Which of the following mixed numbers is equivalent to 12.1 6 ?
Would it still be the same if the 6 was terminated?
△PQR is similar to △STU . In addition, m∠U=96° and m∠T=6(m∠P) . What is m∠P ? Enter your answer in the box. °
Answer:
[tex]m\angle P=12^{\circ}[/tex]
Step-by-step explanation:
Two triangles are similar if their angles are equal one to one.
So:
[tex]m\angle P= m\angle S\\m\angle Q= m\angle T\\m\angle R= m\angle U[/tex]
Also, the problem provided this data:
[tex]m\angle T= 6(m\angle P)[/tex]
As you may know, the sum of the interior angles of a triangle is equal to 180, so:
[tex]m\angle S+m\angle T + m\angle U=180\\\\Where:\\\\m\angle T=6(m\angle P)\\\\So:\\\\m\angle S+6(m\angle P) + m\angle U=180[/tex]
and:
[tex]m\angle P=m\angle S\\\\Hence\\\\m\angle S+6(m\angle S) + m\angle U=180\\\\7(m\angle S) + m\angle U=180\\\\7(m\angle S) + 96=180[/tex]
Solving for [tex]m\angle S[/tex]
[tex]m\angle S =\frac{180-96}{7} =12^{\circ}[/tex]
Since:
[tex]m\angle P= m\angle S=12^{\circ}[/tex]
Therefore [tex]m\angle P=12^{\circ}[/tex]
In triangle ∆PQR, C is the centroid.
If PX = 25, find PQ
If CY = 9, find PC and PY
If QC = 12, find ZC and ZQ
not 100% sure how to figure this out
Write the polynomial in standard form. Then identify the polynomial by the number of terms. -5x^2-2x^3-4x
A
-4x-2x^3-4x; binomial
B.
-4x-5x^2-2x^3; trinomial
C.
-2x^3-5x^2-4x; trinomial
D.
-2x^3-4x-5x; binomial
Victor will borrow $6800 at 13.5% APR. He will pay it back over 3 years. What will his monthly payment be?
$156.47
$227.46
$230.79
$324.90
Final answer:
Victor's monthly payment for the $6800 loan at 13.5% APR over 3 years is approximately $227.46.
Explanation:
To calculate Victor's monthly payment for a loan of $6800 at an APR of 13.5% over 3 years, we need to first convert the annual rate to a monthly interest rate. This is done by dividing the APR by 12 (months in a year). So, the monthly interest rate is 13.5% divided by 12, which is approximately 1.125% per month or 0.01125 in decimal form.
Next, we use the formula for an amortizing loan payment:
P = (Pv*r) / (1 - (1+r)⁻ⁿ)
Where P is the monthly payment, PV is the present value or the amount of the loan, r is the monthly interest rate in decimal form, and n is the total number of payments (months).
For Victor's loan, we have:
Present Value (PV) = $6800
Monthly Interest Rate (r) = 0.01125
Total Number of Payments (n) = 3 years * 12 months/year = 36 months
Substituting the given values into the formula yields:
P = ($6800 * 0.01125) / (1 - (1+0.01125)⁻³⁶)
Calculating the above expression, we find that Victor's monthly payment is approximately $227.46, which is one of the options given.
Which graph shows a proportional relationship?
Answer choices attached.
Express the difference in the means as a multiple of their ranges.
Hence, the difference in mean is represented as:
12=2.5×5
where 5 is the range and 12 is the difference in the mean.
Step-by-step explanation:Shade plant Height (in.)
7 11 11 12 9 12 8 10
Minimum value=7
and Maximum value=12
Range=Maximum value-Minimum value
This means that Range is: 12-7=5
Also, the mean is calculated as follows:
[tex]Mean=\dfrac{7+11+11+12+9+12+8+10}{8}\\\\\\Mean=\dfrac{80}{8}\\\\\\Mean=10[/tex]
Sun Plant heights (in.)
