Given:
Given that a figure.
Required:
To find the
\(\begin{gathered} \angle1 \\ \angle2 \\ \angle3 \end{gathered}\)Explanation:
Now consider the first triangle in the given figure.
We know that the total angle sum in triangle is 180 degree.
Consider the unknown angle in triangle as x.
Consider the unknown anlge in t
Therefore,
\(\begin{gathered} 70\degree+55\degree+x=180\degree \\ 125\degree+x=180\degree \\ x=180\degree-125\degree \\ x=55\degree \end{gathered}\)The angle of straight line is 180.
Therefore
A pillow that usually costs $18 is marked down 25%. Which expressions can be used to find the new price of the pillow? Check all that apply.
18 – 0.25(18)
18 – 0.75(18)
0.25(18)
0.75(18)
18(0.25) + 18
Answer:
a and d
Step-by-step explanation:
brainliest if you want :)
Answer:
A or 18 – 0.25(18)
and
D or 0.75(18)
Step-by-step explanation:
Have great rest of your day. I know this works because I got it correct on the assignment. Good luck! :)
\( \frac{4x + 9}{ \frac{7}{3} } = \frac{3x}{0.5} \)
Help me solve for x pls TvT.
Answer:
Step-by-step explanation:
(4x+9)/(7/3)=(3x)/(1/2)
(12x+27)/7=6x
12x+27=42x
-30x+27=0
-30x=-27
x=27/30
x=9/10
Answer:
I got x=0.
Step-by-step explanation:
Tell me if I am wrong.
What is the slope of (-1,-9) and (0,-3)
Answer:
i belive the awnser to this is m=6
The probability that a visitor's first ride at a
theme park will be the roundabout or the
pirate ship is 20% +0.42
Work out this probability as a decimal.
Answer:
Step-by-step explanation:
To calculate the probability that a visitor's first ride at a theme park will be either the roundabout or the pirate ship, we add 20% and 0.42. To convert 20% to a decimal, we divide it by 100, which gives us 0.20. Adding this to 0.42 gives us a total probability of 0.62. Therefore, there is a 62% chance that a visitor's first ride at the theme park will be either the roundabout or the pirate ship. It's important to note that the probability of each ride individually is not provided, so we cannot determine the likelihood of a visitor riding each ride separately.
The probability in terms of decimal will be 0.62 .
Given,
The probability that a visitor's first ride at a theme park will be the roundabout or the pirate ship is 20% +0.42 .
Here,
To calculate the probability that a visitor's first ride at a theme park will be either the roundabout or the pirate ship, we add 20% and 0.42.
To convert 20% to a decimal, we divide it by 100, which gives us 0.20.
Adding this to 0.42 gives us a total probability of 0.62.
Therefore, there is a 62% chance that a visitor's first ride at the theme park will be either the roundabout or the pirate ship.
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University Law School accepts 4 out of every 9 applicants. If the school accepted 280 students, find how many applications they received.
Answer: 630
Step-by-step explanation:
Accepts: 4/9
x times 4/9 = 280
x = 630
The underlined digit is 3 wat the value of this number
285,003
Answer:
just 3
Step-by-step explanation:
it would be just 3 because there is no number behind it
Compare the investment below to an investment of the same principal at the same rate compounded annually.
principal: $5,000, annual interest: 9%, interest periods: 4, number of years: 18
After 18 years, the investment compounded periodically will be worth $? more than the investment compounded annually.
(Round to two decimal places as needed.)
After 18 years, the investment compounded periodically (quarterly) will be worth $1,230.23 more than the investment compounded annually.
What is compounded interest?Compounded interest refers to the interest system that charges interest on both principal and accumulated interest.
The period of compounding in a year determines the worth of the future value.
The future value can be ascertained using an online finance calculator as follows:
Interest periods: = 4 times yearly (Quarterly)
Principal = $5,000
Annual interest rate = 9%
Number of years: 18
N (# of periods) = 72 quarters (18 years x 4)
I/Y (Interest per year) = 9%
PV (Present Value) = $5,000
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $24,815.83
Total Interest = $19,815.83
Interest periods: = Annually
N (# of periods) = 18 years
I/Y (Interest per year) = 9%
PV (Present Value) = $5,000
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $23,585.60
Total Interest = $18,585.60
Difference in Future Values $1,230.23 ($24,815.83 - $23,585.60)
Thus, an investment compounded periodically earns more than an investment compounded annually.
