Answer:
∠5=∠7=∠6=∠8=143°
∠4=∠2=∠1=37°
Step-by-step explanation:
∠4=180-∠6=180-143=37°
Write down in terms of n,an expression for the Nth term of the following sequences.
A) 2,5,8,11,14
B) 9,11,13,15,17
Answer:
see explanation
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
A
There is a common difference d between consecutive terms , that is
d = 5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3
Thus the sequence is arithmetic with a₁ = 2 and d = 3, then
[tex]a_{n}[/tex] = 2 + 3(n - 1) = 2 + 3n - 3 = 3n - 1
[tex]a_{n}[/tex] = 3n - 1
B
There is a common difference d between consecutive terms , that is
d = 11 - 9 = 13 - 11 = 15 - 13 = 17 - 15 = 2
Thus the sequence is arithmetic with a₁ = 9 and d = 2 , then
[tex]a_{n}[/tex] = 9 + 2(n - 1) = 9 + 2n - 2 = 2n + 7
[tex]a_{n}[/tex] = 2n + 7
Answer:
so for question a the ans is 3n-1
for question b the ans is 2n+7
Step-by-step explanation:
Question Ausing the formula for arithmetic progressikn(a.p) a +(n-1)d, u use this formula because it has a common differnce
a=2, where a is first term or t1
d=t2-t1=5-2=3m where d is common difference
replace the values in the formula
2+(n-1)3
2+3n-3
3n-3+2
3n-1, this is the formula for the nth term
it will be 3n -1
if u try it
3(1)-1=2
3(2)-1=5
3(3)-1=8
3(4)-1=11
3(5)-1=14
Question B
using the formula for a.p, a+(n-1)d
a=9, because it is the first term
d=t2-t1=11-9=2
replace the values in the formula
9+(n-1)2
9+2n-2
2n+9-2
2n +7,this is the formula for the7th term
if u try it
2(1)+7=9
2(2)+7=11
2(3)+7=13
2(4)+7=15
2(5)+7=17
The baker is able to make a perfect pastry 97 of the time If he bakes 300 pies what is the probability that at least one doesn't turn out?
Answer:
there is a a 3% chance one doesnt turn out
Step-by-step explanation:
There is a one percent chance because 3(97/100)= 291/300 simplified we get back to 97/100 which is equal to 97%, 100-97=3 giving us 3%.
The scatterplot below shows the number of hours that some high school students spend on working and on video games.
A graph title Working and Video games has weekly working hours on the x-axis and weekly hours of video games on the y-axis. Points are grouped together and decrease.
Which statement about the scatterplot is true?
In general, the number of hours spent working does not affect the number of hours spent on video games.
In general, the amount of weekly time spent working is equal to the amount of weekly time spent on video games.
As the amount of time spent working increases, the amount of time spent on video games increases.
As the number of hours spent working increases, the amount of time spent on video games decreases.
Answer:
D
Step-by-step explanation:
I got it right on edg 2020
Answer:
d
Step-by-step explanation:
i need help with this question ASAPP
Answer:
{1, 2, 4, 6, 7}
Step-by-step explanation:
The domain of a function is the set of values of x.
Answer: {1, 2, 4, 6, 7}
i need help i dont get this problem
Answer: C
Step-by-step explanation: You divide and then swoosh back in the decimal and round
The price of a toy usually costing £20 is increased to £24
Work out the percentage increase.
Answer:
20 increase
Step-by-step explanation:
24-20/20
4/20 = 1/5
1/5 × 100 = 20
Answer
20%?
Explanation
Solve for the value of w.
(w-8)°
(2W-1)º
Answer:
w=57
Step-by-step explanation:
The angles are supplementary because they are adjacent to one another and lies on a straight line
w-8+2w-1=180
Combine like terms
3w-9=180
Subtract 9 on both sides
3w=171
Divide 3 on both sides
w=57
can someone help!!! or explain to me how to do this bc i’m so confused :(
Answer:
I believe the first one is C. I did this in class yesterday but my teacher took my paper sooo...
Step-by-step explanation:
00:00
Carter has $8.49 in change in his money bank. Luke has $12.86.
Use the models provided and mental math to answer the questions.
Part A
What is the total amount of money that the boys have?
?
total -->
$8.49
$12.86
Enter your answer in the box
$
00:00
Part B
How much more money does Luke have than Carter
Answer:
Part A= $21.35 || Part B= $4.37
Step-by-step explanation:
That's how money works.
Answer: The total amount the boys have is $21.35, luke has 4.37 more then Carter.
Step-by-step explanation:
Cargo ship can carry 21,600 tons Cars weigh 3.6 tons each Trucks weigh 7.5 tons each y = number of cars x= number of trucks Your equation was 3.6y + 7.5x = 21 600 Find the number of cars that can be shipped if there are no trucks.
Answer:
6000 cars
Step-by-step explanation:
Each car weighs 3.6 tons and the ship can carry 21,600 so 21,600÷3.6 is 6000
25% of 16 is < > or = to 20% of 25
Answer:
25% of 16 < 20% of 25. my bad if its wrong
Step-by-step explanation:
olivia chooses the whole number she divides it by 4 then adds 8 she then divides this result by 2. her answer is 3.5. what number did she start with
Answer:
-8
Step-by-step explanation:
just do the promble backwards
3.5 times 2 = 6
6-8=-2
-2 times 4 = -8
or solve for x
x/ 4 + 8 /2=3.5
WILL GIVE BRAINLIEST! Six numbers form an arithmetic sequence with a common difference of 4. The sum of these numbers equals to 12. What are the six numbers?
