In a right triangle, cosA=0.352 and sinA=0.936 What is the approximate value of tanA?
A- 0.329
B- 0.376
C-1.288
D-2.659
Answer:
tanA=2.6591
Step-by-step explanation:
[tex]tanA=\dfrac{sinA}{cosA} \\\\tanA=\dfrac{0.936}{0.352} \\\\tanA=2.6591[/tex]
If n is a term of the sequence 2, 5, 8, 11, ..., which expression would give the value of n?
How do you solve
6(3b + 5) = 2(6b - 21) and
10y - 4 = 2(5y - 2)?
Janice really likes potatoes. potatoes cost $0.50 per pound, and she has $5.00 that she could possibly spend on potatoes or other items. suppose she feels that the first pound of potatoes is worth $1.50, the second pound is worth $1.14, the third pound is worth $1.05, and all subsequent pounds are worth $0.30. instructions: enter your answers as whole numbers.
a. how many pounds of potatoes will she purchase?
b. what if she only had $3.00 to spend?
Janice will purchase 4 pounds of potatoes if she has $5.00. If she only has $3.00 to spend, she will purchase 3 pounds of potatoes.
Explanation:To determine how many pounds of potatoes Janice will purchase, we need to subtract the cost of each pound of potatoes from her total budget until she no longer has enough money to purchase another pound. Let's go step by step:
Janice has $5.00 and the first pound of potatoes costs $1.50. After purchasing the first pound, she will have $5.00 - $1.50 = $3.50 left.
The second pound of potatoes costs $1.14, so she can buy the second pound and have $3.50 - $1.14 = $2.36 left.The third pound costs $1.05, so she can buy it and have $2.36 - $1.05 = $1.31 left.The fourth pound and any subsequent pounds cost $0.30 each. Since Janice has $1.31 left, she can afford $1.31 / $0.30 ≈ 4.37 pounds of potatoes.Therefore, Janice will purchase 4 pounds of potatoes.
If Janice only has $3.00 to spend, we can follow the same steps:
With $3.00, she can afford $3.00 / $0.30 = 10 pounds of potatoes. However, since the value of each pound decreases after the third pound, she can only purchase the first three pounds. The fourth pound would cost $0.30, but she doesn't have enough money left.Therefore, if Janice has $3.00 to spend, she will purchase 3 pounds of potatoes.
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What is...a increased by 25%
Answer:
1..25a
Step-by-step explanation:
a + 25%·a = a(1 + 0.25) = 1.25a
_____
Comment on percentages
The symbol "%" is a shorthand way to write "/100", so 25% = 25/100 = 0.25.
Of course, 100/100 = 100% = 1.
Adding 25% of something to 100% of it gives 125% of it, the original amount multiplied by 125/100 = 1.25.
Answer:
1.25a
Step-by-step explanation:
a + 25%·a = a(1 + 0.25) = 1.25a
_____
Comment on percentages
The symbol "%" is a shorthand way to write "/100", so 25% = 25/100 = 0.25.
Of course, 100/100 = 100% = 1.
Adding 25% of something to 100% of it gives 125% of it, the original amount multiplied by 125/100 = 1.25.
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plzz help me out, what is -4a +9>9
How to subtract 546 from 735
mike gioulis would like to have $25,000 in 4 years to pay off a balloon payment on his business mortgage. His money market account is paying 1.825% compounded daily Disregarding leap years, how much money must Mike put in his account now to achieve his goal? round to the nearest whole dollar
Mike need to deposit approximately $22,815 in his money market account now, which has a 1.825% interest rate compounded daily, to have $25,000 in 4 years.
Explanation:To find out how much Mike should invest now, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A = the amount of money accumulated after n years, including interest.
