Answer:
[tex]T_n = 2n - 1 + T_{n-1}[/tex]
Step-by-step explanation:
Given
[tex]Sequence: -5,-2,3,10,19[/tex]
Required
Find the nth term
We have:
[tex]T_1 = -5[/tex]
[tex]T_2 = -2 = 3 - 5 = 3 + T_1[/tex]
[tex]T_3 = 3 = 5 - 2 = 5 + T_2[/tex]
[tex]T_4 = 10 = 7 + 3 = 7 +T_3[/tex]
[tex]T_5 = 19 = 9 + 10 = 9 + T_4[/tex]
This gives:
[tex]T_2 = 3 + T_1 = 4 - 1 + T_1[/tex]
[tex]T_3 = 5 + T_2 = 6 - 1 + T_2[/tex]
[tex]T_4 = 7 +T_3 = 8 - 1 + T_3[/tex]
[tex]T_5 = 9 + T_4 = 10 - 1 + T_4[/tex]
---
Solving further, we have:
[tex]T_2 = 4 - 1 + T_1 = 2 * 2 - 1 + T_1[/tex]
[tex]T_3 = 6 - 1 + T_2 = 2 * 3 + T_2[/tex]
[tex]T_4 = 8 - 1 + T_3 = 2 * 4 - 1 + T_3[/tex]
[tex]T_5 = 10 - 1 + T_4 = 2 * 5 - 1 + T_4[/tex]
Following the above sequence: the nth term is:
[tex]T_n = 2n - 1 + T_{n-1}[/tex]
Nerissa has 5 pink bows 1 blue bow and 4 purple bows in a box. She will randomly choose 1 bow from the box. What is the probability Nerissa will choose a purple bow
A. 1/2
B. 2/5
C. 1/10
D. 3/5
I’ll mark brainliest
Answer: The probability is 2/5.
Step-by-step explanation: If there are 5 pink bows, 1 blue bow, and 4 purple bows, there are a total of 10 bows in the box. The probability of choosing a purple one is 4/10 (since there are 4 purple bows). 4/10 simplifies to 2/5.
The probability Nerissa will choose a purple bow is [tex]\frac{2}{5}[/tex].
Here Nerissa has 5 pink bows, 1 blue bow and 4 purple bows in a box.
She will randomly choose 1 box from the box.
What is Probability?
The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
Now,
Total number of bows = 5 + 1 + 4 =10
Number of purple bow = 4
Probability to choose purple bow = [tex]\frac{Total number of purple bow}{Total number of bow }[/tex]
= [tex]\frac{4}{10}[/tex]
=[tex]\frac{2}{5}[/tex]
So, probability to choose purple bow is 2/5.
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This box is inch long, 1 inch wide, and inch deep. What is the volume of the box?
Ź Inch
inch
Inch
33 inch
g inch
3
16
inch
12 inches
2[tex]2x^{2} -3x[/tex]
Evaluate the expression when b=2 .
b⋅5 =
Answer:
Step-by-step explanation:
given, b=2
now,
=b.5
=2.5
=10
For each of the following propositions, identify simple propositions, express the compound proposition in symbolic form, and determine whether it is true or false: The world is flat or zero is an even integer. If 432,802 is a multiple of 4, then 432,802 is even. 5 is a prime number and 6 is not divisible by 4. 3 ∈ Z and 3 ∈ Q . 2 / 3 ∈ Z and 2 / 3 ∈ Q . The sum of two even integers is even and the sum of two odd integers is odd.
Answer:
a) True
b) True
c) True
d) True
e) False
f) False
Step-by-step explanation:
a) The world is flat or Zero is an even Integer
simple proposition : it is a compound interestexpressing compound proposition in symbolic form : p v q ; where p = world is flat and q = Zero is an integerIt is a true statementB ) If 432,802 is a multiple of 4, then 432,802 is even
simple proposition : It is a compound statement expressing compound proposition in symbolic form : p ⇒ q ; where p = 432,802 is a multiple of 4 and q = 432,802 is evenp q p ⇒ q hence statement is trueF T T
C) 5 is a prime number and 6 is not divisible by 4
simple proposition : it is a compound statementsymbolic form ; p ∧ qwhere p = 5 is a prime number and q = 6 is not divisible by 4
statement is trueD) 3 ∈ Z and 3 ∈ Q
simple proposition : it is a compound statementsymbolic form : p ∧ qwhere p = 3 ∈ Z and q = 3 ∈ Q
statement is trueE) 2 / 3 ∈ Z and 2 / 3 ∈ Q
simple proposition : It is a compound statementsymbolic form : p ∧ qwhere p = 2 / 3 ∈ Z ( false ) and q = 2 / 3 ∈ Q ( true ) hence p ∧ q = false
statement is falseF) The sum of two even integers is even and the sum of two odd integers is odd.
