Answer:
A) The sequence is {-23, -15, -7, 1,...}
The common difference of the sequence above, d = 8
The first term, a = -23
The number of terms, n = 15
The recursive formula is, aₙ = aₙ₋₁ + d
Using the recursive method gives;
a₅ = a₍₅₋₁₎ + d
Where;
a₍₅₋₁₎ = 1
Therefore, a₅ = 1 + 8 = 9, a₆ = 9 + 8 = 17, a₇ = 17 + 8 = 25, a₈ = 25 + 8 = 33, a₉ = 33 + 8 = 41, a₁₀ = 41 + 8 = 49, a₁₁ = 49 + 8 = 57, a₁₂ = 57 + 8 = 65 a₁₃ = 65 + 8 = 73, a₁₄ = 73 + 8 = 81, a₁₅ = 81 + 8 = 89
The 15th term of the sequence, {-23, -15, -7, 1,...}, a₁₅ = 89
We check by using explicit formula to get, aₙ = a + (n - 1)·d
Therefore
a₁₅ = -23 + (15 - 1)×8 = 89
B) The given sequence is B) {5 5.25, 5.50, 5.75,...}
The common difference, d = 0.25
The first term, a = 5
The required number of terms, n = 15
Using the recursive method gives;
a₅ = a₍₅₋₁₎ + d
Where;
a₍₅₋₁₎ = a₄ = 5.75
Therefore, a₅ = 5.75 + 0.25 = 6
a₆ = 6 + 0.25 = 6.25, a₇ = 6.25 + 0.25 = 6.5, a₈ = 6.5 + 0.25 = 6.75, a₉ = 6.75 + 0.25 = 7, a₁₀ = 7 + 0.25 = 7.25, a₁₁ = 7.25 + 0.25 = 7.5, a₁₂ = 7.5 + 0.25 = 7.75, a₁₃ = 7.75 + 0.25 = 8, a₁₄ = 8 + 0.25 = 8.25, a₁₅ = 8.25 + 0.25 = 8.5
The 15th term, of the sequence, {5 5.25, 5.50, 5.75,...}, a₁₅ = 8.5
We check by explicit formula to get, aₙ = a + (n - 1)·d
Therefore
a₁₅ = 5 + (15 - 1)×0.25 = 8.5
Step-by-step explanation:
Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?
x g(x)
2 5
4 7
6 9
f(x) has a greater slope.
g(x) has a greater slope.
The slopes of f(x) and g(x) are the same.
The slope of g(x) is undefined.
PLEASE HELP DESPERATE
tan=sin/cos so tan=3/5/4/5=3/4
Answer:
SOH CAH TOA
3/5 opposite over hypotenuse
4/5 adjasent over hypotenuse
tan= opposite over adjasent which is 3/4
Step-by-step explanation:
Three text messages cost 5 cents to send. how much do 150 cost?
Answer:
30 ,,,,,,,, I hope it's helpful for you
3 text messages = 5 cents
So,
1 text messages
= 5 cents/3
= 5/3 cents
So,
150 text messages
= 150 × (5/3 cents)
= 50 × 5 cents
= 250 cents
Translations _______ side lengths of the figure. A. alter B. all of these C. change D. preserve
Answer:
alter I think I am small but also I know these
Annie has set a goal of running at the track three times each week for a total of at least 16 miles per week. On Monday she ran 7.1 miles, and on Wednesday she ran 5.9 miles. If Annie plans to go running again on Friday, what is the minimum number of miles needed to reach her weekly goal?
There are 36 pencils in 6 packs. Igor wants to know how many pencils are in 1 pack. Elsa wants to know how many pencils are in 3 packs. please help me I did not bring pencil and paper to Herman park
Answer:
18 pencils in 3 packs.
Step-by-step explanation:
Assuming that each pack will have the same amount of pencils. It is given that there are 36 pencils in all when one has 6 packs. Find the amount in each pack by dividing (total amount of pencils)/(amount of packs) = Amount of pencils per pack:
36/6 = 6
There are 6 pencils in each pack.
