Answer:
t(n) = 1 +6(n -1)
Step-by-step explanation:
The general term of an arithmetic sequence with first term t(1) and common difference d is given by the formula ...
t(n) = t(1) +d(n -1)
__
Using the two given values of n and t(n), we can find the unknown parameters.
13 = t(3) = t(1) +d(3 -1) = t(1) +2d
67 = t(12) = t(1) +d(12 -1) = t(1) +11d
Subtracting the first equation from the second, we get ...
(67) -(13) = (t(1) +11d) -(t(1) +2d)
54 = 9d . . . . simplify
6 = d . . . . . . divide by 9
Substituting into the first equation gives ...
13 = t(1) +2(6)
1 = t(1) . . . . . . . . subtract 12
Using the found values in the equation for the sequence gives ...
t(n) = 1 +6(n -1)
An equilateral triangle has an altitude of 7cm. Which of the following have a proportional relationship to the altitude? Select all that apply.
A. Perimeter
B. Sides
C. Angles
D. Area
E. Vertices
Answer:
A. Perimeter
B. Sides
D. Area
Step-by-step explanation:
Suppose a triangle ABC has sides each of length a
formula:
The altitude of the triangle h equal to :
[tex]h=\frac{\sqrt{3}}{2} a[/tex]
________
Perimeter:
Let’s P be the perimeter of the triangle ABC then P = 3a
[tex]\frac{P}{h}=\frac{3 a}{\frac{\sqrt{3}}{2} a}=\frac{3}{\frac{\sqrt{3}}{2}}=2 \frac{3}{\sqrt{3}}=2 \sqrt{3}[/tex]
P/h is a constant then The perimeter has a proportional relationship to the altitude
______
Sides :
[tex]\frac{h}{a}=\frac{\frac{\sqrt{3}}{2} a}{a}=\frac{\sqrt{3}}{2}[/tex]
h/a is a constant then The side has a proportional relationship to the altitude
______
Area :
Let A be the area of the triangle
[tex]\frac{A}{h}=\frac{a \times h}{h}=a[/tex]
A/h is a constant then The area has a proportional relationship to the altitude
_____
Angles :
The measure Of each angle of an equilateral triangle is always equal to 60°
60/h is not a constant then there is no proportional relationship
______
Vertices:
The vertices are points and not numbers so there is no proportional relationship.
A student spent $18 for a haircut this week. Which event, when combined with the student spending $18, will result in the student having $0 remaining?
A. The student earned $18 for cleaning out his neighbor's garage.
B. The student paid his little brother $18 for doing his chores.
C. The student purchased a gift for his mom for $18.
D. The student gave $18 to a friend.
Answer:
A. The student earned $18 for cleaning out his neighbor's garage.
Step-by-step explanation:
Since it given that a student spend $18 for a haircut this week also means that she/he gave away $18 also known as -$18.
Thus, base on the given answer choices:
[A] is the only one that can make it positive.
Going through all answer choice:
A. The student earned $18 for cleaning out his neighbor's garage.
Earned = +
B. The student paid his little brother $18 for doing his chores.
Paid = -
C. The student purchased a gift for his mom for $18.
Purchased = -
D. The student gave $18 to a friend.
Gave = -
Hence, Answer is A. The student earned $18 for cleaning out his neighbor's garage.
~lenvy~
Answer:
A. The student earned $18 for cleaning out his neighbor's garage.
Step-by-step explanation:
Since given that A student spent $18 for a haircut this week and asking for Which event, when combined with the student spending $18, will result in the student having $0 remaining
Thus, we know that spending is negative because we are using it so it -18
Base on the given answer choice below we can infer that
earned = +
Paid = -
Purchased = -
Gave = -
The only way to make it back with a $0 is to add $18
Thus the answer is A. The student earned $18 for cleaning out his neighbor's garage.
[RevyBreeze]
15. Starting at the age of 40, an average man loms 5% of his hair every year. At
what aye should an average man expect to have hall his hair left?
Answer:
I think 50 yrs old
Step-by-step explanation:
I'm not good at percentages, but if you have 100% hair, and lose 5% every year, 5x10= 50 which can be written as 50%, meaning half of 100%
olive oil is $7.98 for 36 ounces. What is its unit rate? Round your answer to the nearest cent
Answer:
22 cents
Step-by-step explanation:
Rounding the number $0.2217 to the nearest cent, we get $0.22.