P = principal amount (the initial amount of money)
r = annual interest rate (in decimal)
n = number of times interest applied per time period
t = time the money is invested for in years
In this case, Mike wants to have A = $25,000 in t = 4 years. The interest rate r is 1.825% or 1.825/100 = .01825 in decimal form, and since it is compounded daily, n = 365. So, we can plug into the formula and solve for P:
$25,000 = P(1 + .01825/365)^(365*4)
By performing the calculation, we find that P is approximately $22,815. Mike will therefore need to invest this amount in his money market account now to achieve his goal.
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SSA triangle problems may have zero, one, or two solutions, true of false?
Answer:
True.
Step-by-step explanation:
We use law of sine to solve the triangle when two sides and angle (SSA) is given.There are different cases possible .
1) If a < b sin A.
In this case No possible triangles or we can say there will be zero solutions.
2) If a > b sin A.
In this case there are Two triangles possible.In such cases at least one of the solutions will be an obtuse triangle.
3) If a = b sin A.
We have Unique solution or one solution.This is true for a right triangle.
Hence the given statement SSA triangle problems may have zero, one, or two solutions is True.
Answer: true
Step-by-step explanation:
Ap3x
bryan rides the bus to and from work on the days he works at the library in one month he rode the bus 24 times solve the equation 2x=24 to find the number of days bryan worked at the library
550 is 5% of what number?
27.5 if you divide 550by 5% you get 27.5
A simple random sample of 50 adults was surveyed, and it was found that the mean amount of time that they spend surfing the Internet per day is 54.2 minutes, with a standard deviation of 14.0 minutes. What is the 99% confidence interval (z-score = 2.58) for the number of minutes that an adult spends surfing the Internet per day?
Answer:
The correct answer is 49.1 minutes to 59.3 minutes
Step-by-step explanation:
The 99% confidence interval for the number of minutes that an adult spends surfing the Internet per day is [49.091, 59.308].
What is confidence interval?A confidence interval (CI) is a range of estimates for an unknown parameter.
The formula for confidence interval is mean ± (standard normal variate at α level of significance)*(standard deviation)/ (√sample size)
CI = 54.2 ± 2.58 * 14/√50
CI = 54.2 ± 5.1081
CI = [49.091, 59.308]
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Manuel worked 5 days a week, and 6 hours each day. That week he earned $337.50. What was his hourly rate of pay?
Manuel's hourly rate of pay is calculated by dividing his total weekly earnings by the total hours he worked. He worked a total of 30 hours and earned $337.50, resulting in an hourly rate of $11.25.
The question asks us to calculate Manuel's hourly rate of pay based on the total amount he earned in a week and the number of hours he worked. To find the hourly rate, we need to divide the total earnings by the total number of hours worked.
Calculate the total number of hours worked in a week: 5 days a week times 6 hours each day equals 30 hours.
Divide Manuel's total earnings for the week by the total hours worked:
$337.50 divided by 30 hours equals an hourly rate of $11.25.
what are possible solutions to a system of linear equations and what do they represent graphically?
Final answer:
Solutions to a system of linear equations are represented graphically as the intersections of lines on a graph and can be unique, infinitely many, or none. Graphical representations are essential in various applications, like economic models, and software like R facilitates solving these systems.
Explanation:
Possible solutions to a system of linear equations can be one of three types: a unique solution, infinitely many solutions, or no solution. Graphically, these solutions are represented by the intersections of lines on a graph. In the case of a unique solution, the lines intersect at exactly one point.
For example, consider two linear equations of the form y = mx + b. Graphically, each equation is represented by a straight line. Where these lines cross is the solution to the system. If both equations produce the same line, they have infinitely many solutions since every point on the line satisfies both equations.
what is the slope of the line that goes through (0,0) (5,1)
Let
[tex]A(0,0)\\B(5,1)[/tex]
we know that
the formula to calculate the slope between two points is equal to
[tex]m=\frac{(y2-y1)}{(x2-x1)}[/tex]
Substitute the values in the formula
[tex]m=\frac{(1-0)}{(5-0)}[/tex]
[tex]m=\frac{1}{5}[/tex]
therefore
the answer is the option b
the slope is equal to [tex]\frac{1}{5}[/tex]
Suppose the first class in a frequency table of quantitative data is 0 dash 40-4 and the second class is 5 dash 95-9. what is the class midpoint of the first class?
