Answer:
The [tex]n^{th}[/tex] sequence aₙ = -15 +5n
The fifth term of the sequence
a₅ = 10
Step-by-step explanation:
Step(i):-
Given sequence
-10,-5,0,5,10,15,20,.....
The first term = -10
The difference of two terms in the given sequence is equal
d = -5-(-10) = -5 + 10 = 5
d = 0 -(-5) = 5
The given sequence is in arithmetic progression
Step(ii):-
The [tex]n^{th}[/tex] sequence
[tex]a_{n} = a+(n-1) d[/tex]
aₙ = -10 +(n-1) 5
aₙ = -10 + 5n -5
aₙ = -15 +5n
Step(iii):-
The [tex]n^{th}[/tex] sequence aₙ = -15 +5n
put n = 5
a₅ = -15 + 5(5) = -15 +25 = 10
Final answer:-
The [tex]n^{th}[/tex] sequence aₙ = -15 +5n
The fifth term of the sequence
a₅ = 10
Answer:
The sequence starts with -10, and the index starts at 1. So, the index of -10 is 1.
n = 5 refers to the fifth term of the sequence, which is 10.
Step-by-step explanation:
Plato Answer
What is the value of x?
Answer:
4
simplied=2
Step-by-step explanation:
10²=8²+x²
10²=8²-x²
20=16-x²
x²=4
Simplied=2
Donovan is playing a word game with letter tiles. Players earn 10 points for every word they make with the tiles., plus 5 extra points if a word has 6 or more letters. At the end of the game, 3 points are taken away for each tile not used. Write an expression to represent Donovan's total score if one of his words contains 6 letters.
Answer:
10w-3t+5
Step-by-step explanation:
The expression represents Donovan's total score if one of his words contains 6 letters is 10w-3t+5.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
Let's say the number of words written is w and the number of tiles is t.
As per the given,
Players earn 10 points so 10w will be points through words.
3 points taken away thus -3t.
One word contains 6 letters thus +5 points.
Total score = 10w - 3t + 5.
Hence "The expression represents Donovan's total score if one of his words contains 6 letters is 10w-3t+5".
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a new car is purchased for 15500 dollars. the value of the car depreciates at 7.5% per year. what will the value of the car be, to the nearest tenth, after 6 years.
Answer:
$9,709.17
Step-by-step explanation:
y=5, 12+4y= what is the answer
Answer:
x2
Step-by-step explanation:
x2 82
Answer: 32
Step-by-step explanation: since y=5, 4y= 20. 12+20=32
Can someone help pls ASAP running out of time
Answer: The correct answer is A
Step-by-step explanation:
If your multiplying fractions you take the first fraction 1/4 and the number 5, but you turn that into a fraction so now it's 5/1, and you multiply them together to get 5/4
1/4 x 5/1 = 5/4
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TI 14v Save for Later I'm Done 4th Grade - Week 2 4.0A.A.1: 4.0A.A.2, 4.0AA3; 4. NBI Monday 1. Michael has 6 apples and 18 oranges. How many times more oranges than apples does Michael have?
Answer:
Michael has 3 times more oranges than apples.
Step-by-step explanation:
Given that:
Number of apples = 06
Number of oranges = 18
Let,
x be the number of times.
Number of oranges = Number of times * Number of apples
18 = x * 6
18 = 6x
6x = 18
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{18}{6}\\x=3[/tex]
Hence,
Michael has 3 times more oranges than apples.
f(n) = (2n – 2) + 2; 52 ( PLEASE ANSWER QUCIKLY WILL GIVE BRAINLIEST AND THANKS PLEASEEEEE!!!!!!) FIND THE POSITION FOR THE GIVEN TERM
Answer:
[tex]n =26[/tex]
Step-by-step explanation:
Given
[tex]f(n) = (2n - 2) + 2[/tex]
Required
Find n when [tex]f(n) = 52[/tex]
Substitute 52 for f(n) in [tex]f(n) = (2n - 2) + 2[/tex]
[tex]52 = (2n - 2) + 2[/tex]
Remove bracket
[tex]52 = 2n - 2 + 2[/tex]
[tex]52 = 2n[/tex]
Make n the subject
[tex]n = \frac{52}{2}[/tex]
[tex]n =26[/tex]
The position is 26
Which word phrase represents the numerical expression? (7 - 3) ÷ 2 *
The sum of seven and three, divided by two.