Joseph researched the ages of some of his favorite professional
football players. He recorded his results in the dot plot below.
Which of the following statements about the distribution are true?
I. There are two peaks at 27 and 28.
II. The distribution is skewed.
III. The distribution does not have an outlier.
IV. The distribution shows a spread of 5.
I only
I, II, and III only
I, III, and IV only
I, II, III, and IV
The statements that are true about the dot plot are: I, III, and IV only.
What is the Spread of a Data in a Dot Plot?The range, which is the difference between the maximum and minimum value, is a measure of the spread of a data distribution.
In the dot plot given, the spread of the data is: 30 - 25 = 5.
The peak points are at 27 and 28, and the data looks symmetrical in shape with no clear outlier.
Therefore, the statements that are true about the dot plot are: I, III, and IV only.
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first to answer correctly will be marked brainliest
Answer:
I have no clue but i need brainliest
Step-by-step explanation:
Which loan has the lowest total repayment?
==========================================================
Explanation:
Refer back to this related question
https://brainly.com/question/27362373
In that link I detail how to find that
Loan A has a monthly payment of $348.50Loan B has a monthly payment of $518.02Loan A has a duration of 5 years, aka 5*12 = 60 months. Over those 60 months, you'll pay back a total of 60*348.50 = 20,910 dollars for loan A.
Loan B has a shorter duration of 3 years = 3*12 = 36 months. Therefore, you'll pay back 36*518.02 = 18,648.72 dollars in total for loan B.
---------------
Summary total repayment
Loan A = 20,910 dollarsLoan B = 18,648.72 dollarsWe have loan B as the winner in terms of the lowest total repayment. The longer a loan is, the higher chances are that you'll pay back more in interest (thereby making the total repayment larger).
Answer :
Loan BExplanation :
Loan A's monthly payment → $348.50Loan B's monthly payment → $518.02Cost of Loan A repayment
Duration = 5 years = 5 x 12 = 60 monthsCost = 60 x 348.50 = $20,910Cost of Loan B repayment
Loan B has a shorter duration of 3 years = 3*12 = 36 months. Therefore, you'll pay back 36*518.02 = 18,648.72 dollars in total for loan B.
Duration = 3 years = 3 x 12 = 36 monthsCost = 36 x 518.02 = $18,648.72Clearly, Loan B has the lowest total repayment.
Help!!!!!!!!!!!!!!!!!!!!!
Answer:
5pi in
6.25 pi in²
Step-by-step explanation:
The solution is attached
the answer is done by using similarity
MARK ME AS BRAINLISTAnswer:
EDIT: Answer was lost twice when saving, not answering again. Please delete if possible.
There are 5 cups of oatmeal in a container.Stella has1/3 cup of the oatmeal every day for breakfast. In how many days will Stella finish all the oatmeal in the container
Which of the following best describes the expression 9(x + 7)? (5 points)
a
The sum of 9 plus some number plus 7
b
The product of 9 plus some number plus 7
c
The product of 9 and some number plus 7
d
The sum of 9 multiplied by some number plus 7
plsss help asap
Answer:
I guess D. the sum of 9 multiplied by some number plus 7
Brody made his specialty dessert last night. He used 1/2 cup of white sugar and 2/3 cup of brown sugar. How much more brown sugar did Brody use than white sugar?
Answer:
1/6
Step-by-step explanation:
Tell me if you need one
Kevin ours more than emily each time they work together. Using this information, complete the table
Sorry for bad quality
Answer:
i believe the last one would be 9 for the number of hours kevin works.
Step-by-step explanation:
quick qustion the answer is at the tip of my tong but I cant seem to get it right what is 100 divided by 2
Answer:
50
Step-by-step explanation:
100/2=50
Answer:
100 divided by 2 is 50
Step-by-step explanation:
i just did it in my head
Use substitution to solve the system.