Now, Elsa wants to know how much pencils are in 3 packs. Multiply the amount of packs with the amount of pencils in each pack:
Total amount of pencils = amount of packs (3) x amount of pencils per pack (6)
= 3 x 6
= 18
There are 18 pencils in 3 packs.
~
Question Progress
-To Progress
Find the equation of the ine shown.
Answer:
could you show the ine?
Step-by-step explanation:
What is the number of outcomes in the sample space tossing a coin and spinning a spinner with 8 equal sections?
Answer:
16
Step-by-step explanation:
Express sin U as a fraction in simplest terms
Answer:
4/5
SOH-CAH-TOA
sin = opposite / hypotenuse
Hypotenuse = sqrt(18^2 + 24^2) = 30
sin 24/30 = 4/5
Step-by-step explanation:
In an indirect proof, you prove an "if-then" statement is true by assuming the statement is false (stating the inverse or converse), and then disproving the false statement. You want to prove the statement shown below in an indirect proof. What statement should you prove is false?
Statement to Prove True: If a figure has exactly three sides, then it is a triangle.
Statement to Prove False:
Answer:
Step-by-step explanation:
WILL GIVE BRAINLIEST !!!
A hiker in Africa discovers a skull that contains 63% of its original amount of C-14. Find the age of the skull to the nearest year.
Answer:
3800 +/-10
Step-by-step explanation:
Jacob went blueberry picking along a 3-mile walking path. He picked blueberries steadily along the walk. When he was finished, he had collected 50 ounces of blueberries.
How many ounces of blueberries did Jacob pick each mile?
Write your answer as a proper fraction or mixed number.
Answer:
16 2/3 ounces per mile
Step-by-step explanation:
50 ounces of blueberries/3 miles = 16.666 repeated
16.666 repeated = 16 2/3 ounces/mile
Evaluate 2y when y = 6y
Use the elimination method to solve the system of equations.
3x + 2y = 16
2x - 2y = 4
Answer:
D (4, 2)
Step-by-step explanation:
adding equation 1 and 2,
5x = 20
x = 4
Hence y = 2
Hence its D
Answer:
b (5,3)
Step-by-step explanation:
Omane is 4 years older than Bremen. If the sum of their age is 60 , find Bremen's age
Answer:
Bremen's age is 28 years
Step-by-step explanation:
Bremen's age= x
Omane's age= x+4
x+x+4=60
2x+4=60
2x=60-4
2x=56
2x = 56
2 2
x=28
help plsss
1/2x^2 =2
If x1 and x2 are the solutions to the equation above,
what is the value of x1 + x2?
A) 0
B) 1
C) 2
D) 4
[tex]\large {\text {$ \sf \cfrac{1}{2x^2} -2 = 0 $}}[/tex]
Now, we will multiply per 2x² both sides of equation...[tex]\large {\text {$ \sf \cfrac{1}{2x^2}\cdot \:2x^2-2\cdot \:2x^2=0\cdot \:2x^2 $}[/tex]
[tex]\searrow[/tex]
[tex]\large {\text {$ \sf 1-4x^2=0$}}[/tex]
We have to write in standard form...[tex]\large {\text {$ \sf -4x^2+1 = 0 $}}[/tex]
[tex]\large {\text{$\sf x=\cfrac{-b\pm\sqrt{b^2-4ac}}{2a} \quad\rightarrow\quad x=\cfrac{-0\pm\sqrt{0^2-4\cdot (-4) \cdot1} }{2\cdot (-4) } \:\rightarrow\:\: x=\cfrac{-0^2 \pm4}{2 \cdot(-4)} $}}[/tex]
[tex]\huge {\text {$ \sf \downarrow$}}[/tex]
[tex]\large {\text {$\sf {\bf x_1} = \cfrac{-0+4}{2\left(-4\right)}= \cfrac{-1}{2} $}}[/tex] [tex]\large {\text {$\sf {\bf x_2 }=\cfrac{-0-4}{2\left(-4\right)} = \cfrac{1}{2} $}}[/tex]
At this point, we're going to add the values of x₁ and x₂:[tex]\large {\boxed {\boxed { \bf x_1 + x_2= -\cfrac{1}{2}+ \cfrac{1}{2} = 0} }}[/tex]