Answer:
4 + 0 = 4/2 = 2 would be the answer.
Step-by-step explanation:
Calculate the noon sun angles for new orleans, usa and helsinki, finland on september 22. in the answer below, new orleans answer is listed first. refer to the notes on how to calculate noon sun angles. 36.5 degrees, 6.5 degrees 60 degrees, 30 degrees 83.5 degrees 53.5 degrees
Answer:
60 degrees, 30 degrees
Explanation:
Sun angle = 90° - Zenith angle
On September 22, the sun passes over celestial equator. Equinox occurs.
Zenith Angle = Latitude of the place
Latitude of New Orleans, US = 29.95° ≈ 30°
Latitude of Helsinki, Finland = 60.95° ≈ 60°
Thus, the Sun angle at noon at New Orleans would be 90° - 30° = 60°
and at Helsinki, Finland would be 90° - 60° = 30°
Brook says there are 49 days until july 4 there are 7 days in a week in how many weeks will it be until july 4
7 weeks until July 4.
Calculating the Number of Weeks Until July 4
To determine in how many weeks it will be until July 4, given that there are 49 days left:
We know there are 7 days in a week.
We need to divide the total number of days by the number of days in a week.
The calculation is: 49 days ÷ 7 days/week.
Doing the division: 49 ÷ 7 = 7 weeks.
Which values of P and Q result in an equation with exactly one solution? Qx-6=Px-103
Answer:
For any value of P & Q except when both are equal , we get One solution of equation.
Step-by-step explanation:
Given: Linear Equation, Qx - 6 = Px - 103
This equation has exactly 1 solution.
To find: Value of P and Q
First we solve the linear equation for value of x,
Qx - 6 = Px - 103
Transpose Px to LHS ( Left hand side ) we get,
Qx - Px - 6 = -103
Transpose 6 to RHS ( Right hand side ) we get,
Qx - Px = -103 + 6
Qx - Px = -97
taking x common in LHS, we get
( Q - P ) x = -97
Traspose ( Q - P ) to RHS, we get
[tex]x=\frac{-97}{Q-P}[/tex]
[tex]x=\frac{-97}{-(P-Q)}[/tex]
[tex]x=\frac{97}{P-Q}[/tex]
Thus, we are get only 1 value of x but it exist if P ≠ Q
otherwise no solution exist for the given linear Equation.
Therefore, For any value of P & Q except when both are equal , we get One solution of equation.
(4,7), (x,19); slope = 3 the pair points lies on the same line with the given slope. Find x
A mutual fund has total assets of 2.4 million dollars and 300,000 shares. What is the net asset value of one share of the fund? a. $0.08 b. $0.80 c. $8.00 d. $80.00
Answer:
Net assest value of one share is $8 .
Option (c) is correct .
Step-by-step explanation:
As given
A mutual fund has total assets of 2.4 million dollars and 300,000 shares.
As 1 million = 1000000
Total assest value = $2.4 × 1000000
Thus
[tex]Net\ asset\ value\ of\ one\ share = \frac{2.4\times 1000000}{300000}[/tex]
Put all the values in the above
[tex]Net\ asset\ value\ of\ one\ share = \frac{24\times 1000000}{300000\times 10}[/tex]
[tex]Net\ asset\ value\ of\ one\ share = \frac{24}{3}[/tex]
Net asset value of one share = $8 .
Therefore net assest value of one share is $8 .
Option (c) is correct .
If 210 people said football was their favorite sport to watch, how many people were surveyed?
Without additional data, such as the percentage of those surveyed who chose football, it's impossible to determine the total number of people surveyed from the information provided. The data given only specifies that 210 individuals selected football as their favored sport to watch.