-4x+5y = -26
y = 3x-14
Answer:
x= 4, y= -2
Step-by-step explanation:
To solve the system by substitution, start by labelling the two equations:
-4x +5y= -26 -----(1)
y= 3x -14 -----(2)
Since the second equation already has y as the subject of formula, we can substitute equation (2) into (1). This means that we can replace all the 'y's in equation (1) with 3x -4, such that equation (1) will only be in terms of x.
Substitute (2) into (1):
-4x +5(3x -14)= -26
Expand:
-4x +15x -70= -26
11x= 70 -26
11x= 44
Divide both sides by 11:
x= 44 ÷11
x= 4
Substitute x= 4 into (2):
y= 3(4) -14
y= 12 -14
y= -2
Which of the following is larger and why? (Math 8th)
4.235 x 104 and 7.152 x 103
Answer:
4.245 x 10^4
Step-by-step explanation:
10^4 = 10,000
10^3 = 1,000
4.235 * 10,000 = 42,350
7.152 * 1,000 = 7,152
The graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n +c.what does the graph tell you about the value of a in this function?
Answer:
a is less than 0
Step-by-step explanation:
The value of a in this function is a is less than 0 .
What is radical function?A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions. An example of a radical function would be. y=√x.
According to the question
Radical function that can be written in the form
[tex]f(x)=a(x+k)^{1/n} +c.[/tex] ------------------------(1)
By solving this equation we will get value of a and c
differentiating the equation
[tex]f'(x)=\frac{1}{n}* (a(x+k)^{1/n-1})[/tex]
therefore
[tex]((x+k)^{1/n-1}) > 0[/tex]
As graph is decreasing monotonically
[tex]\frac{a}{n} < 0[/tex]
as n will be always n>0 ,
so a < 0
Now taking value of f(x)= 0 in equation (1)
[tex]f(x)=a(x+k)^{1/n} +c[/tex]
[tex]0 =-a(x_{0} + k)^{1/n} +c[/tex] as (a < 0)
[tex]0=-a(k)^{1/n} +c[/tex]
[tex]-c =-a(k)^{1/n}[/tex] multiplying (-1) both side
[tex]c =a(k)^{1/n}[/tex]
i.e
c > 0
Hence, the value of a in this function is a is less than 0 .
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What is the value of 1500 divided by (6 squared + 43) x 37
Rewrite : [tex]1500 : (6^{2} +43)[/tex] x 37
Simplify : [tex]1500 : 79[/tex] x 37 = 702.531646...
Round to :
- Nearest whole number : 703
- 1 d.p : 702.5
- 2 d.p : 702.53
- 3 d.p : 702.532
The value of the expression when 1500 divided by (6 squared + 43) x 37 using simplification is 702.531647.
A collection of constants, variables connected using one or more arithmetic operator is called an expression.
The way of writing the complex mathematical problems into simpler forms using certain way is called simplification.
Simplification is solved using BODMAS rule.
The expression 1500 divided by (6 squared + 43) x 37 can be written in mathematical form as:
[tex]\dfrac {1500}{((6)^2 + 43)} \times37[/tex]
This can be simplified as,
[tex]\dfrac {1500}{(36 + 43)} \times37[/tex]
[tex]\dfrac {1500}{79} \times37[/tex]
On further solving, it results to 702.531647.
The value of the given expression is 702.531647.
Learn more about expressions here :
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How many lines of symmetry does the letter have?
0
1
2
3
Does anyone know if this is right?
In the diagram below, m//n. Select all of the angles that are congruent to 21
Not sure about Angle. 13
Factorise the following quadratic:
m^2 - 5m + 6
Answer:
(m-3)(m-2)
Step-by-step explanation:
Here,
m^2- 5m + 6
=m^2-(3+2)m +6
=m^2 - 3m - 2m +6
=m(m - 3) - 2 (m - 3)
=(m-3)(m-2)
a soccer ball went on sale from 30 to 24 by what percentage was the price of the soccer ball reduce
Answer:
20%
Step-by-step explanation:
It was reduced by 20%. 24 is 80% of 30.
What is 10÷2/3?