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Find the equation of a line parallel to −3x−4y=−3 that contains the point (5,−1).
Please help me!!
I need to turn in this homework soon
Answer:
Step-by-step explanation:
Discussion
Let's consider an rational number for a moment. If I tell you that the fraction you used was 1/3 and gave you the first couple of numbers as in
1/3 = 0.33333.....
and asked you what the next number is, you should be able to tell me that the number to write down is 3.
Even something like 1/7 is well behaved.
1/7 = 0,142857142857142857 .... and tell you I want the next number, you should be able to see it as 1.
But an irrational number can't be handled that way. If I ask for the next digit after 5 when taking the square root of 2, you would have no idea what I was talking about without the help of a calculator.
Now if you multiply a rational by an irrational, you just get a bigger irrational, but it remains irrational.
The statement is false.
Find the amount (future value) of the ordinary annuity. (Round your answer to the nearest cent.)
$300/week for 9 1/2
years at 5.5%/year compounded weekly
Answer: $227,226.51
Step-by-step explanation:
First, we need to convert the period to weeks.
9 1/2 years = 9.5 years
1 year = 52 weeks
9.5 years = 494 weeks
Next, we can use the formula for the future value of an annuity:
FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)
where:
PMT = payment amount per period
r = annual interest rate
n = number of compounding periods per year
t = number of years
Plugging in the given values:
PMT = $300
r = 0.055 (5.5% expressed as a decimal)
n = 52 (compounded weekly)
t = 9.5 years = 494 weeks
FV = ($300 x (((1 + 0.055/52)^(52*494)) - 1)) / (0.055/52)
FV = $227,226.51
Therefore, the future value of the annuity is approximately $227,226.51.
Which product is greater than 63
Answer:
3/2 times 63
Step-by-step explanation: took quiz
write the ratio as a fraction in simplest form 35 to 112
Answer:
5 :16
Step-by-step explanation:
35:112 <===== divide both by '7 ' to get 5/16
Cómo se hace y cómo es el proceso ayuda porfaaaaa
Answer:
30: 100
31: -13
32: -45
33: 14
34: -32
35: -22
36: 17
What is the present value of R13 000 p.a. invested at the beginning of each year for 8years at 10%p.a. compound interest? (NB Use the compound interest tables provided or work to three decimal places only.)
Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:
PV = A *\((1 - (1 + r)^(-n)) / r\)
Where:
PV = Present value
A = Annual payment or cash flow
r = Interest rate per period
n = Number of periods
In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).
Using the formula and substituting the given values, we can calculate the present value:
PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)
Calculating this expression:
PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)
= 13000 * (1 - 0.46318) / 0.10
= 13000 * 0.53682 / 0.10
= 6977.66 / 0.10
= 69776.6
Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
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10.8.8 Check Your Understanding
Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to
park her car. Each night, the hotel charged d dollars and $17.20 for parking. Which equation represents the total
amount, in dollars, Allison paid for the three nights?
A) d+3(17.20) = 782.07
(B) 3d+17.20 = 782.07
C) 3(d-17.20) = 782.07
D) 3(d+17.20) = 782.07
We can see that the correct equation that can depict the problem is 3(d+17.20) = 782.07. Option D
Which equation shows the total charge?We have to look at the problem that we have here. In the case of the question that we have been asked, we can see that for the problem that has been given here, it is clear that; Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to park her car.
If it is known that Each night, the hotel charged d dollars and $17.20 for parking. We can say that let the amount that is charged for the lodging be d and we have the equation as; 3(d+17.20) = 782.07.
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Audrey's father gave her 20 tokens to use at Action
Adventure Arcade. She spent 1 out of every 4 tokens on the
motorcycle racing game.
How many tokens did Audrey spend on the motorcycle racing game?
Answer:
5 tokens
Step-by-step explanation:
She spent 1 out of every 4 tokens, meaning there are a couple of sets of 4 that we don't know many they are yet that she kept taking from every set 1 token, so if we do,
(Her total tokens) 20 ÷ 4 = 5.