simple proposition : It is a compound statementsymbolic form : p ∧ qwhere p = The sum of two even integers is even and q = the sum of two odd integers is odd.
statement is falseSsssssssssssssssssssssssssssssssssssssssssssssssss
It takes half of a yard of ribbon to make a bow. How many bows can be made with 7 yards of ribbon?
Answer:
hey there is a snowman challenge for virtual
Step-by-step explanation:
join challenge at #snowmanchallenge
HELP HELP HELP HELP PLEASE PLEASE !!!!!
Answer:
Correct answer would be 84/12=7
Step-by-step explanation:
Reason being , Its asking the "product" Of Julies score (7)
If you divide 84 /7 it will be =12
since its already giving you what its equal you would flip it and it would be 84/12
pls help :)
Given the function y = x + 3, what is the value of y if x is 7?
Answer:
10
Step-by-step explanation:
y=x+3; x=7
Substitute x in with 7
y=7+3Add 7 and 3
y=10A survey crew has laid out similar triangles to find the distance across a
small lake.
creen
1-02....
240 ft
30 ft
creen SI
1-02...5.1
40 ft
30 ft
240 ft
creen Sho
-02...55.1
What is x, the distance across the lake?
Answer:
45.5
Step-by-step explanation:
You do the linear length multiplied by the longitudinal length
The distance across the lake is 320 ft.
Given is a scenario of a lake, a survey crew has laid out the concept of similar triangles to find the distance across the lake.
The figure shows the base of the larger triangles is the distance across the lake. [please refer to the figure attached]
The dimensions of the imaginary triangles are 30 ft, 30 ft, 40 ft and 240 ft, 240 ft, x ft.
Here, x is the distance across the lake which we are asked to find.
Using the definition of the similar triangles,
Two triangles are considered similar if their corresponding angles are equal, and the ratios of the lengths of their corresponding sides are equal.
So,
[tex]\frac{240}{30} = \frac{x}{40}[/tex]
[tex]x = \frac{240 \times 40}{30}[/tex]
x = 320
Hence the distance across the lake is 320 ft.
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What language your figure the thunder rose
Answer: ok buddy
Step-by-step explanation:
Answer:
?
Step-by-step explanation:
what is the value of x in the equation -2/9x=2/5
Answer:
x = (-9)/5
Step-by-step explanation:
Solve for x:
(-2 x)/9 = 2/5
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (-2 x)/9 = 2/5 by -9/2:
(-9 (-2) x)/(2×9) = (-9)/2×2/5
Hint: | Express (-9)/2×(-2)/9 as a single fraction.
(-9)/2×(-2)/9 = (-9 (-2))/(2×9):
(-9 (-2))/(2×9) x = (-9)/2×2/5
Hint: | Express (-9)/2×2/5 as a single fraction.
(-9)/2×2/5 = (-9×2)/(2×5):
(-9 (-2) x)/(2×9) = (-9×2)/(2×5)
Hint: | In (-9 (-2) x)/(2×9), divide -9 in the numerator by 9 in the denominator.
(-9)/9 = (9 (-1))/9 = -1:
(-2-1 x)/2 = (-9×2)/(2×5)
Hint: | In (-(-2) x)/2, divide -2 in the numerator by 2 in the denominator.
(-2)/2 = (2 (-1))/2 = -1:
--1 x = (-9×2)/(2×5)
Hint: | Multiply all instances of -1 in -(-x).
(-1)^2 = 1:
x = (-9×2)/(2×5)
Hint: | Cancel common terms in the numerator and denominator of (-9×2)/(2×5).
(-9×2)/(2×5) = 2/2×(-9)/5 = (-9)/5:
Answer: x = (-9)/5
Answer:
[tex] \frac{ - 2}{9} x = \frac{2}{5} \\ x = \frac{2}{5} \times \frac{9}{(- 2)} \\ \boxed{x = \frac{(-9)}{5}}✓[/tex]
x=-9/5 is the right answer.The bars in this graph represent the favorite sport listed
by teenagers in a random sample.
