Answer:
The radius is half the diameter, so the radius is 5 feet, or r = 5. You can find the circumference by using the formula. So, the circumference is about 31.5 feet around
Omar has $660 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a new bicycle for $330.64. He buys 2 bicycle reflectors for $15.34 each and a pair of bike gloves for $34.47. He plans to spend some or all of the money he has left to buy new biking outfits for $36.30 each. Which inequality can be used to determine xx, the maximum number of outfits Omar can purchase while staying within his budget?
Answer:
330.64 +2· 15.34 + 34.47 + 36.30·x ≤ 660
Step-by-step explanation:
Money he has:
$660 "Omar has $660 to spend "
Money he spends:
$330.64 "A new bicycle for $330.64." $330.64 +
+2· $15.34 "He buys 2 bicycle reflectors for $15.34 each"
+$34.47 "a pair of bike gloves for $34.47."
+x·$36.30 "new biking outfits for $36.30 each", where x-is the number of outfits he can buy
$330.64 +2· $15.34+$34.47 + $36.30·x
The inequality that can be used to determine x, the maximum number of outfits Omar can purchase while staying within his budget is:
$330.64 +2· $15.34+$34.47 + $36.30·x ≤ 660
The maximum number of outfits he can buy is:
330.64 +2· 15.34 + 34.47 + 36.30·x ≤ 660, we first do multiplication 2·15.34
330.64 + 30.68 + 34.47 + 36.30·x ≤ 660, add like terms
395.79 +36.30x ≤ 660, subtract 395.79 from both sides
36.30x ≤ 660 - 395.79, combine like terms 660 - 395.79
36.30x ≤ 264.21, divide both sides by 36.30
x ≤ 264.21/36.30, divide and round to the nearest hundredths
x ≤ 7.28
To stay on budget Omar can buy 7 outfits.
What is the advantage of pooling your data with the rest of the lab section?.
Data sharing with the remainder of the lab section has a number of benefits. First of all, it broadens the sample size overall, which can boost the statistical power of analyses and broaden the applicability of the results.
It is simpler to find significant effects or relationships in the data when the sample size is higher. Furthermore, combining data can result in a more representative sample, minimising any biases that can be present in smaller individual datasets. Collaboration and the investigation of trickier research problems are made possible by sharing data. It promotes information exchange and a collaborative atmosphere where researchers can benefit from one another's experiences, approaches, and insights, thereby raising the calibre and dependability of the research carried out in the lab sector.
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is a perpendicular bisector of . What is true of any triangle created by points U, V, and any point on other than S
Can you solve 8n- 4= 52
Answer:
Add 4 to both sides of the equation
8n-4=52
8n-4+_4=52+_4
A teacher chooses two students in a class of 15 girls and 10 boys. The students are randomly chosen. What is the probability that the teacher chooses two girls?
I keep hearing 3/5 and 7/20 but I don’t know which is right, please help.
Answer: I would go with 3/5, the person who said 7/20 doesn't have any thank you's or ratings besides themselves while 3/5 has thank you's , and confirmation
Step-by-step explanation:
biblical tithing basically means you will give ______ percent of your income to the lord. 20 5 10 25
Biblical tithing basically means you will give 10 percent of your income to the lord.The word tithe refers to "tenth" or "tenth part," so biblical tithing implies offering one-tenth of one's income to the church.
Biblical tithing is the method of giving the first fruits of one's labor to the Lord. Tithing originated from the Old Testament in which people would offer 10% of their harvest to the Lord.Tithing is a way of giving back to God as well as to others, according to the Bible.
As a result, Christians are required to tithe a tenth of their earnings. While this might appear to be a significant amount of money, if Christians can trust God with their finances, they can discover that he blesses them in ways they never imagined. In the New Testament, there is no specific requirement to tithe, but Christians are urged to give generously to the church and those in need.
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If both p and 2p+1 are prime, then 2p+1 is a safe prime and p is what other kind of prime, whose namesake—the first woman to win a prize from the Paris Academy of Sciences, for work on elasticity—used them to investigate Fermat's Last Theorem?
