Answer:
C
The equation for this is a=v^2/r
when you plug in it is a=31^2/22=961/22=43.7m/s^2
Step-by-step explanation:
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Nivea lost her cell phone somewhere in her 7500 square foot house. Her mother tells her there is a 16% chance that the phone is in the game room.
a. Find the probability (as a fraction) that the phone is in the game room.
b. what is the area of the game room?
The place value of the 3 in 27.4359 is _____.
The place value of the '3' in 27.4359 is in the tenths place, and therefore its value is 0.3. The position of the '3' relative to the decimal point determines its place value.
Explanation:The place value of the '3' in 27.4359 is determined by its position relative to the decimal point. In this example, the '3' is located in the first space to the right of the decimal point, which represents the tenths place.
So, the value of the '3' in this decimal is three-tenths, or 0.3. Looking at other numbers for comparison, consider 0.00347. Here, the '3' is three places to the right of the decimal, but the place value would be significantly lower, as it is in the thousandths place.
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Is Sylvia buys 5 shirts for $75 a unit rate?
I believe you are finding the total cost of 5 shirts given the unit rate. To compute for the total cost, you have to multiply the unit rate to the number of shirts bought:
5 shirts x $75 unit rate = $375
Therefore, Sylvia will spend $375 to buy 5 shirts.
Explain how you would solve a triangles given two sides and the included angle?
To solve a triangle given two sides and included angle, use the law of cosines. This law is expressed as a² = b² + c² - 2bc cos(A), where a, b, c are the lengths of the sides, and A is the included angle.
Explanation:To solve a triangle given two sides and the included angle, you would use the Law of Cosines. This law is used when you're given two sides and the included angle in a triangle (often abbreviated as SAS). The law states,
a² = b² + c² - 2bc cos(A)
where a, b, and c are the lengths of the sides of the triangle, and A is the included angle. So, in this case, if you're given sides b and c and included angle A, you would substitute these values into the formula to find side a.
For instance, if side b is 3 units, side c is 4 units, and angle A is 60 degrees, we would substitute these values into our formula like so: a² = 3² + 4² - 2(3)(4) cos(60).
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The correct way to solve a triangles given two sides and the included angle is by the sine and cosine rule.
Solving triangles using the sine and cosine ruleFor angle placed in between two sides of a triangle, we can use the cosine rule to determine the unknown angle
According to the cosine formula, we will have:
[tex]a^2=b^2+c^2-2bc \ cos\theta[/tex]
where a, and c are the sides of the triangle and theta is the central angle.
Also, the remaining angles can be determined using the law of cosines as shown:
a/sinA = b/sinB = c/sinC
Hence the correct way to solve a triangles given two sides and the included angle is by the sine and cosine rule.
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Suppose 6000 is placed in an account that pays 3% interest compounded each year. Assumed that no withdrawals are made from the account .
Find the amount at the end of one year ?
Find the amount in the account at the end of two year .
Final answer:
With a principal amount of $6000 and a 3% annual interest rate compounded yearly, the account balance at the end of one year will be $6180, and at the end of two years, it will be $6365.40.
Explanation:
To calculate the amount of money in an account with compounded interest, we can use the formula [tex]A = P(1 + r/n)^{(nt)[/tex], where A is the amount of money accumulated after n years, including interest, P is the principal amount, r is the annual interest rate (decimal), n is the number of times the interest is compounded per year, and t is the time the money is invested for in years.
For the student's case, with $6000 placed in an account at 3% interest compounded each year with no withdrawals:
To find the amount at the end of one year, we calculate it as [tex]A = 6000(1 + 0.03/1)^{(1\times 1)[/tex], which equals $6000 × 1.03 = $6180.To find the amount at the end of two years, [tex]A = 6000(1 + 0.03/1)^{(1\times 2)[/tex], giving us $6000 × 1.03² = $6365.40.As such, after one year, the student would have $6180, and after two years, the balance would be $6365.40.
Give two examples of items that weigh less than 1 ounce and two examples of items that weigh more than 1 ton.
Find the median to the base of an isosceles triangle if the length of its base is 15 in and its area is 75 in2
Which of the following describes the graph of the transformed function compared with the parent function? Select all that apply.
