Answers
Related Questions
Rewrite the rational exponent as a radical exponent
Answers
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
Answers
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.
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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.
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
Answers
To solve this, start with a proportion. Put the CPI numbers on the left and the apple juice prices on the right.
You will have:
82.4/130.7 = 0.95/x
Cross multiply to solve and you will get the price of the juice is $1.51.
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
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
Answers
Hope this helped!
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.
An equilateral triangle has a length of 18 feet, determine the length of the triangle
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Do you mean the altitude of the triangle, since you are already given the length?
If you are looking for an altitude, you can start by drawing it in your triangle. You will see that it divides the triangle into two 30, 60, 90 triangles. The short leg of the triangle is 6, so using the rules for a 30, 60, 90 triangle the longer leg (your altitude) would be 6 square roots of 3. Or about 10.39.
If this isn't what you are looking for, let me know.
I can try and help.
Good luck!
Use a calculator to convert the angle to a decimal in degrees 61 59'20"
Answers
Explanation:
You can determine which the conversion through this calculation:
1) 1° = 60 ' => 59' = 59/60 ° = 0.98333°
2) 1' = 60'' => 20'' = 20/60 ' = 0.33333' = 0.33333 / 60 ° = 0.00555°
3) Add 59/60 ° + 20/60/60° = 0.9889°
4) Add the decimal part to 61° => 61.9889 °≈ 61.99°
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
Answers
Its not b but if I had to guess I would say c
Consumer math help
1. When you pay a bill in full, you are
a. paying it off
b. defaulting
c. maximizing profit
d. zeroing
2. APR stands for
a. annual partial
b. amortized percentage rate
c. annual percentage rate
d. amortized partial rate
3. when calculating interest accrued, you should
a. multiply the principal by APR
b. multiply the principal by the APR and number of months
c. multiply the principal by the APR and number of months, then divide by the total number of the months in the year
d. multiply the principal by the APR and the number of months in the year, then divide by the,
Answers
Answer:
A, C, C
Step-by-step explanation:
Some other dude answered it. I just simplified his answer.
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
Answers
-5x^2[?]-2x^3
-5x^2[<]-2x^3
so:
-2x^3-5x^2-4x
Second part:
a term is either a single number or variable, so we can conclude that (-5x^2) is a single term, so is (-2x^3) and (4x) because there are 3 terms this would be considered a Trinomial. Looking at the answers we can single out A and D because they do not have Trinomial in the answer. Since the standardized form starts with (-2x^3) We can single out B. giving us the answer of C.
Answer: C
Hope this helped :). Sorry if my grammar is off.
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
Answers
PZ = ZR ... (Equation 1)
QY = YR ... (Equation 2)
PX = XQ ... (Equation 3)
QUESTION 1
If PX = 25, find PQ
From the diagram, PQ = PX + XQ
Remember, PX = XQ ... (Equation 3)
Therefore, PQ = PX + XQ = PX + PX
⇒ PQ = PX + PX
PQ = 2(PX)
Since PX = 25
PQ - 2(25)
PQ = 50
QUESTION 2
If CY = 9, find PC and PY
We know that the centroid of a triangle divides each median into segments with a 2:1 ratio, therefore:
PC = 2(CY)
Since CY = 9,
PC = 2(9)
PC = 18
From the diagram, we see that,
PY = PC + CY
PC = 18, CY = 9
PY = 18 + 9
PY = 27
QUESTION 3
If QC = 12, find ZC and ZQ
Again, going by the fact that the centroid of a triangle divides each median into segments with a 2:1 ratio,
ZC = QC/2
Since QC = 12
ZC = 12/2
ZC = 6
From the diagram, we see that
ZQ = ZC + QC
ZC = 6, QC = 12
ZQ = 6 + 12
ZQ = 18
If a circle has a radius of 20.5 cm, what is its circumference?
Answers
2[tex] \pi [/tex]20.5
after calculating, you should get-
128.8 cm
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?
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14 2/5 divided by 6 = 2 2/5
Use the information given to determine Whether bd||ae
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To determine if the lines are parallel. You need to check if the segments form on each side are proportion.
#8 check to see if: 2/1 = 3/1.2
If you cross multiply, you get 3 = 2.4 which is not true, so the lines are NOT parallel.
#10 check to see if: 6/5 = 9/7.5
If you cross multiply, you get 45 = 45 which is true, so the lines are parallel.
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,
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city purchases a square plot of land with an area of (x2+ 24x + 144) square yards for a park. The dimensions of the plot are of the form ax + b, where a and b are whole numbers. Find an expression in terms of x for the perimeter of the park. An expression in terms of x for the perimeter of the park is Select... select 8) The perimeter of the park when x = 10 yards
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when we factorise this quadratic formula
(x² + 24x + 144)
= x² + 12x + 12x +144
= x ( x+ 12) + 12 (x + 12)
(x+12)(x+12)
the area of the square plot has been calculated by multiplying the lengths of the 2 sides. As its a square, all sides are equal
the length of one side = x+12
the dimensions are given in the form ax + b
from the length x + 12 , a = 1 and b=12
the perimeter of the park = 4 * length of one side
therefore perimeter = 4 * (x+12)
= 4x + 48 yards
next we are asked to find the perimeter when x = 10 yards
perimeter = 4*10 + 48 = 40 + 48 = 88 yards
△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. °
Answers
m∠R = m∠U = 96°
m∠Q = m∠T = 6
m∠P = 180 - ( 96 + 6)
m∠P = 180 - 102
m∠P = 78
answer
m∠P = 78
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]
Which graph shows a proportional relationship?