21 24 19 19 22 23 24 24
Minimum value=19
and Maximum value=24
Range=Maximum value-Minimum value
This means that Range is: 24-19=5
Also, the mean is calculated as follows:
[tex]Mean=\dfrac{21+24+19+19+22+23+24+24}{8}\\\\\\Mean=\dfrac{176}{8}\\\\\\Mean=22[/tex]
Difference in mean is: 22-10=12
Also, the range of both the set is: 5
Hence, the difference in mean could be expressed as:
12=5×n
Hence, n=2.5
The expression (12 = 5×2.4) represents the difference in the means as a multiple of their ranges if the mean for the first data set is 10 and for the second data set is 22.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
For the first data:
The mean can be calculated as follows:
[tex]\rm Mean = \frac{\sum x}{n}[/tex]
[tex]\rm Mean = \frac{7 + 11+ 11+ 12 + 9+ 12+ 8+ 10}{8}[/tex]
Mean(1st data set) = 10
For range:
The minimum value in the data set = 7
The maximum value in the data set = 12
Range = 12 - 7 ⇒ 5
For the second data set:
The mean can be calculated as follows:
[tex]\rm Mean = \frac{\sum x}{n}[/tex]
[tex]\rm Mean = \frac{21 + 24 + 19 + 19 + 22 + 23 + 24 + 24}{8}[/tex]
Mean(2nd data set) = 22
For range:
The minimum value in the data set = 19
The maximum value in the data set = 24
Range = 24- 19 ⇒ 5
Difference in means = 22 - 10 ⇒ 12
Since the range is the same for both the data set.
From the problem:
12 = 5×n
n = 2.4
Thus, the expression (12 = 5×2.4) represents the difference in the means as a multiple of their ranges if the mean for the first data set is 10 and for the second data set is 22.
Learn more about the mean here:
https://brainly.com/question/22871228
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Six people are standing in line for concert tickets. Their average age is 27. The average age of the first four people in line is 23. The average age of the last three people is 34. How old is the fourth person in line?
a.)28
b.)26
c.)30
d.)32,
The best answer for this question would be:
D. 32
In order to get this, you have to get the sum in the line, which is the first four people. So the solution would be: 4(23) = 92
For getting the sum of the people in the last 3 would be: 3(34) = 102
Next is the sum of everyone which the solution would be: 6(27) = 162
So the initial solution that we have now would be: F + 92 - F + 102- F = 162
- F + 194 = 162
- F = 162 - 194
- F = - 32
The (F) here or the fourth person’s age would be= -32 / - 1 or 32
Pat's Pizza made 21 cheese pizzas, 14 veggie pizzas, 23 pepperoni pizzas, and 14 sausage pizzas yesterday.
Based on this data, what is a reasonable estimate of the probability that the next pizza made is not a cheese pizza?
Aflati masurile unghiurilor unui patrulater convex ,daca ele sunt direct proportionale cu numerele.2,3,6,7.,
Rewrite the rational exponent as a radical exponent
Which of these options for saving money typically offers the most liquidity?
A. A savings bond
B. A money market account
C. A certificate of deposit
D. A basic savings account
@soccerman,
Answer:
this guy should not be certified, it's savings bond just had the question
A P E X
From 1980 to 1990, the consumer price index (CPI) increased from 82.4 to 130.7. If a gallon of apple juice cost $0.95 in 1980 and the price of apple juice increased at the same rate as the CPI from 1980 to 1990, approximately how much did a gallon of apple juice cost in 1990?
A. $0.56
B. $0.82
C. $1.51
D. $1.31
Answer:
The cost of the gallon of the apple juice is approximately $1.51 in 1990. (Option C)
Step-by-step explanation:
As it can be assumed that the increase of the gallon of apple juice is proportional to the increase of the CPI, we can state that the rate of the price of 1990 to the price of 1980 is the same than the rate of the CPI in 1990 to the CPI in 1980:
$130.7 / $82.4 = Pg (1990)/ $0.95
Where Pg (1990) is the apple juice gallon cost for 1990. By solving the equation above:
$130.7 / $82.4 * $0.95 = Pg (1990)
Pg (1990) = $1.5068 ---> Pg (1990) = $1.51
write the rule for the table as an algebraic expression.
the table shows
in : x | 2 | 3 | 4 | 5
out: y 5 | 7 | 9 | 11 | plz answer
Working together 6 friends picked 14 2/5 lb of pecans at a pecan Farm. They divided the pecans equally among themselves. How many pounds does each friend get?