[tex]\huge {\text {$ \it Alternative \: A $}}[/tex]
álgebra 1 solve
0.1 + 0.008 = 0.06 − 0.172
Answer:
x = -4.5
Step-by-step explanation:
Given:
0.1x + 0.008 = 0.06x − 0.172
Collect like terms
0.1x - 0.06x = -0.172 - 0.008
0.04x = - 0.18
x = -0.18/0.04
x = -4.5
Check:
0.1x + 0.008 = 0.06x − 0.172
0.1(-4.5) + 0.008 = 0.06(-4.5) - 0.172
- 0.45 + 0.008 = -0.27 - 0.172
-0.442 = -0.442
Dog breeds 2238 pages in seven hours he reads the same number of pages each hour how many pages did he read in one hour
Answer:
319 pages and a half
Step-by-step explanation:
The length of a rectangle is 3 centimeters more than 3 times the width. If the perimeter of the rectangle is 46 centimeters, find the dimensions of the rectangle.
a
length = 18 cm; width = 5 cm
b
length = 5 cm; width = 18 cm
c
length = 13 cm; width = 5 cm
d
length = 13 cm; width = 8 cm
Answer:
a.
Step-by-step explanation:
Last week Cam's Ice Cream Shop sold 52 chocolate chip ice cream cones out of total of 997 ice cream cones. Based on this data, what is a reasonable estimate of the probability that the next ice cream cone sold is a chocolate chip ice cream cone?
Answer:
52/997
Step-by-step explanation:
YALL THIS IS CORRECT I PROMISE.
KHAN ACADEMY
The required probability of the next ice cream cone sold is a chocolate chip ice cream cone is 0.1.
Cam's Ice Cream Shop sold 52 chocolate chip ice cream cones out of a total of 997 ice cream cones. The probability that the next ice cream cone sold is a chocolate chip ice cream cone is to determine.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Cam's Ice Cream Shop sold 52 chocolate chip ice cream cones = 52
total of 997 ice cream cones = 997
The probability of the next ice cream cone sold being a chocolate chip ice cream cone = 52 / 997
= 0.1
Thus, the required probability of the next ice cream cone sold is a chocolate chip ice cream cone is 0.1.
Learn more about probability here:
brainly.com/question/14290572
#SPJ2
HELP PLEASE !!!!
create diagrams to represent the possible causes for common tangents between two circles. your diagram can be created using multimedia sources or drawn by hand. they should not be copied and pasted from a website. explain why your diagrams satisfy the given criteria.
no common tangents
diagram
justification
Answer:
justification: A tangent is defined as "a straight line that touches a curve or curved surface at a point, but if extended does not cross it at that point." As you can see in the diagram, the line does not extend, which means there are two common tangents. (this is actually a diagram for two common tangents im pretty sure. wouldnt make since otherwise)
Pls help ASAP!!!!!
Find the average rate of change from d=4
to d=11 for the function f(d) = 5(1.02)^d. Describe the process and steps he used and explain what the average rate of change represents.
Answer:
0. 116
Step-by-step explanation:
The function is given as :-
[tex]\boxed{f(d) = 5(1.02)^d }[/tex]
and we have to find the rate of change from d = 4 to d = 11
[tex]\boxed{\blue{\mathfrak{Rate\: of\: change = \frac{final\:output-intital\:output}{final\:input-initial\:input} } }}[/tex]
The final input value is 11 whereas the initial input value is 4.
The final and initial outputs can be calculated by placing the respective values of initial and final inputs (that are 4 and 11).