This means that there's 5 sets, then we take 1 from every set so 1 × 5 = 5, that's it
I don't know if that was quite clear tho you can imagine it in a more virtual than mathematical way if you like,
Now Imagine you have 20 tokens in your hand, and you divide them into 5 sets, each set is a set of 4, you keep 3 in your hand then put 1 on a table, then you do this 5 times you'll end up with 5 tokens on the table and 15 in your hand.
You can try that yourself if you want it to be more clear.
Take 20 small pieces of paper, sticky notes or coins whatever you like, then divide them into sets of 4, then lastly take only 1 from each set (and by the way you'll notice that dividing each set into a set of 4 will make you automatically end up with 5 sets) now count all the 1's you collected from each set
they should be 5.
Please help I been stuck on this question for so long
Answer: 1/ 3 ^9
Step-by-step explanation:
Answer:
1/39
Step-by-step explanation:
3-9=1/39
The answer is 0ne over three exponent nine
The company also has plans to open a third obstacle course, The Gridiron, where the first three checkpoints will have coordinates A′′(0,−5), B′′(9,−5), and C′′(4,−5). What relationship could this location have to the previous locations? Select all answers that apply.
Answer: It is a reflection of Reflections of You (second location) in the x-axis.
Step-by-step explanation: Based on the given information, the relationship between the new location (The Gridiron) and the previous locations can be determined.
The correct answer is:
It is a reflection of Reflections of You (second location) in the x-axis.
The coordinates of the first three checkpoints of The Gridiron (A''(0,−5), B''(9,−5), and C''(4,−5)) indicate that they have the same y-coordinate (-5) as the corresponding checkpoints in the second location, Reflections of You. However, there is no indication of a reflection in the y-axis or any transformation related to the first location, Transformation Fitness Studios. Therefore, the correct answer is that The Gridiron is a reflection of Reflections of You in the x-axis.
Tom works for a constant hourly wage of w dollars. Which answer shows the correct relationship between e Tom total earnings in a week and h the number of hours he worked during the week
Answer:
e = wh
Step-by-step explanation:
solve pls brainliest
Answer:
9/0= undefined
0/8=0
Step-by-step explanation:
like previous one
Help please!! I’ll give brainliest if you show work as well. Thank you!!!
Answer:
TWO CRACKERS
Step-by-step explanation:
I'm assuming they want to find x. Here we see that these two are similar triangles, so the sides are reflective. 5x/5 should be equal to 4/x, so 5x/5 = 4/x. If we use cross multiplying we get 5x^2 = 20. divide both sides by 5 and we get x^2 = 4 or x = 2.
Hope this helped
The following are the weights of 10 young dogs, in pounds: 7,5, 11, 8, 14, 19, 16, 15, 13, 27 Find the sample variance (round off to first decimal place).
the Sample variance is. \($s^2\)=41.4
Sample variance can be defined as the expectation of the squared difference of data points from the mean of the data set. It is an absolute measure of dispersion and is used to check the deviation of data points with respect to the data's average.
Sample variance is used to measure the spread of the data points in a given data set around the mean. All observations of a group are known as the population. When the number of observations start increasing it becomes difficult to calculate the variance of the population. In such a situation, a certain number of observations are picked out that can be used to describe the entire group. This specific set of observations form a sample and the variance so calculated is the sample variance.
the weights of 10 dogs in pounds 7,5,11,8,14,19,16,15,13,27
Sample size, \($n=10$\)
Sample mean
\(\begin{aligned}\bar{x}=\frac{\sum x}{n} & =\frac{7+5+11+8+14+19+16+15+13+27}{10} \\& =\frac{135}{10}=13.5\end{aligned}$$\)
Sample Variance
\(\begin{aligned}& \begin{array}{r}\text { } \\\left(s^2\right)\end{array} \frac{1}{n-1} \sum_{i=1}^n\left(x_i-\bar{x}\right)^2 \\& =\frac{1}{10-1}\left[(7-13.5)^2+(5-13.5)^2+(11-13 \cdot 5)^2+(8-13.5)^2+(14-13 \cdot 5)^2+\right. \\& (19-13 \cdot 5)^2+(16-13 \cdot 5)^2+(15-13 \cdot 5)^2+(13-13 \cdot 5)^2+(27-13.5)^2 \\& =\frac{1}{9}[42.25+72.25+6.25+30.25+0.25+30.25+6.25+2.25+ \\& 0.25+182.25 \text { ] } \\& =\frac{1}{9}[372.5] \\& =41.38888889 \approx 41.4 \\&\end{aligned}\)
Therefore, the Sample variance is. \($s^2\)=41.4
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Find the distance from the point (−10,−5) to the line y = −5x − 3. Question options:
A. 2 √26 units
B. √24 units
C. 4 √6 units
D. √26 units
Answer:
The answer is not D it's A
Step-by-step explanation:
I just took the test
Central Middle School has a triangular patio where students eat lunch. A scale drawing of the patio is shown. The scale is 1 in. : 9 ft. What is the area of the patio in the drawing? When the base and height are: 5 and 4? What is the area in the drawing?