If both p and 2p+1 are prime, then 2p+1 is a safe prime and p is a Sophie Germain prime.
Sophie Germain was a French mathematician who used these primes to investigate Fermat's Last Theorem, a famous mathematical conjecture that was finally proved in 1994 by Andrew Wiles. A safe prime is a prime number of the form 2p+1, where p is also a prime number, and it is called "safe" because it has some cryptographic properties that make it useful in certain encryption schemes. In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b, and c satisfy the equation an + bn = cn for any integer value of n greater than 2. The cases n = 1 and n = 2 have been known since antiquity to have infinitely many solutions.
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what is 5% of 30 and what is 25% of 30 and what is the difference?
Answer:
5% of 30 is 1.5
25% of 30 is 7.5
25% is one quarter. 5% is a fifth of a quarter.
Answer:
5% of 30 is = 30 x 0.05 = 1.5
25% of 30 is 30 x 0.25 = 7.5
The difference is 6
which point does not belong with the other three? (−2,1), (−4,5), (2,−3), (−1,3
Answer:
2,-3
Step-by-step explanation:
hope this helps :)
Jennie has a jar containing 800 mL of wax that she uses to make candles for her school project. She uses 50 mL of wax from the jar to make one candle.
The function A(n)=800−50n represents the amount of wax left in the jar after making n candles.
What is the domain of the function A(n) in this context?
The domain of the function A(n) which represents the amount of wax left in the jar after making candles is; n = {n: 0<= n <= 16}.
What is the Domain of the function given in which case 800mL of wax is used to make candles according to the function?According to the task content, it follows that tge function given to represent the use of wax to make candles is;
A(n)=800−50n
Hence, since the domain of a function is the set of all possible values of n, it follows that the possible values of n spans from the least to the highest as follows;
When none of the wax is used for candles;
800 = 800 -50n.
0 = -50n
n = 0.
When all of the wax is used for candles;
0 = 800 - 50n
-800 = -50n
n = 16.
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Find the equation of the line that is parallel to the given line and passes through the given point.
y = −5x + 1; (5, 7)
See attachment for math work and answer.
The equation we are looking for is parallel to the given equation. This means both equations have the same slope.
Answer:
y = -5x + 32
Step-by-step explanation:
y = -5x + 1
=> (d): 5x + y - 1 = 0
d' is parallel to the given line and passes through the given point
=> (d'): passes through (5;7)
// (d): 5x + y - 1 = 0
=> (d'): 5x + y - 32 = 0 <=> y = -5x + 32
n is an integer
Write the values of n such that \(-8\leq 4n\ \textless \ 12\)
Answer:
-2, -1, 0, 1, 2,
Step-by-step explanation
Divide the whole thing by 4.
You will have -2 \(\leq\) n < 3
The only values that fit range from -2 to 2.
If a sprinkler rotated 90˚, paused, and then rotated another 90˚, how many degrees
did it rotate altogether
Answer:
180°
Step-by-step explanation:
Since a sprinkler rotates 90°, pauses,and then rotates another 90°
So, here total degrees be like
= 90° + 90°
= 180°
hence, The number of degrees did it rotate altogether should be considered as the 180 degrees.
11+2x=x+4 whoever answered can you show the work?
Answer:
x= -7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2x+11=x+4
Step 2: Subtract x from both sides.
2x+11−x=x+4−x
x+11=4
Step 3: Subtract 11 from both sides.
x+11−11=4−11
x=−7
2h(3m-4h)please help me
Answer:
6hm-8h^2
Step-by-step explanation:
2h(3m-4h)
2h*3m=6hm
2h*4h=8h^2
=6hm-8h^2
If the two figures are congruent, which statement is true?