Explanation:Based on the provided question, there's not enough information to determine the total number of people who were surveyed. The information given only states that 210 people picked football as their favorite sport to watch, but it does not provide the overall total number of people surveyed.
To calculate the total number of respondents, you need to know the ratio or percentage of people who chose football. For example, if you knew that football was chosen by 70% of those surveyed, you could use that information to calculate the total number of people. In this case, the equation would be 210 = 0.70 * x. Solving for x (the total number of people surveyed) would give you x = 210 / 0.70, which comes out to approximately 300 people.
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Given the area of a triangle is 14x^2 +15x+4 and the base is 4x+2,write the algebraic expression for the height
HURRY!!! PLEASE HELP WITH QUESTIONS!!!! WILL MAKE BRAINIEST ANSWER!!!!
THESE ARE ALL THE ONES I GOT WRONG/W WRONG ANSWER!!!
1.Lauren has gross pay of $765 and federal tax withholdings of $68. Determine Lauren's net pay if she has the additional items withheld: Social Security tax that is 6.2% of her gross pay Medicare tax that is 1.45% of her gross pay State tax that is 22% of her federal tax
A.$691.52
B.$666.21
C.636.98-NOT THE ANSWER
D.$623.52
2.Trevor’s total employment compensation is $33,500. If Trevor has no job expenses and his gross pay is $28,600, then his total employee benefits are _____% of his gross pay.
A.4.9
B.8.5
C.14.6-NOT THE ANSWER
D.17.1
3.Which of the following items may be a good consideration in selecting a bank?
I. The bank sends a representative to the local mall to promote new applications.
II. Number of ATMs or bank branches near where you live, shop, work, or travel.
III. Knowledge of personal usage habits and needs.
A.I and II
B.II and III
C.I and III
D.I, II and III- NOT THE ANSWER
4.When choosing a bank, why might ATM availability be valuable to someone who values convenience over cost?
A.ATM's allow you to conduct bank transactions without going to the bank, so a bank without ATM's will require you to come in to the main office for everything.-NOT THE ANSWER
B.Checks are deposited in ATM's, so some retailers will not accept checks from a bank without ATM service.
C.A greater availability of ATM's may make it easier to do bank transactions. Someone may choose this availability over a higher savings interest rate.
D.ATM cards double as debit cards, so a bank without ATM service cannot issue debit cards.
5.Assume that you are going to open a checking account. You are examining different banks and banking accounts to choose a bank account for your needs. Which of the following statements should not be one of your reasons for examining different banks?
A.Being more informed leads to being better prepared to make financial decisions.-NOT THE ANSWER
B.Bank E offers you a chocolate bar for filling out an application for checking and credit at the same time.
C.Banks could have charges that you do not know about until reading carefully.
D.You will become more aware of how well the banks meet your particular needs.
6. Which of the following is not something that you could do with a normal checking account?
A.Deposit cash into your account.
B.Demand in writing that money be paid to another person from your account.-NOT THE ANSWER
C.Give permission to a merchant to demand money from your account.
D.Make purchases or get cash now, and pay back the bank in monthly payments.
7.A point of sale transaction occurs when an ATM withdrawal is made.
Please select the best answer from the choices provided
T-THIS IS THE CORRECT ANSWER ON E2020
F
8.Elizabeth has $252.00 in her account on Sunday. Over the next week, she makes the following changes to her balance via deposits and purchases:
Day
Debit ($)
Credit ($)
Monday
114.60
150.00
Tuesday
79.68
Wednesday
161.39
Thursday
57.40
Friday
22.85
75.00
Saturday
140.55
On what day does Elizabeth first get charged an overdraft fee?
A.Wednesday
B.Thursday
C.Friday-NOT THE ANSWER
D.Saturday
9.Consider the following incomplete deposit ticket:
What was Art’s total deposit? 1st deposit picture
A.$1,701.23
B.$1,545.83
C.$1,856.63- NOT THE ANSWER
D.$1516.35
10.