[tex]{\underline{Initial\:Output}}[/tex]f(4) = [tex]5(1.02)^4[/tex]
f(4) = 5 × 1. 08
f(4) = 5. 41
[tex]{\underline{Final\:Output}}[/tex]f(11) = [tex]5(1.02)^11[/tex]
f(11) = 5 × 1. 24
f(11) = 6. 22
[tex]\underline{Avg\:Rate \: of \: change} = \frac{6. 22-5.41}{11-4} \\ = \frac{0.81}{7} \\ = 0.116 [/tex]
[tex]\bigstar[/tex] Hence, the average rate of change is [tex]\red{\underline{\pmb{0. 116}}}[/tex]
cone is inscribed in a cylinder. A square pyramid is inscribed in a rectangular prism. The cone and the pyramid have the same volume. Part of the volume of the cylinder, 1 V 1 , is not taken up by the cone. Part of the volume of the rectangular prism, 2 V 2 , is not taken up by the square pyramid. What is the relationship of these two volumes, 1 V 1 and 2 V 2 ?
Answer:
The answer is "[tex]v_1 \ and\ v_2[/tex] are equal".
Step-by-step explanation:
Its volume could be defined both by cone as well as the cylinders
[tex]\to \text{(base area)} \times \text{(solid height)} \times (\frac{1}{3})\\\\[/tex]
We are planning to write this as [tex]V = \frac{Bh}{3}[/tex]
When we relate this formula to the cylindrical and prism volume formula, we can see that when we multiply the cone volume by 3, the cylinder size where it is registered comes in. The very same goes for the pyramid as well as the inscription of the rectangular prism. That both pyramid and the cone have the same volume V, hence it would have the same volume of a cell and rectangle prism. [tex]v_1 \ and\ v_2[/tex] are so similar.
help with explanation please
Answer:
MBC=FTTHSGUSJHHUYYVSVHEJSJEVEJDJDHB=**?!1235849
Step-by-step explanation:
M is dead so B is going to collect money. thanks for the update and for some of my friends and for some reason and t and I will get you the information you requested and for your and your and I have a lot going to get you a copy of my CV and I have to be there by and pick it up tomorrow if the update I was just going to text you but the information I need to text me if the is no longer a part y to be y to be y to text or to be there by and pick up tomorrow at noon so we will be able or to be y be able or willing and for the first week of my e to text you and I hope to hear back from the guy I was telling you but you are not a good time to text or to be there by to pick up tomorrow if the update and the update I was just wondering if everything goes well and that the information you have a good ii
Help multiple choice
Answer:
the first one
Step-by-step explanation:
what is this please help
Answer: The answer in the blank is 2/5.
Step-by-step explanation: To divide fractions, flip the second fraction's denominator and nominator and then change the sign to a multiplication sign. Multiply. 4/5 x 3/1 = 12/5. Make 12/5 a mixed number. Since 12 can hold 2 fives, the people who created this question placed a 2 before the blank. 2/5 is remaining, so the blank is 2/5.
Is it possible for an angle in a triangle to be opposite both the longest side of the triangle and the shortest side of the triangle? Explain.
Answer: No, it's not possible.
Explanation: An angle must only be opposite exactly one side.
Can someone help with questions 5 -9
Answer:
THE ANSWER IS UNLIMITED
Step-by-step explanation:
THE REASON IT'S UNLIMITED IS BECAUSE YOU CAN HAVE ALL TYPES OF SHIRTS, FROM JERSEYS TO DRESS SHIRTS, TO T-SHIRTS.
i need help pleeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaseeeeee
Answer:
3 option is correct
Step-by-step explanation:
because all the domains and ranges calculation matches in eqn 3
Solve the equation and enter the value of x below. 7x + 6x= 52
Hello!
7x + 6x = 52 <=>
<=> 13x = 52 <=>
<=> x = 52 : 13 <=>
<=> x = 4 => 7 × 4 + 6 × 4 = 52
Good luck! :)