Is this graph misleading?
Favorite Sports
O Yes, because the scale does not start at 0
Yes, because the bars are not the same height
O No, because the bars are all the same width
O No, because the scale starts at 0
20
18
16
Frequency
14
12
10
Basketball Football Lacrosse Soccer Volleyball
Favorite Sport
Answer:
A.) yes because the scale does not start at 0
Step-by-step explanation:
edge
Answer:
A
Step-by-step explanation:
D What is the solution for the equation? 5 3 2-4+1 1
Answer:
539
Step-by-step explanation:
532 - 4+11= 539
Find the circumference of the given circle. Use 3.14 as an approximation of T.
(7in.)
A. 31.4in
B. 43.96in
C. 27in
D. 25in
Answer21.98
Step-by-step explanation:
Which is bigger 1/4 or 0.21
Answer:
1/4
Step-by-step explanation:
1/4=0.25
The next number in the arithmetic sequence 10, 23, 36, __is:
49.
46.
43.
50.
Answer:
49
Step-by-step explanation:
Answer:
49
Step-by-step explanation:
From the sequence it is obvious that the next number was simply the addition of 13, so by adding 13 to 36 we get 49
9X - 5X + 18 = 2X +34
Answer:
x=8
Step-by-step explanation:
p - 13 = 29
Can anyone help me with this
Answer:
42
Step-by-step explanation:
p - 13 = 29
Add 13 to both sides.
p - 13 + 13 = 29 + 13
p = 42
Answer:
p= 42
Step-by-step explanation:
29 plus 13 equals 42 which leaves p alone so p equals 42
Shawn bought fruit last week, consisting of 2.26 pounds of bananas, 1.5 pounds of grapes,and a watermelon that weighed 6.78 pounds.
What is the total weight, in pounds, of the fruit that Shawn bought last week?
Answer:
not sure but i think it should be 10.54
4x4=(blank)+(blank)=blank
Answer:
i think it would be 4x4=8+8=16
pls awnser asap plplplplplplplplplplplplp
Answer:
14/6
Step-by-step explanation:
On an airplane flight, Steve watch the display that showed the number of minutes since the flight to cough and the number of miles away from the destination. He recorded various points and fit the line why equals 2426-8x To the data, Where x is The number of minutes flying and why is the number Have miles from the Have miles from the destination. According to the model, how far was Steve from his destination after 120 minutes of flying?destination A. 960 miles B. 2410 mikes C. 1466 !miles D. 3386 miles
Answer:
3386 miles was her destination......
Select the expression equivalent to -81 x + 27.
A -9(9 x - 3)
B -9(-9 x - 3)
C 3+ (-27 x +9)
D -3(-27 x +9)
Answer:
B -9(9x-3)
Step-by-step explanation:
b/c -9(9x-3) means -9×9x-(-3)
= -81x+27
if you say why -(-3) is +27, I will say b/c negative times negetive it give us positive. and if you they why we don't add -81x and 27, I will say b/c they are not like terms.
like terms : are terms with the same variable and same exponent.
example:2x and 3x,5xy and 9yx and etc....
if it helpful ❤❤
THANK YOU
Someone help me on question 10 please!
Answer:
Step-by-step explanation:
500÷9=55.56miles/h (correct to 3 decimal places)
I need help quick plz
Step-by-step explanation:
3rd one is the answer
-2x+1
Answer:
f(x) = 2x + 1
Step-by-step explanation:
You can plug in the value to each one and see if the function is true. The only one in which the function is true is f(x) = 2x + 1, so the answer is 2x + 1.
Pls someone help me!
Answer:
Step-by-step explanation:
An art teacher has 16 pieces of blue chalk, 14 pieces of red chalk, and 10 pieces of yellow chalk. She
randomly gives a piece of chalk to each student in her class. What is the probability that the first
student will receive a piece of blue chalk? PLEASE ANSWER QUICKLY THANK YOU
Answer:
there is a 40% or a 16/40 chance the the student will receive blue chalk
Step-by-step explanation:
There are 16 ounces in one pound. If 3.4 pounds of beef cost $4.95, what is the cost per ounce, to the nearest cent?
$0.09
$0.31
$1.05
$1.46
$10.99
Can someone help me Write an equation for this graph?