The area of triangular patio = 810 sq. ft
and In drawing, The area of triangle = 10 sq. In
What is area of triangle?A triangle is a closed figure that has three vertices, three sides, and three angles. The entire area filled by a triangle's three sides in a two-dimensional plane is referred to as the triangle's area. The fundamental equation for a triangle's area is A = 1/2 b h, where b and h are the product of the triangle's base and height.
Given that in drawing the base and height of a triangular patio are: 5 In and 4 In.
and A scale drawing of the patio is 1 in. : 9 ft
So that the the base and height of a triangular patio are 5*9 ft = 45ft and 4*9 ft = 36 ft
The area of triangular patio = 1/2 * base * height
The area of triangular patio = 1/2 * 45 * 36 sq. ft
The area of triangular patio = 810 sq. ft
In drawing, The area of triangle = 1/2 * base * height
The area of triangle = 1/2 * 5 * 4 sq. In
The area of triangle = 10 sq. In
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Grapes are on sale for $0.98 per pound and Bart wants to purchase 4 pounds of grapes. How much will he spend?
$3.82
$3.91
$3.92
$3.93
Answer:
The answer is $3.91 hope it is help you
Find the measure of angle J
Answer:
Step-by-step explanation:
Equals 23x
Jodie wanted to match Mandy's obstacle course record of 73.4 seconds. She had already spent seconds on wall climbing and 11.78 seconds on the ropes. How much time did she have left to match the record?
61.62 seconds
42.03 seconds
31.37 seconds
11.40 seconds
Answer:its C 31.37
Step-by-step explanation:
The time left to match the record will be 61.62 seconds. The correct option is A.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Jodie wanted to match Mandy's obstacle course record of 73.4 seconds. She had already spent seconds on wall climbing and 11.78 seconds on the ropes.
The time left to match the record will be calculated as below:-
Time left = 73.4 - 11.78 = 61.62
Therefore, the time left to match the record will be 61.62 seconds. The correct option is A.
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what number represents the same amount as 2 hundreds + 12 tens + 6 ones ?
Answer:
326
Step-by-step explanation:
The value of the given expression is 326.
Given:
The given expression 2 hundreds + 12 tens + 6 ones.
To find:
The value of the given expression.
Explanation:
The numeric form of given expression is:
2 hundreds + 12 tens + 6 ones
2 hundreds + 12 tens + 6 ones
2 hundreds + 12 tens + 6 ones
Therefore, the value of the given expression is 326.
What is the smallest positive integer which when divided by 5 leaves a remainder of 3?
The smallest positive integer which when divided by 5 leaves a remainder of 3 is 8
How to determine the smallest positive integerFrom the question, we have the following parameters that can be used in our computation:
Divisor = 5
Remainder = 3
Using the above as a guide, we have the following:
Smallest integer = Divisor + Remainder
So, we have
Smallest integer = 5 + 3
Evaluate
Smallest integer = 8
Hence, the smallest is 8
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. Why is the following arrangment of squares not an array?
When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.
An array is a set of objects or values that are organized in a specific order. It is used in programming, mathematics, and other fields to make data manipulation and analysis easier.
When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.
For example, if a set of squares is arranged in a random or disorganized manner, it cannot be considered an array because it does not meet the orderly requirement. Additionally, if the number of squares in each row or column is different, it cannot be considered an array because it does not meet the uniformity requirement.
Overall, it is important to remember that an array is a specific type of organization and cannot be applied to any random set of objects or values.
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