1. Given gross salary is = $768
Federal tax withholding = $68
Social security = 6.2% or 0.062*765 = $47.43
Medicare tax = 1.45% or 0.0145*765 = $11.09
State tax = 22% or 0.22*68 = $14.96
Now net salary = gross salary - tax deductions
[tex]765-(68+47.43+11.09+14.96)[/tex] = $623.52 (option D)
2. [tex]\frac{33500-28600}{28600}*100[/tex] = 17.13% (option D)
3. Option B.II and III
4. B.Checks are deposited in ATM's, so some retailers will not accept checks from a bank without ATM service.
5. B.Bank E offers you a chocolate bar for filling out an application for checking and credit at the same time.
6. D.Make purchases or get cash now, and pay back the bank in monthly payments.
7. A point of sale transaction occurs when an ATM withdrawal is made- yes this is right.
8. The answer is Thursday.
9. No picture given.
how many frogs in the population do not have spots on their back
write always, sometimes or never,a conjecture is _____ true
Several shapes are cut out of a piece of cardboard. Two squares of length x, five rectangles of length x and width y and two circles with radius z. The two squares and four of the rectangles are glued together to form a prism, and the two circles and the remaining rectangle are used to form a cylinder with height y. Which represents the combined volume of the two figures?
Can someone help me? Please show your work.
Given: C is a point on the perpendicular bisector, l, of AB.
Prove: AC = BC
Use the drop-down menus to complete the proof. By the unique line postulate, you can draw only one segment, BC. Using the definition of reflection, reflect BC over l. By the definition of reflection, C is the image of itself and A is the image of B. Since reflections preserve length, AC = BC.
(1 pt) find the coordinates of the point (x, y, z) on the plane z = 3 x + 4 y + 4 which is closest to the origin.
The solution to the problem involves setting up and solving a system of equations derived from the distance function in 3D. The minimum point of the distance function corresponds to the point in the plane that's closest to the origin.
Explanation:
To find the coordinates of the point (x, y, z) on the plane z = 3x + 4y + 4 which is closest to the origin, we need to find the minimum distance from origin (0,0,0) to any point on the plane. The distance equation is given by √[(x₂−x₁)²+(y₂−y₁)²+(z₂−z₁)²]. This is simply Euclidean distance in 3D.
In this case, we can define the distance function d = √(x² + y²+ (3x + 4y + 4)²). To find the minimum distance, we take the derivative of this distance function with respect to both x and y, set them to 0, and solve the resulting equations. The solutions to these equations yield x and y. We substitute x and y into z = 3x + 4y + 4 to get z.
Finally, solving these equations we obtain the coordinates of the point (x, y, z) on the plane that is closest to the origin.
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Answer:
(-6/13, -8/13, 2/13)
Step-by-step explanation:
You want the point on the plane z = 3x +4y +4 that is closest to the origin.
Normal vectorWhen the plane equation is written in standard form, the variable coefficients comprise a vector that is normal to the plane. The line normal to the plane and passing through the origin can be written in terms of this vector. Solving for the variable in that equation lets us find the point on the plane where the line intersects.
The standard form equation for the plane is ...
3x +4y -z = -4 . . . . . . . subtract 4+z from the given equation
Then the normal to the plane is ...
N = (3, 4, -1)
and the vector equation of the line through the origin is ...
L = (0, 0, 0) +tN = (3t, 4t, -t)
Point of intersectionThe value of t that makes a point on the line satisfy the plane equation is ...
3(3t) +4(4t) -(-t) = -4
26t = -4
t = -4/26 = -2/13
Then the point tN is ...
(-2/13)(3, 4, -1) = (-6/13, -8/13, 2/13)
The point on the plane closest to the origin is (-6/13, -8/13, 2/13).