Answer choices attached.
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The 151 workers at a factory together produce 18 422items per day. What is the daily unit rate of items per worker?
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To find the daily unit rate per worker we use the following formula
[tex] \frac{total \: items}{workers} [/tex]
Filling in this formula gives us
[tex] \frac{18422}{151} = 122[/tex]
Therefore, the daily unit rate per worker is 122 items.
1 worker = 18422 ÷ 151
1 worker = 122 items
------------------------------------------------------
Answer: Daily Rate = 122 items/worker
------------------------------------------------------
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?
Answers
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:
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?
Answers
Being cheese is 21/the total
Total = 21 + 14 + 23 + 14
Total = 72
P(cheese) = 21/72 x 100
About 29%
P(not cheese) =71%
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
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You can use Excel, for example, to graph the ordered pairs in the table.
We observe that when graphing the behavior of the ordered pairs is linear.
The equation of the line is:
y = 2x + 1
Answer:
The rule for the table as an algebraic expression is:
y = 2x + 1
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
Answers
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,
Answers
D) a basic savings account.
Explanation:
Liquidity means ability to withdraw your money quickly.
A savings bond takes time, often years, to mature.
A money market account is fairly liquid, although it can take up to 7 days to withdraw your money.
A certificate of deposit (CD) can be easily withdrawn, but you will lost interest if you do not fulfill the entire term of the CD.
With a basic savings account, you can withdraw money at any time; however you may experience fees for not having met the minimum balance requirements if you're not careful.
Answer:
this guy should not be certified, it's savings bond just had the question
A P E X
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,
Answers
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 = -48y=-5x^4 = -5(2)^4 = -80
y=5x^6 = 5(2)^6 = 320
y=6x^5 = 6(2)^5 = 192 Therefore, the monomial function with the maximum value is y = 5x^6
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.
Express the difference in the means as a multiple of their ranges.
Answers
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:
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Using real life quantities,how will you justify that the derivative of constant is 0?
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The derivative of a constant is zero can be understood by comparing it to traveling at a constant speed, where there is no change or acceleration, hence a rate of change of 0. This is analogous to the slope of a horizontal line (representing a constant function) on a graph, which is also 0.
Explanation:Using real-life quantities, one can justify that the derivative of a constant is 0 by considering the concept of speed. Imagine you are traveling in a car at a constant speed of 60 km/h. The speed does not change over time, meaning there is no rate of change or acceleration. In terms of calculus, this constant speed (constant function) has a rate of change of 0, which is its derivative.
The derivative, in a broader sense, measures the rate of change of a quantity. A constant value does not change, and hence its rate of change, or derivative, is 0. This concept can be geometrically represented as the slope of a line on a graph. A constant function graphs to a horizontal line where the slope, or rise over run, equals 0. Thus, similar to the constant speed with no change, the derivative of any constant value is always zero.
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,
Answers
Let the age of the 4th person be F
Sum of the 1st four in line: 4(23), or 92
Sum of 1st 3: 92 - F (excludes the 4th person's age)
Sum of the last 3 in line: 3(34), or 102
Sum of last 2: 102 - F (excludes the 4th person's age)
Sum of all 6: 6(27), or 162 (INCLUDES 4th person's age)
We now get: F + 92 - F + 102- F = 162
- F + 194 = 162
- F = 162 - 194
- F = - 32
F =32.
Hence ans is op (D).
Hope it helps
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
Aflati masurile unghiurilor unui patrulater convex ,daca ele sunt direct proportionale cu numerele.2,3,6,7.,
Answers
a, b, c, d - măsurile unghiurilor ⇒ a+b+c+d= 360°
[tex]\it \{a,b, c, d\}\ d.p. \{2,3, 6, 7\} \Rightarrow \dfrac{a}{2}= \dfrac{b}{3}= \dfrac{c}{6} =\dfrac{d}{7}= \dfrac{a+b+c+d}{2+3+6+7} = \\ \\ \\ = \dfrac{360^0}{18} =20^0[/tex]
[tex]\it \dfrac{a}{2} =20^0 \Rightarrow a=20^0\cdot2 =40^0 \\ \\ \dfrac{b}{3} =20^0 \Rightarrow b=20^0\cdot3 =60^0 \\ \\ \dfrac{c}{6} =20^0 \Rightarrow c=20^0\cdot6 =120^0 \\ \\ \dfrac{d}{7} =20^0 \Rightarrow d=20^0\cdot7 =140^0[/tex]
Find the value of y.
A.
18
B.
22
C.
24
D.
28
Answers
square root of 576 will be 24 so 24 is y
Answer:
C. 24
Step-by-step explanation:
ED2021
One number is equal to the square of another. find the numbers if both are positive and their sum is 18921892.
Answers
.. n^2 +n = 1892
The solution to this quadratic is
.. n = 43
Your numbers are 1849 and 43.
_____
The product n^2 +n can be written as n(n+1). Since n is fairly large,
.. n + 1/2 ≈ √(n*(n +1))
.. √1892 ≈ 43.497 ≈ 43 1/2
so n = 43.
There are more formal ways to get this result exactly, but it is often convenient to use a square root like this to get you close to the number of interest.