The sum of seven and three, multiplied by two.
The difference of seven and three, divided by two.
The difference of seven and three, multiplied by two.
Answer:
The difference of seven and three divided by two
Step-by-step explanation:
You do the operations in the parentheses first, according to PEMDAS.
Diego drank x ounces of juice. Lin drank 1/8 less than that.
Answer:
Step-by-step explanation:
Due to the increase in global travel and the prevalence of invasive species, the Anopheles mosquito carrying the malaria parasite was inadvertently introduced to this isolated Pacific island. A researcher, 100 years from the present day, decides to complete a follow-up study and monitors another 50 couples who are all heterozygous for type A blood and have sickle cell trait. These couples had 136 children. Based on the introduction of the Anopheles mosquito carrying the malaria parasite, predict scientifically logical observed numbers of children for each genotype possibility and complete a chi-square statistical analysis test.
i. What is your predicted chi-square value(x^2)?__________
ii. Calculate df. _______
iii. Using the critical values table, determine the predicted P value.
Answer:
i. Predicted chi-square value(x^2)?______ 22.35
ii. df_______ 6-1= 5
iii. Using the critical values table, determine the predicted P value
The P-Value is .050985 for 5 df and 0.05 significance level. The result is not significant at p < .01.
The P-Value is .010362 for 5 df and 0.01 significance level. The result is not significant at p < .01.
Step-by-step explanation:
Phenotype Predicted ( o) Expected (e) (o-e) (o-e)²/e
(observed)
A- normal 19 3/4 * (1/4)= 3/16 25.5 -6.5 1.66
O normal 5 1/4 * (1/4)= 1/16 8.5 -3.5 1.44
A trait 70 3/4 * (1/2)= 3/8 51 19 7.07
O trait 25 1/4 * (1/2)= 1/8 17 8 3.67
A Disease 13 3/4 * (1/4)= 3/16 25.5 -12.5 6.13
O Disease 4 1/4 * (1/4)= 1/16 8.5 -4.5 2.38
136 136 22.35
i. What is your predicted chi-square value(x^2)?______ 22.35
ii. Calculate df_______ 6-1= 5
iii. Using the critical values table, determine the predicted P value
The critical region for alpha =0.05 is χ² ≥ χ² (0.05,5) = 11.02
The P-Value is .050985. The result is not significant at p < .01.
The critical region for alpha =0.01 is χ² ≥ χ² (0.01,5) = 15.00
The P-Value is .010362. The result is not significant at p < .01.
The calculated value of chi square is 22.35 which is greater than 15.00 and 11.02 , the critical regions at alpha 0.05 and 0.01
Therefore it falls in the critical region and the result is insignificant.
St
Question 1
Calculate the derivative of y = f(x) = 3 x(4x + 7)
Your answer:
Answer:
[tex]\frac{dy}{dx} = 24 x + 21[/tex]
Step-by-step explanation:
Explanation:-
Given that the function
y = f(x) = 3 x ( 4 x + 7)
y = 3 x ( 4 x + 7)
y = 12 x² + 21 x ..(i)
Differentiating equation (i) with respective to 'x' , we get
[tex]\frac{dy}{dx} = 12 (2x) +21 (1)[/tex]
[tex]\frac{dy}{dx} = 24 x + 21[/tex]
Skylar invested $8,900 in an account paying an interest rate of 2.6% compounded
continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest dollar, would be in the account after 11 years?