A.) 1/15
B.) 3/20
C.) 20/3
D.) 15
Let's first write out 10 ÷ 2/3:
[tex]\frac{10}{\frac{2}{3} }[/tex]
When we divide by a fraction, we flip the fraction 2/3 into 3/2 so that we can multiply it by 10, so:
[tex]\frac{10}{\frac{2}{3} } =10*\frac{3}{2} =5 * 3=15[/tex]
Thus the answer is 15
Hope that helps!
9/18+1/3 calculator doesn’t have it pls help
Answer:
5/6
Step-by-step explanation:
9/18 + 1/3
Convert 1/3 to match 9/18:
1/3 = 6/18
1 * 6 = 6
------------
3 * 6 = 18
6/18
9/18 + 6/18
15/18
Find the GCF of 15 and 18:
15
1, 3, 5, 15
18
1, 2, 3, 6, 9, 18
Divide:
15 ÷ 3
-------
18 ÷ 3
5/6 <== final answer
Hope this helps!
What is the Pythagorean Theorem used for?
Answer:
Pythagorean Theorem used for finding the missing side length for a triangle the formula is a^2 + b^2 = c^2
a= base
b= height
c= the diagonal side a.k.a. hypotenuse
Answer:
u see the formula for the Pythagorean theorem is a^2 + b^2 = c^2 i hope this helps please mark as brainliest have a good day!!! :D Bye
Step-by-step explanation:
(3.6×10−5)÷(9×10−7) in Standard Form
Answer: 31/83 (decimal form 0.373494)
Step-by-step explanation:
3. Two ocean beaches are being rected by crosionThe table shows the winteet of each beach measured at high tide where 1905 is represented by year
Year number
Western Beach width (info
Dunes Beach width (in feet)
100
20
25
5
90
70
10
80
13
75
12
76
30
15
70
95
A Describe the patterns shown by the crosion data measurements shown for each of the beaches in the table
B. Between which years will the beaches have approximately the same width?
C. Assuming these rates remain constant what can you do to get a becer approximation of when the two beaches will have the same wich?
Answer:
Answer given in the image below
I hope my answers helps you.
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
V29x6
Answer:
x 3 -2x
Step-by-step explanation:
Jorden has $275 in his bank account. The bank will pay Jorden 4% interest per year on the value of his account. If Jorden doesn’t add to his account or withdraw any money, how much will he have in his account after one year?
Answer: $11.00
Step-by-step explanation: Please see attached PDF.
Students in Mrs. Anderson’s health class are learning about how exercise affects your heart rate. Twelve students ran around the school track for different lengths of time. Then they measured their heart rates in beats per minute. Heart Rate Record Minutes Heart Rate (bpm) 7 121 8 136 7 122 4 96 3 90 6 120 7 118 4 98 2 84 5 110 7 118 8 128 Find the correlation coefficient of the data. Round to the nearest hundredth
Answer:
While resting, his heart rate is at 60 bpm. After sprinting, his heart rate is at 130bmp. The difference is 130 - 60 = 70
Step-by-step explanation:
i hope this helps
The correlation coefficient of the given data about time and heart rates is 0.98.
What is correlation coefficient?A correlation coefficient is a statistical measure of the degree to which changes to the value of one variable expect change to the value of another.
How to calculate correlation coefficient?We have been given time and heart rates of students in Mrs. Anderson's health class and we have to find the value of correlation coefficient.
The formula by Karl Pearson to calculate correlation coefficient is as under:
Correlation coefficient=
=∑(x-x bar)(y-y bar)/[tex]\sqrt{sum(x-x bar)^{2} } \sqrt{sum(y-y bar)^{2} }[/tex]
We have to calculate figures required to fill in the formula which are:
∑(x-x bar)(y-y bar)=350
∑[tex](x-x bar)^{2}[/tex]=44.67
∑[tex](y-y bar)^{2}[/tex]=2872.25
Correlation coefficient=350/[tex]\sqrt{44.67} \sqrt{2872.25}[/tex]
=350/6.68*53.59
=350/357.98
=0.977
After rounding off to nearest hundred it will be 0.98.
Hence the correlation coefficient of the data about time and heart rate is 0.98.
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Divide.
0.4) 29
Enter your answer as a decimal in the box.
Answer:
0.0138
Step-by-step explanation:
the division gives a value which is almost recurring hence we round off to get 0.0138
Answer:
72.5 (I did the math)
