Step-by-step explanation:
2(n+3)=5
2n+6=5
2n=-1
n=-1/2= -0.5
Can you do this for me?
Answer:
10, 20, 30, 40
2.5, 5, 7.5, 10
120.8, 60.4, 30.2, 15.1
3624, 1812, 906, 453
hope this helps!
The graph of f (x) = −x3 + 3x2 − 2 is
shown in the figure to the right.
Complete the table below by using
the second derivative of f to identify
the intervals on which f us concave
upward or concave downward and
to identify the inflection points of f.
Answer:
Concave Up: (-∞, 1)
Concave Down: (1, ∞)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Combining Like TermsCalculus
Derivative of a Constant is 0.
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Second Derivative Test:
Possible Points of Inflection (P.P.I) - Tells us the possible x-values where the graph f(x) may change concavity. Occurs when f"(x) = 0 or undefinedPoints of Inflection (P.I) - Actual x-values when the graph f(x) changes concavityNumber Line Test - Helps us determine whether a P.P.I is a P.IStep-by-step explanation:
Step 1: Define
f(x) = -x³ + 3x² - 2
Step 2: Find 2nd Derivative
1st Derivative [Basic Power]: f'(x) = -1 · 3x³⁻² + 2 · 3x²⁻¹Simplify: f'(x) = -3x² + 6x2nd Derivative [Basic Power]: f"(x) = -3 · 2x²⁻¹ + 1 · 6x¹⁻¹Simplify: f"(x) = -6x + 6Step 3: Find P.P.I
Set f"(x) equal to zero: 0 = -6x + 6Isolate x term: -6 = -6xIsolate x: 1 = xRewrite: P.P.I x = 1Step 4: Number Line Test
See Attachment.
We plug in the test points into the 2nd Derivative and see if the P.P.I is a P.I.
x = 0
Substitute: f"(0) = -6(0) + 6Multiply: f"(0) = 0 + 6Add: f"(0) = 6This means that the graph f(x) is concave up before x = 1.
x = 2
Substitute: f"(2) = -6(2) + 6Multiply: f"(2) = -12 + 6Add: f"(2) = -6This means that the graph f(x) is concave down after x = 1.
Step 5: Identify
Since f"(x) changes concavity from positive to negative at x = 1, then we know that the P.P.I x = 1 is actually a P.I x = 1.
Let's find what actual point on f(x) when the concavity changes.
Substitute in P.I into f(x): f(1) = -(1)³ + 3(1)² - 2Evaluate Exponents: f(1) = -(1) + 3(1) - 2Multiply: f(1) = -1 + 3 - 2Combine like terms: f(1) = 0So at (1, 0), f(x) changes concavity from concave up to concave down.
Step 6: Define Intervals
We know that before f(x) reaches x = 1, the graph is concave up. We used the 2nd Derivative Test to confirm this.
Concave Up Interval: (-∞, 1)
We also know that after f(x) passes x = 1, the graph is concave down. We used the 2nd Derivative Test to confirm this as well.
Concave Down Interval: (1, ∞)
Ava bought 1.7 lb of plums and 7.2 lb of peaches how many was her total. Plums:$0.23. per pound peaches:$1.22 per pound
Answer:
0.391+8.42=8.811
8.811 in dollars is 10.42 United States Dollars
Step-by-step explanation:
Your answer is 10.42 c:
3(x − 2) = 12 nvwdksbvjkdsbvjkds jksncjv
which option gives you more snack when spending the same amount of money?
Doritos 4.39 for 11.5 oz
or
cheetos 9.75 for 3.24
Answer:
Spending the same amount of money, Cheetos gives more snacks than Doritos, since with the same money more ounces of the product will be obtained.
Step-by-step explanation:
Given that the Doritos package costs $ 4.39 and contains 11.5 ounces of product, the price of each ounce of said snack comes from the following calculation:
4.39 / 11.5 = X
0.38 = X
Therefore, each ounce of Doritos costs $ 0.38.
In turn, the Cheetos package costs $ 3.24 and contains 9.75 ounces of snacks, so its price per ounce is obtained through the following calculation:
3.24 / 9.75 = X
0.33 = X
Thus, each ounce of Cheetos costs $ 0.33.
Therefore, spending the same amount of money, Cheetos gives more snacks than Doritos, since with the same money more ounces of the product will be obtained.
Solve for the values of x and y
SOLVING LEFT-SIDED RIGHT TRIANGLE
Answer:
The value of the missing length of the side x=26 units
Step-by-step explanation:
The Pythagorean theorem states
[tex]\:a^2\:+\:b^2\:=\:x^2[/tex]
We will use the Pythagorean Theorem to solve for the missing side length.
[tex]24^2\:+\:10^2\:=\:x^2[/tex]
switch both sides
[tex]x^2=24^2+10^2[/tex]
[tex]x^2=576+100[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{676},\:x=-\sqrt{676}[/tex]
[tex]x=26,\:x=-26[/tex]
As x can not be negative.
Therefore, the value of the missing length of the side x=26 units
SOLVING LEFT-SIDED RIGHT TRIANGLE
Answer:
The value of the missing length of the side y=15 units
Step-by-step explanation:
Considering the right-sided right triangle
The Pythagorean theorem states
[tex]a^2\:+\:b^2\:=\:c2[/tex]
We will use the Pythagorean Theorem to solve for the missing side length.
[tex]15^2\:+\:y^2\:=\:\left(15\sqrt{2}\right)^2[/tex]
[tex]225+y^2=450[/tex] ∵ [tex]\left(15\sqrt{2}\right)^2=450[/tex]
[tex]y^2=225[/tex]
[tex]y=\sqrt{225},\:y=-\sqrt{225}[/tex]
[tex]y=15,\:y=-15[/tex]
As y can not be negative.
Therefore, the value of the missing length of the side y=15 units
Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.06 and a standard deviation of 1.52. Using the empirical rule, what percentage of American women have shoe sizes that are less than 9.58? Please do not round your answer.
Answer:
84%
Step-by-step explanation:
The Empirical rule formula states that:
68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
Mean = 8.06
Standard deviation = 1.52
Using the empirical rule, what percentage of American women have shoe sizes that are less than 9.58? Please do not round your answer.
Using the first rule if Empirical formula
68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ
μ + σ
= 8.06 + 1.52 = 9.58
This satisfies one side of the distribution, hence:
100 - 68%
= 32%
P(x >9.58) = 32%/2 = 16%
Hence,the percentage of American women have shoe sizes that are less than 9.58 is
P(x < 9.58) = 100 - 16%
= 84 %
Given the following function, find h(-1).
h(x) =8x²+3
Greatly appreciate any help...
Answer:
11
Step-by-step explanation:
Use the inequality 24 ≥ 58 + 5(x - 3.8)
Solve for the inequality X.
Pls help I need to hand it in by 4:00..
Answer:
Work shown below!
Step-by-step explanation:
24 ≥ 58 + 5(x - 3.8)
Distribute;
24 ≥ 58 + 5x - 19
Collect like terms;
24 ≥ 39 + 5x
Subtract 39 from both sides;
-15 ≥ 5x
Divide both sides by 5;
x ≥ -3