Answer: a,c,d
Step-by-step explanation: got it right on edge :)
The minimum size of a photo book ordered through a website is 6 pages. The website charges $1.70 per page for the first 6 pages. Any additional pages increase the cost of the photo book by $0.90 per page. If x represents the number of additional pages in a photo book order, which equation can be used to find the total cost, in dollars, of a photo book ordered through the website?
Javier's family bought 3 juices at Bagel Mania. Which of these could NOT be the amount of money Javier's family spent of juices
Juices ___ small $0.75
Large $1.25
A. $2.25
B. $2.75
C. $3.25
D $3.50
What is 1/4 written as a percent
A number z is fewer than 34.
Final answer:
The letter 'z' in mathematics can refer to various concepts including complex numbers with arguments measured in degrees, z-scores in statistics indicating deviation from the mean, and as a variable within equations and inequalities.
Explanation:
The concept of 'z' seems to refer to multiple mathematical contexts, including complex numbers, z-scores in statistics, and equations involving z. Specific examples from the information provided include:
Complex numbers where z's argument could be positive or negative, and use of degrees in the context of a circle's 360 degrees showing that -30 and 330 degrees represent the same angle.
The z-score, which measures how many standard deviations a data point is from the mean in statistics, such as z = -4 indicating a data point four standard deviations to the left of the mean.
Equations where z is a variable representing a number, which could be within a certain range or satisfying a given condition.
Understanding these uses of z in the mathematical context allows for precise interpretation of equations, probabilities, and analyses of data sets.
The inequality that represents the statement "A number z is fewer than 34." is: z < 3/4.
How to express the inequality?
The inequality that represents the word sentence "A number z is fewer than 3/4" is z < 3/4.
To explain this, we can compare z to 3/4. If z is smaller than 3/4, we can use the less than symbol (<) to represent this relationship.
So, the inequality is z < 3/4.
For example, if z is 1/2, which is smaller than 3/4, the inequality holds true: 1/2 < 3/4.
Complete question is:
Write the word sentences as an inequality.
A number z is fewer than 3/4.
An inequality that represent this word sentences is?
an im mperative sentence A. asks a question B. make a request C. make a statement D. show emotion.
PLEASE HELP WILL GIVE BRAINLIEST ******* Lucy made tables of values to approximate the solution to a system of equations.
Answer:(1.6,1.3)
Step-by-step explanation:
Helppppppppppppppppppppp
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What is the volume of the pyramid?
a rectangle has an area of 156 square inches and a perimeter of 50 in what are the width and the length of the rectangle
Final answer:
To find the length and width of the rectangle with an area of 156 square inches and a perimeter of 50 inches, we can set up and solve a system of equations based on the area and perimeter formulas. After solving, we determine that the length is 13 inches and the width is 12 inches.
Explanation:
The student has asked to find the length and width of a rectangle given that it has an area of 156 square inches and a perimeter of 50 inches. To solve this problem, we need to use the formulas for the area and perimeter of a rectangle.
Area and Perimeter Formulas
Area formula: A = length × width
Perimeter formula: P = 2(length + width)
Let's denote the length as 'l' and the width as 'w'. The area of the rectangle is 156, so we can write:
l × w = 156
The perimeter of the rectangle is 50, so we can write the perimeter formula as:
2(l + w) = 50
This simplifies to:
l + w = 25
Now, we have two equations:
l × w = 156
l + w = 25
We can solve this system of equations by expressing one variable in terms of another. Let's express 'w' in terms of 'l' from the second equation:
w = 25 - l
Now, substitute 'w' in the area equation:
l × (25 - l) = 156
This is a quadratic equation that can be solved to find the values of 'l'. Once we have 'l', we can find 'w' using the second equation.
After solving, we find that the length is 13 inches and the width is 12 inches. Therefore, the rectangle's dimensions are 13 inches by 12 inches.
A science teacher needs up to 15 female and male students for a competition. The science teacher needs at least 6 male volunteers. Let x represent the number of male volunteers and y represent the number of female volunteers. Which inequalities model the situation? Select each correct answer.
a. x+y≤15
b. y≥0
c. x+y<15
d. x>6
e. x≥6
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Yi and Sue play a game. They start with the number $42000$. Yi divides by a prime number, then passes the quotient to Sue. Then Sue divides this quotient by a prime number and passes the result back to Yi, and they continue taking turns in this way.