An equilateral triangle has a length of 18 feet, determine the length of the triangle
A(n)=−5+6(n−1)a, left parenthesis, n, right parenthesis, equals, minus, 5, plus, 6, left parenthesis, n, minus, 1, right parenthesis find the 12^\text{th}12 th 12, start superscript, t, h, end superscript term in the sequence. answer
The 12th term in the sequence is 61.
Explanation:The given sequence is defined by the formula A(n) = -5 + 6(n-1), where n represents the term number. To find the 12th term, substitute n = 12 in the formula.
A(12) = -5 + 6(12-1) = -5 + 6(11) = -5 + 66 = 61
Therefore, the 12th term in the sequence is 61.
Learn more about Finding the nth term in a sequence here:https://brainly.com/question/31162467
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The 12th term of the arithmetic sequence is calculated using the formula A(n) = -5 + 6(n-1) by substituting n with 12, resulting in the term being 61.
The 12th term of the sequence can be found using the arithmetic sequence formula provided. We will use the clarified formula A(n) = -5 + 6(n-1) to find the 12th term.
Firstly, plug in the value of n = 12 into the formula to compute the 12th term:
A(12) = -5 + 6(12-1)A(12) = -5 + 6(11)A(12) = -5 + 66A(12) = 61Therefore, the 12th term in the sequence is 61.
Suppose you earn 15$ for each car you wash. Which function describes the relationship between your total earnings E and the number of cars you wash, c?
A) E(c) = c + 15
B) E(c) = 15c
C) c = 15E
D) E(c) = c - 15
John has read the first 114 pages of a novel. He has read 3 pages less than one-third of the novel.
Write an equation to describe the total number of pages p in the novel, and find the value of p.
Hellpppppp,
Use the information given to determine Whether bd||ae
What is the coefficient of 12a+5
Use a calculator to convert the angle to a decimal in degrees 61 59'20"
Lee’s family had a garden in the shape of a right triangle. The total area of the garden is 16 square feet. If they expand the garden to form a triangle with twice the base and twice the height, by how much will they increase the size of their garden?
Answer:
The size of the garden increases by 48 square feet.
Step-by-step explanation:
Hit that thanks button and vote so I can answer more questions! :)
Answer:
The answer is C or 48 square feet
Step-by-step explanation:
If a circle has a radius of 20.5 cm, what is its circumference?
One number is equal to the square of another. find the numbers if both are positive and their sum is 18921892.
!!!!!HELP PLEASE!!!
Which of the following statements is NOT true?
A. Every function can be represented by a graph in the Cartesian plane.
B. Another name for an x-intercept is a real zero.
C. A function can have several y-intercepts.
D. A function can have infinitely many x-intercepts.
Final answer:
The statement that is NOT true is that a function can have several y-intercepts.
Explanation:
NOT true statement: C. A function can have several y-intercepts.
In a Cartesian plane, a function typically has only one y-intercept, where it crosses the y-axis.
A y-intercept represents the point where the function intersects the y-axis, indicating the value of the function when the input is zero.
The perimeter of the scalene triangle is 54.6 cm.
Which equation can be used to find the value of b if side a measures 8.7 cm?
A) 8.7 + b = 54.6
B) 17.4 + b = 54.6
C) 26.1 + b = 54.6
D) 34.8 + b = 54.6
Its not b but if I had to guess I would say c
Think about parallel and perpendicular lines. In what profession might a person rely upon this information? Describe how that person would apply these concepts? @malcolmmcswain,
Which monomial function has a maximum value?
(Can anyone explain how you can tell?)
y=-6x^3
y=-5x^4
y=5x^6
y=6x^5,
To determine which of the following monomial function has a maximum value, you have to assume the value of x. Let us say the value of x is 2. Substitute 2 for all x’s in the monomial function.
y=-6x^3 = -6(2)^3 = -48
Answer:
[tex]y=-5x^4[/tex]
Step-by-step explanation:
Remember that a maximum value (global) of a function is the bigest value that the function takes.
For see the values of the functions you can see its graphs.
I have uploaded the graphs of the functions in the question and you can see it, and then convince yourself why the answer is y=-5x^4.
Also you have the fact that the functions of the form [tex]y=kx^n [/tex] have a maximum value only if [tex]n[/tex] is an even natural number and k is a negative real number.
Find the value of y.
A.
18
B.
22
C.
24
D.
28
Answer:
C. 24
Step-by-step explanation:
ED2021