A. BCDA ≅ FEHG
B. ABCD ≅ EFGH
C. BADC ≅ EFGH
D. ADCB ≅ HGFE
Answer:
A
Step-by-step explanation:
the order of letter should resemble the same shape
Algebra Question that I need help in since I’m taking a test
Answer:
D, the Addition Property of Equality
Step-by-step explanation:
This is the Addition Property of Equality. The Addition Property of Equality is, "If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal." In this case, the person added 5 to both sides. The expression is still equal to what is was before. I hope this helps!
Answer:
The answer is D
Step-by-step explanation:
What value of x is in the solution set of 9(2x + 1) < 9x -18?
Hello!
Let's first solve the inequality for \(\sf{x}\).
\(\begin{aligned} \sf{9(2x+1) < 9x-18} \\\sf{18x+9 < 9x-18}\\\sf{18x-9x < -18-9}\\\sf{9x < -27}\\\sf{x < -3} \end{aligned}\)
Hope that helps! :)
-art lover
Use the Remainder Theorem to determine whether or not x + 3 is a divisor of p (x) = 2x^3 + 4x^2 - 2x + 12
PLEASE SHOW WORK.
Step-by-step explanation:
This is answer. I'm sri lankan. But our a/l exam have this mathematics questions
The remainder when the polynomial p(x) = 2x³ + 4x² - 2x + 12 is divided by x + 3 is -6.
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
The remainder theorem states that for a polynomial, f(x) divided by a linear polynomial , x - a, the remainder is equal to f(a).
Given the polynomial; p(x) = 2x³ + 4x² - 2x + 12, since it is divided by x + 3, hence:
x + 3 = 0
x = -3
p(-3) = 2(-3)³ + 4(-3)² - 2(-3) + 12 = -6
Hence the remainder when the polynomial p(x) = 2x³ + 4x² - 2x + 12 is divided by x + 3 is -6.
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Which of the following is furthest to the left on the number line?
-6.5
-5
-6.7
-6 help mee
Answer:
6.7 is farthest to the left of the line
the answer is 6. add -3x to 2x which gives you 5x. then add 24 to 6 which gives you 30. the equation is now 30=5x. divide by 5. 30÷5=6. x=6
Answer:
Wrong I think... it would be x=1/5
Step-by-step explanation:
-3x +2x is -1x but the rest seems correct.
joshua scored a 65, 80, 85 and 100 on his math tests. what score will joshua have to earn on his fifth test to have a mean score of 85?
Joshua scored 65, 80, 85, and 100 on his math tests. 90 score Joshua has to earn on his fifth test to have a mean score of 85
To calculate the mean score, add up all of the scores and divide by the total number of tests.
To figure out what score Joshua needs to get on the fifth test, use the formula:
Total score = mean score × total number of tests
Total score = 85 × 5
Total score = 425
Joshua's total score on all five tests must be 425. He has already earned 330 points from his first four tests (65 + 80 + 85 + 100).
Therefore, Joshua must earn 95 points on his fifth test (425 - 330 = 95) to achieve a mean score of 85.
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Consider the logistic differential equation:
dy/dx = y/8(6 - y)
Let f(t) be the particular solution to the differential equationwith f(0) = 8
a. What is the limiting factor?
b. Use Euler's method, starting at t=0 with two steps of equalsize, to appropriate F(1).
c. What is the range of f for t > 0
The approximate value of f(1) using Euler's method with two steps of equal size is 6.636. The range of f for t > 0 is 0 < f(t) < 6.
a. The limiting factor in this logistic differential equation is the carrying capacity, which is 6 in this case. As y approaches 6, the growth rate of y slows down, until it eventually levels off at the carrying capacity.
b. To use Euler's method, we first need to calculate the slope of the solution at t=0. Using the given differential equation, we can find that the slope at t=0 is y(0)/8(6-y(0)) = 8/8(6-8) = -1/6.
Using Euler's method with two steps of equal size, we can approximate f(1) as follows:
f(0.5) = f(0) + (1/2)dy/dx|t=0
= 8 - (1/2)(1/6)*8
= 7.333...
f(1) = f(0.5) + (1/2)dy/dx|t=0.5
= 7.333... - (1/2)(7.333.../8)*(6-7.333...)