Answer:
11847
Step-by-step explanation:
8900e ^0.026(11)
8900e^0.286
11846.7228518
answer 11847
Answer: 11749
Step-by-step explanation:
A=Pe
rt
=
5500
=
0.069
=
11
P=5500r=0.069t=11
Given values
=
5500
0.069
(
11
)
A=5500e
0.069(11)
Plug in
=
5500
0.759
A=5500e
0.759
Multiply
=
11748.7645718
A=11748.7645718
Use calculator (with e button)
≈
11749
A≈11749
Round to nearest dollar
how much water must be added to a 6-liter solution that contains 7% extract of baneberry to get a solution that contains 5% extract of baneberry
Answer:
the water to be added is 0.2 L
Step-by-step explanation:
The computation of the water to be added is given below:
The banberry amount is
= 7% of 6 Liters
= 0. 42L
Now
Let us assume the amount of water added be x L
So, the total solution is
= 6+ x L
Now percentage of banberry is
= 0.42 × 100 ÷ (6+x)
5 = 0.42 × 100 ÷ (9 + x)
9 + x = 9.2
x = 0.2 L
hence, the water to be added is 0.2 L
Tamu ran 30 minutes and burned 170 calories. How many calories did Tamu burn per minute. Write your answer as a decimal.
Answer:
170/30= 5.6
Step-by-step explanation:
There should also be a line like - over the 6
Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.
Answer:
x=3
y=0
i hope this helps:)
Step-by-step explanation:
geometry question stated above
Answer:
E. HL
Step-by-step explanation:
In the diagram given, it is indicated that both right triangles have an Hypotenuse and one corresponding leg that are congruent to each other.
Therefore, based on the Hyotenuse-Leg (HL) Congruence Theorem, both triangles are congruent.
Compute 292, 000 divide 100.
A and B are complementary angles. If m A = (4x + 24) and m
ZB = (3x – 4)º, then find the measure of B.
Answer: 26
Step-by-step explanation: Complementary angles are angles that add up to 90 degrees. So we use m<a+m<b=90 so let plug in
(4x+24)+ (3x-4)=90, then combine like with like.
7x+20=90
7x=70
x=10
Then let plug it in for angle B
(3(10)-4= 26
Answer:
x = 10°
∠B = 26°
Step-by-step explanation:
complementary means they add up to 90 degrees.
4x + 24 + 3x - 4 = 90°
combine like terms:
7x + 20 = 90°
7x = 70°
x = 10°
Brayden can type 270 words in 3
minutes. How many words per
minute can Brayden type?
Answer: 90 words per minute
====================================================
Work Shown:
270 words : 3 minutes
270/3 words : 3/3 minutes ..... divide both parts by 3
90 words : 1 minute
Brayden can type 90 words per minute (wpm).
Find the diameter and circumference of the circle below : r=8cm.
Answer:
Diameter= 16 cm circumference is 50.24
Step-by-step explanation:
The diameter and the circumference of the circle should be 16 cm and 50.24 respectively.
Calculation of the diameter and the circumference of the circle:Since the radius is 8 cm
So here the diameter be
= 2(radius)
= 2 (8)
= 16 cm
Now the circumference of the circle is
[tex]= 2\pi r\\\\= 2 \times 3.14 \times 8[/tex]
= 50.24
hence, The diameter and the circumference of the circle should be 16 cm and 50.24 respectively.
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There were five winning lottery tickets for a total jackpot of 40,000. 3 of the winners won twice as much as the other two. how much did each of the two that won the least get?
There are five prizes available on the 1000 lottery tickets that were sold, assuming Saket purchased one. Only 0.005% of participants will win something.