For example, Yi could start by dividing $42000$ by $3$. In this case, he would pass Sue the number $14000$. Then Sue could divide by $7$ and pass Yi the number $2000$, and so on.
The players are not allowed to produce a quotient that isn't an integer. Eventually, someone is forced to produce a quotient of $1$, and that player loses. For example, if a player receives the number $3$, then the only prime number (s)he can possibly divide by is $3$, and this forces that player to lose.
Who must win this game, and why? Explain your reasoning in complete sentences. (Don't just show one example of how the game could go. Instead, explain why the same player must always win, no matter what strategy either player tries to use!)
Which of the following equations will produce the graph shown?
A. x^2= 8y
B. x-1/8y^2= 0
C. y=1/2x^2
D. x^2= -8y
Answer:
Step-by-step explanation:
Let us take as a given that x is normally distributed with a mean of 8.5 and a standard deviation of 2, what is p(x ≤ 6)? note: round your answer, if necessary, to two places after the decimal. please express your answer with two places after the decimal.
Colleen has a bank account balance of $16.43. Toby has a bank account balance of –$10.21. Yosef has a bank account balance of $8.98. Which of the following statements are true?
Select all that apply.
A.
Colleen has the most money in her bank account.
B.
Toby has more money than Colleen.
C.
Yosef has less money than Toby.
D.
Toby's balance is further from zero dollars than Yosef's balance.
E.
Colleen's balance is further from zero dollars than Toby's balance.
Option A and option E are true, Colleen has the most money in her bank account and Colleen's balance is further from zero dollars than Toby's balance.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Colleen has a bank account balance of $16.43.
Toby has a bank account balance of –$10.21.
Yosef has a bank account balance of $8.98.
Colleen has the most money in her bank account is true because $16.43 is greater than $8.98.
So the statement in A is true.
Colleen's balance is further from zero dollars than Toby's balance is also true.
Toby has more money than Colleen is false.
Yosef has less money than Toby is uncertain.
Hence, Option A and option E are true, Colleen has the most money in her bank account and Colleen's balance is further from zero dollars than Toby's balance.
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In parallelogram RSTU, SW=4 cm, WT=6 cm, RS=5 cm, And ST=7 cm what is the length of line segment WU
The length of line segment WU is 4 cm.
Hence, 4 cm is correct.
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Now, As given that, RSTU is an parallelogram.
RT and SU are its two diagonals.
They intersect each other at point W.
Properties of parallelogram is that they bisect each other.
i.e SW = WU and RW = WT
As given that, SW = 4 cm.
So, WU = SW = 4 cm
Therefore, the length of line segment WU is 4 cm.
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With 128,134,140,146,152,whats the next number If the pattern continues?
A vehicle travels a distance of 5t4 − 10t2 + 6 miles in t + 2 minutes.
The vehicle's speed is __________miles/minute.
Answer:
Speed of the vehicle=[tex]\frac{5t^{4}-10t^{2}+6}{t+2}miles/min[/tex]
Step-by-step explanation:
Given that,
Distance traveled by the vehicle = 5t⁴ - 10t² + 6 miles
time = t + 2 minutes
We need to find the speed of vehicle. Use the formula of speed is:
[tex]Speed=\frac{Dstance}{Tme}[/tex]
[tex]Speed=\frac{5t^{4}-10t^{2}+6}{t+2}[/tex]
So, speed of the vehicle=[tex]\frac{5t^{4}-10t^{2}+6}{t+2}[/tex]
That's the final answer.
Answer:
The speed is 5t^3 - 10t^2 + 10t - 20 + 46/(t+2) miles per minute.
Use technology or a z-score table to answer the question.
The number of huckleberries picked during a huckleberry contest are normally distributed with a mean of 300 and a standard deviation of 53. Jill picked 276 huckleberries in the contest.
What percent of huckleberry pickers picked less than Jill?
Round your answer to the nearest whole number.
Answer:
33%
Step-by-step explanation:
33%
What is the volume of this rectangular prism? Rectangular prism with height labeled 3 centimeters, width labeled 5 centimeters, and length labeled 6 centimeters. cm³