= 6.636...
Therefore, the approximate value of f(1) using Euler's method with two steps of equal size is 6.636.
c. The range of f for t > 0 is 0 < f(t) < 6, since the carrying capacity of the logistic equation is 6. As t approaches infinity, f(t) will approach 6, but never exceed it. Additionally, f(t) will never be negative, since it represents a population size. Therefore, the range of f for t > 0 is 0 < f(t) < 6.
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The coordinates of a parallelogram are given segment AB is parallel to the x-axis determine the values for a,b,c,d
Answer:
a=3 d=1 b and c cant be solved
Step-by-step explanation:
because segment AB is parallel to x axis . So the slope of ABco is 0. So the y value is congruent
a=3 d=1
We know AB=CO b+2=8-C
we can only find ad, but we could not get b,c
Answer the following questions: What was the surface area and volume of the prism? Do you think you could use the same formula to find the surface area and volume of other prisms? Why or Why not?
Answer:
The formula for solving surface area is LxWxH (LengthxWidthxHeight)
And the formula for solving area is LxW (LenghtxWidth)
Step-by-step explanation:
I hope this helps. I didnt really see any pictures for this.
Answer: 1. 60 square centimeters and the volume was 24 cm3
2. Yes, because if you have length, width and height, that's really all the information you need to find out the area, volume, perimeter, surface area, ect!
Step-by-step explanation: Hope this helps! :)
(I had the same question btw)
In a bar graph space between rectangles is always
Answer:
the same
Step-by-step explanation:
Not as histograms where space must equal 0 as calculating area is needed.
A lotion vehicle contains 15% v/v of glycerin. How much glycerin should be used in preparing 5 gallons of the lotion?
a. 2271 g glycerin
b. 3339.7 mL glycerin
c. 2671.8 g glycerin
d. 3548.4 g glycerin
The glycerin should be used in preparing 5 gallons of the lotion is 3548.4 g. Thus, option D is correct.
According to the statement
we have given that the a vehicle contains 15% v/v of glycerin. and we have to find that the How much glycerin should be used in preparing 5 gallons of the lotion.
So, For this purpose, we know that the
15% v/v means that there will be 15 ml of glycerin in every 100 ml of lotion.
And The conversion would be :
We know that the
In 1 gallon = 3784 ml
5 gallons x 3784 ml = 18,920 ml
And
18,920 ml x 15 ml glycerin/100 ml = 2838 ml of glycerin
And the
Density of glycerin = 1.26 g/ml
So,
2838 ml x 1.26 g/ml = 3548.4 g glycerin.
So, The glycerin should be used in preparing 5 gallons of the lotion is 3548.4 g. Thus, option D is correct.
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The domain of a polynomial function is ____ all real numbers.
Answer:
I may be wrong but I believe it could be (−∞, ∞).
Step-by-step explanation:
Depending on the polynomial is what the rage would be. I'm beyond sorry if it is wrong.
Solve this t2/t1=(p2/p1)^(n-1/n)!
To solve for t2 in the equation t2/t1=(p2/p1)^(n-1/n), we can cross-multiply to get t2=(p2/p1)^(n-1/n) * t1.
In the given equation, t2/t1 represents the ratio of two temperatures, while (p2/p1)^(n-1/n) is a ratio of pressures raised to a power. The exponent of (n-1/n) in the equation represents the ratio of specific heats, which is a constant value for a given gas. Thus, we can rewrite the equation as t2/t1= (p2/p1)^k, where k = (n-1/n).
To solve for t2, we can multiply both sides of the equation by t1, which gives us t2= (p2/p1)^k * t1.
Therefore, the equation to solve for t2 is t2= (p2/p1)^(n-1/n) * t1.
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At the movie theatre, child admission is $5.70 and adult admission is $9.40. On Sunday, three times as many adult tickets as child tickets were sold, for a total sales of $1288.20. How many child tickets were sold that day?
Answer:
37.83
Step-by-step explanation:
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