What does the term probability mean?Probability measures how likely an event is to occur. It's difficult to know everything that will happen in advance. We can only forecast how likely an event is to occur using it, or how likely it is to occur.The likelihood of an event occurring is determined by probability: P(A) = f / N. Probability and odds are related, but probability is necessary for odds to exist. Probability is required before calculating the likelihood of an event. Classical, empirical, subjective, and axiomatic viewpoints are the four most popular approaches to probability.Here is an easy use of probability in daily life that you probably already utilize. Before we organize a significant outing, we always consult the weather prediction. The forecaster will occasionally say that there is a 60% chance of rain.Given,
Total number of outcomes =1000
Favorable outcomes =5
Simplify, 5 ÷ 1000
Then we get,
∴ Required probability = 0.005.
The complete question is:
1000 tickets of a lottery were sold and there are 5 prizes on these tickets, if Saket has purchased one lottery ticket. What is the probability of wining a prize ?
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Korl spent $46.20 on 12 gallons. what was the price per gallon?
Answer:
3.85
Step-by-step explanation:
46.20/12
12 goes into 46.20
3.85
4(x+4) + 2x = 52 need answer
Answer:
x=6
Step-by-step explanation:
Lily used a coordinate plane to graph the path she walked from her house to the library. She started at her house at point A(–6, –3), walked to a store at point B(5, –3), and then walked to the library at point C(5, 7). If each unit on a coordinate grid equals one block, how many blocks did Lily walk from point A to point B to point C? Enter the number in the box.
Answer:
21
Step-by-step explanation:
The units Lily walked are 21 units.
What is distance?Distance is defined to be the magnitude or size of displacement between two positions.
Given that, Lily used a coordinate plane to graph the path she walked from her house to the library. She started at her house at point A(–6, –3), walked to a store at point B(5, –3), and then walked to the library at point C(5, 7).
We know that, the distance between the two points is given by =
D = [tex]\sqrt{(x_{2}-x_{1} )^2 +(y_{2} -y_{1})^2 }[/tex]
The given points are A (–6, –3), B (5, –3) and C (5, 7).
The distance between her house and the store (AB) =
[tex]\sqrt{(5+6)^2 +(-3+3)^2} \\= \sqrt{121} \\= 11[/tex]
Therefore, The distance between her house and the store (AB) = 11 units
Similarly,
The distance between the store and the library (BC) =
[tex]\sqrt{(5-5)^2+(7+3)^2} \\= \sqrt{100} \\= 10[/tex]
Therefore, The distance between the store and the library (BC) = 10 units
Therefore, the total distance = 10+11 = 21 units
Hence, She walked a total 21 units from point A to C.
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HELP MIDDLE SCHOOL QUESTION
answer:
26.563 miles.
step-by-step explanation:
5.123 + 6.34 + 7.1 + 8 = 26.563
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What is 20% of 80 I need help
Answer:
16
Step-by-step explanation:
20% = 0.2
80 x 0.2 = 16
Please mark me Brainliest :)
Answer:
16 is 20 percent out of 80
Step-by-step explanation:
What’s 57.036 in word form
The area A of a circle in square feet with a radius r in feet is given by the formula, A=πr2. What is the area of a circle with a radius of 3 feet? Round your answer to the nearest thousandths.
Answer:
28.29
Step-by-step explanation:
A=πr2
=3.14(3^2) (btw the ^2 is exponent)
=3.14(9)
=28.29
Write an algebraic expression for the word expression. the quotient of 10 times m and 7
Answer:
10m/7
Step-by-step explanation:
quotient means division so 10 times m is 10m
and then we will divide 10m and 7
10m/7
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Complex Numbers I need help
Answer:
Answer is (4+3i)+(5-6i)=(9-3i)
Step-by-step explanation:
I hope it's helpful!
==============================================
Work Shown:
(4+3i) + (5-6i)
4+3i + 5-6i
(4+5) + (3i-6i)
9 + (3-6)i
9 + (-3)i
9 - 3i
As the steps above show, we treat the 'i' as a variable. So we could think of the expression as (4+3x)+(5-6x) and simplify to get 9-3x. Though we use ''i' instead of x.