Answer: -8,-4,0,4,8,12
Step-by-step explanation:
The six numbers of the arithmetic progression are -8, -4, 0, 4, 8, 12
Arithmetic sequence:aₙ = a + (n - 1)dwhere
a = first term
d = common difference
n = number of terms
d = 4
first term = a
2nd term = a + 4
3rd term = a + (3 - 1) 4 = a + 8
4th term = a + (4 - 1) 4 = a + 12
5th term = a + (5 - 1) 4 = a + 16
6th term = a + (6 - 1) 4 = a + 20
sum of its 6 terms = 12
Therefore,
a + a + 4 + a + 8 + a + 12 + a + 16 + a + 20 = 12
6a + 60 = 12
6a = 12 - 60
6a = -48
a = -48/6
a = -8
2nd term = -8 + 4 = -4
3rd term = -8 + 8 = 0
4th term = -8 + 12 = 4
5th term = -8 + 16 = 8
6th term = -8 + 20 = 12
learn more on arithmetic sequence here: https://brainly.com/question/21107678
40 pennies and nickels have a total value of $1.40. How many of the coins are pennies?
Answer:
20
Step-by-step explanation:
the answer is 20 i hope this helps
hii pls help i’ll give brainliest if you give a correct answer
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Ur answer .. Check it out ..
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If logb(x) = 4.23, find the value of logb(x^2)
Answer:
Step-by-step explanation:
[tex]log_{b}x=4.23\\log_{b}x^2=2 log_{b}x=2(4.23)=8.46 \\[/tex]
someone pls help me pls
Find the sum for the equation (2m + 2y + 5) and (1m + 7y-10)
Answer: 3m + 9y -5
Step-by-step explanation:
2m + 2y +5 = 1m + 7y -10
-2 ( X + 3 ) =
Show work please or explanations
answer: -2x-6
explanation: use the distributive property
>> -2(x) = -2x
-2(3) = -6
-2+-6 = -2-6
Numerical fluency
1
A selection box contains four types
of sweets: 6 caramels, 7 chocolates,
4 bonbons and 3 nougats
What fraction are carame/s
b. What fraction are not caramels?
Answer:
3/10 are caramel 7/10 are not caramel
Step-by-step explanation:
First you need to work out the total of sweets that is 6+7+4+3=20 sweets. Now it says that there are 6 caramels so you need to put 6/20 which can be simplified to 3/10. For b you have to work out the fraction that is not caramel so for this you have to add up 7+4+3=14 put 14/20 this can be simplified to 7/10.
i hope this helps
Use Order of Operations to simplify. 8 + 7(42–3)
Answer:
281
Step-by-step explanation:
8 + 7(42–3) =
= 8 + 7(39)
= 8 + 273
= 281
y = -x²+4
y = 2x+1
solve the system of equations
The solution of the equation as x= -1 then y= -1 and x= 3 then y = 7.
What is Equation?It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have equations y = -x²+4 and y = 2x+1.
So, 2x + 1 = -x²+4
x² - 4 -2x +1 = 0
x²-2x -3 = 0
Now splitting the mid term we get
x²-2x -3 = 0
x²-3x +x -3 = 0
x(x-3 ) + 1 (x-3)= 0
(x+ 1) (x-3) = 0
x= -1 or 3.
and, when x= -1 then y= -1
when x= 3 then y = 7.
Learn more about Equation here:
https://brainly.com/question/29657992
#SPJ2
2y - 8x - 20
In slope
Answer:
y=4x+10
Step-by-step explanation:
2y-8x-20=0
2y-8x=0+20
2y-8x=20
2y=8x+20
y=4x+10
Hope that will help!!
if angle 1= 135, what is the measure of angle 2, and give your reason. Use the picture i used
Answer:
The measure of m∠2 is:
m∠2 = 45°Step-by-step explanation:
A straight angle is an angle equal to 180 degrees. It is called straight because it appears as a straight line.
Given
The angle ∠ 1 = 135°.
It is clear that angles ∠ 1 and ∠ 2 lie on a straight line.
We know that a straight line is basically a straight angle i.e. 180°.
Thus,
The sum of angles ∠ 1 and ∠ 2 will be 180°.
i.e.
m∠1 + m∠2 = 180°
substitute m∠1 = 135° in the equation
135° + m∠2 = 180°
subtract 135° from both sides
135° + m∠2 - 135° = 180° - 135°
m∠2 = 45°
Therefore, the measure of m∠2 is:
m∠2 = 45°please help brainlist!
Answer:
4/8 - 2/8 = 2/8 = 1/4
Step-by-step explanation:
Answer:
on the first part the answer is 1/4
as for the blanks here it is 4/8 - 2/8 = 2/8
Work out the surface area of this cylinder.
Answer:
Step-by-step explanation:
Total surface = πr² + 2πrh
Surface area = 22/7 × 6 × 6 + 2 × 22/7 + 25
So 22/7 × 12 + 44/7 × 25
Therefore this will give us 37.71 + 157.14
Therefore the total surface area of the cylinder is 194.85 cm².
Hope this helps
11 of 12
? Round to 1 decimal place
73.03
Answer:
73.0
Step-by-step explanation:
just removed the number because 3 is below 5
Divide 3500 in the ratio 2: 2 : 3
Answer:
1000 : 1000 : 1500
Step-by-step explanation:
2 + 2 + 3 = 7
3500 ÷ 7 = 500
2 × 500 = 1000
2 × 500 = 1000
3 × 500 = 1500
1000 : 1000 : 1500
Answer:
1000 : 1000 : 1500
Step-by-step explanation:
you divide 3500 into 7 and find the answer = 500
then 500 x 2 = 1000,
500 x 3 = 1500
Graph three points for y=x+2
Answer:
(0, 2)
(1, 3)
(2, 4)
what is the answer to this question
X+y=10 what does x equal
Answer: it is -1
Explanation: