Answer:
[tex]S_5=\dfrac{170}{9}[/tex]
Step-by-step explanation:
Given that,
The sum of first n term of a sequence is[tex]S_n=20-\dfrac{10}{2n-1}[/tex]
We need to find the sum of the first 5 terms.
Put n = 5,
[tex]S_5=20-\dfrac{10}{2(5)-1}\\\\=20-\dfrac{10}{10-1}\\\\=20-\dfrac{10}{9}\\\\=\dfrac{170}{9}[/tex]
So, the sum of first 5 terms is equal to [tex]\dfrac{170}{9}[/tex].
Write and solve a word problem that can be modeled by addition of two negative integers.
Answer:
Step-by-step explanation:
Question:
Max needs to purchase a car and withdraws $100 from his bank. In a few days he withdraws another $50 to make same repairs. In total what is the change in his bank balance from theese two costs?
Solution:
(-100) + (-50) =
-150
Answered by G a u t h m a t h
what must be subtracted from 61 to get 5
Answer: 56
Step-by-step explanation:
Let x be the number that is supposed to be subtracted from 61.
Given
61 - x = 5
Add both sides by x
61 - x + x = 5 + x
61 = 5 + x
Subtract 5 on both sides
61 - 5 = 5 + x - 5
x = 56
Hope this helps!! :)
Please let me know if you have any questions
17. PLEASE HELP ME
The area of a playground is 160 yd2. The width of the playground is 6 yd longer than its length. Find the length and width of the playground.
A. length = 16 yd, width = 22 yd
B. length = 16 yd, width = 10 yd
C. length = 22 yd, width = 16 yd
D. length = 10 yd, width = 16 yd
Answer:
b
Step-by-step explanation:
16x10=160
Hi! Can someone help me solve this question. Thanks
Does the graph represent a linear expression?
Yes or No
Please answer fast!
Brody works part-time at a veterinarian's office in addition to going to college, and he is paid twice a month. Which type of budget would likely work best for Brody?
The type of budget that would likely work best for Brody is biweeky budget.
Budget is an economic term that refers to the planning and advance formulation of expenses and income. The budget is a tool to organize expenses depending on the amount of money available.
The type of budget that would be best for Brody is a biweekly budget because he receives his payment every fifteen days (twice a month). So, he can schedule his expenses each time he receives his payment, in this way he does not spend all his money before he receives the next payment.
Additionally, weekly, monthly, and dairy are not correct options because they do not fit the time periods in which Brody receives payment for his services.
Learn more in: https://brainly.com/question/141889
Note:
This question is incomplete because options are missing, here are the options.
Daily budget
Biweekly budget
Monthly budget
Weekly budget
If we are given the value of α. How can we find the value of β?
Answer:
β = 140 - α
we know that the "missing" angle is 40° since 40 + 140 = 180
we also know that the total sum of angles in a triangle is 180
so β = 180 - 40 - α
or β = 140 - α
Step-by-step explanation:
what is the side length of the square in cm
Answer:
8.4 cm^2
Step-by-step explanation:
The area of the rectangle is
A = lw
A = 3x *5x = 15x^2
126 = 15x^2
126/ 15 =15x^2/15
42/5 = x^2
We want to find the area of the square
A = l*w
A = x*x
A = x^2 = 42/5 = 8.4 cm^2
What is the probability of an event that is certain?
PLEASE HELPPP!!
Answer:
I think it would be 100%
Step-by-step explanation: because it is certain that means its going to happen
please answer all three.
Answer:
842.04 cm³
Step-by-step explanation:
Cylinder:
diameter = 6 cm
r = 6/2 = 3cm
h = 4 cm
Volume of cylinder = πr²h
= 3.14 * 3 * 3 * 4
= 113.04 cm³
Cube:
side = 9 cm
Volume of cube = side * side *side
= 9*9*9
= 729 cm³
Volume 0f composite figure = volume of cylinder + volume of cube
= 113.04 + 729
= 842.04 cm³
Answer:
1181.16
Step-by-step explanation:
Cylinder + Cube = 1181.16
Compute: 100 to the power of 999 times 5 to the power of negative 999 times 2 to the power of negative 999.
100 = 10² = 2² × 5², so
100⁹⁹⁹ = (2² × 5²)⁹⁹⁹
100⁹⁹⁹ = 2²ˣ⁹⁹⁹ × 5²ˣ⁹⁹⁹
100⁹⁹⁹ = 2¹⁹⁹⁸ × 5¹⁹⁹⁸
Then
100⁹⁹⁹ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹ = 2¹⁹⁹⁸ × 5¹⁹⁹⁸ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹
100⁹⁹⁹ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹ = 2¹⁹⁹⁸⁻⁹⁹⁹ × 5¹⁹⁹⁸⁻⁹⁹⁹
100⁹⁹⁹ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹ = 2⁹⁹⁹ × 5⁹⁹⁹
100⁹⁹⁹ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹ = (2 × 5)⁹⁹⁹
100⁹⁹⁹ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹ = 10⁹⁹⁹
which is a number with 1000 digits,
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
melanie is cutting a 6 1/2 inch piece of yarn from a string that is 15 3/4 inches long how much yarn will be left
Answer:
9 1/4 inches would be left
Step-by-step explanation:
solue for &
X(3 + X) = 3x + x²
3x+x^2=3x+x^2
3x-3x=x^2-x^2
which means x=0
Is (7,0) a solution to the equation y = x - 2?
Answer:
no
Step-by-step explanation:
because 7-7=0 and it doesn't subtract by 2
it is not equal to y=x-2
Answer:
no
Step-by-step explanation:
y = x-2
Let x = 7 and y=0
0 = 7-2
0 =5
This is not a true statement so (7,0) is not a solution
Which graph maps f(x) to g(x) using g(x) = -f(x) + 2? Explain the Reasoning
Answer:
Step-by-step explanation:
Find the coordinates of the image of G(−3,9) after the translation (x,y)→(x+10,y−7) .
(13, 2)
(13, 16)
(7, 16)
(7, 2)
Answer:
D. (7,2)
Step-by-step explanation:
-3 +10 is 7
9-7 is 2.
kinda just put them together, you get (7, 2)
I hope this helps!
pls ❤ and mark brainliest pls!
The image of (-3, 9) is (7,2).
Mathematically speaking, a translation is defined by the following operation:
[tex]P'(x, y) = P(x,y) + T(x,y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Original point.[tex]T(x,y)[/tex] - Translation vector.[tex]P'(x,y)[/tex] - Resulting point.If we know that [tex]P(x,y) = (-3, 9)[/tex] and [tex]T(x,y) = (10, -7)[/tex], then the resulting point is:
[tex]P'(x,y) = (-3, 9) + (10, -7)[/tex]
[tex]P'(x,y) = (7, 2)[/tex]
Hence, the image of (-3, 9) is (7,2).
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Translate this phrase into an algebraic expression.
the sum of 4 and twice a number is 12
Answer:
4+2x = 12
Step-by-step explanation:
sum means add an is means equal
4+2x = 12
Step-by-step explanation:
the sum of 4 and twice a number is 12:
Have a great day! I hope this helps!! :)PLSSS HELPPPP AYUDA PLSSS URGENT AS WELL PLSS PSL PSL evaluate this expression “(-7x^3 + 9x^2 - 3) x (-2x^2 - 5x + 6)???
Answer: 14x^5 + 17x^4 - 87x^3 + 60x^2 + 15x - 18
Step-by-step explanation: You would need to simplify the expression by using distributive property.
If you have nine over 1 cups of jelly worms in a recipe that calls for one over 2 cups of jelly worms how many batches of the recipe can you make
Answer:
13
Step-by-step explanation:
Write the following expression as a simplified polynomial in standard form.
(x-4)^2+3(x-4)+6
Answer:
x6−24x5+240x4−1280x3+3840x2−6144x+4102
Step-by-step explanation:
I don't know if this is right or not but there ig?
PLEASE! I need Help. 50 POINTS!!
Answer:
-5^ 5
Step-by-step explanation:
-5^7 ÷ -5^2
We know that a^b ÷ a^c = a^ (b-c)
-5^(7 - 2)
-5^ 5
Answer:
C
Step-by-step explanation:
subtract exponents
Solve for X. Geometry
Answer:
11
Step-by-step explanation:
6+(2x+28)=x+23=-11 -> Answer can't be negative -> 11
Can someone give me an example on how to solve non right angled triangles?
First use the
Pythagorean theorem to find the hypotenuse h of the right triangle.
h = √(62 + 82)
= √(36 + 64)
= 10
(20+80 divided by 2x8) divided [(54 divided by 9+14)divided by 4]
Answer:
80
Step-by-step explanation:
Let's write out the equation:
8(20+80/2)/[(54/9+14)/4]
For the first part we get 8(100/2)
Then 50x8
Then 400
For the second part we have (6+14)/4 as we divide 54 by 9. PEMDAS
Then 20/4
Then 5
So our final answer is 400/5 which is 80.
Hope this helps!
The given mathematical statement can be written in the form of mathematical expression as -{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4].
What is function?A function is a relation between a dependent and independent variable.
We can write the examples of function as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is the mathematical statement as -
(20+80 divided by 2x8) divided [(54 divided by 9+14)divided by 4]
We can write the given statement in the form of mathematical expression as -
{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4]
Simplifying, we get -
{x} = {100/16} ÷ {54/23}/4
{x} = 100/16 ÷ 54/92
{x} = 100/16 x 92/54
{x} = 10.64
Therefore, the given mathematical statement can be written in the form of mathematical expression as -{x} = {(20 + 80)/(2 x 8)} ÷ [{54/(9 + 14)}/4].
To solve more questions on functions, visit the link below-https://brainly.com/question/30194223
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3^2 dived (-4+5)^2-11+2^3 hope you can answer
Answer:
3^2 = 9
(-4+5)^2-11+2^3 = -2
-2/9 or -9/2 ... re-read question is 3^2 dividing into (-4+5)^2-11+2^3
or the other way around... I think that there is a missing word...
3^2 "divided into"
vs 3^2 "divided by"
Step-by-step explanation:
Use the information in the figure. If F=116, find E
58
32
116
64
Step-by-step explanation:
Given that,
m∠F = 116°We have to find the value of m∠E.
Here, two sides are equal, thus it is an isosceles triangle. As the two sides are equal, so their angles must be equal. So, ∠E and ∠D will be equal. Let us assume the measures of both ∠E and ∠D as x.
→ Sum of all the interior angles of ∆ = 180°
→ ∠E + ∠D + ∠F = 180°
→ 116° + x + x = 180°
→ 2x = 180° – 116°
→ 2x = 64°
→ x = 64° ÷ 2
→ x = 32°
Henceforth,
→ m∠E = x
→ m∠E = 32°
[tex] \\ [/tex]
~
How do I do this question it is really hard
Answer:
Step-by-step explanation:
20. PLEASE HELP ME
Solve the equation using the zero-product property.
(x-8)(5x-6)=0
A. x = 8 or x = -1 1/5
B. x = –8 or x = 1 1/5
C. x = –1 or x = 5
D. x = 8 or x = 1 1/5
Answer:
D. x = 8 or x = 1 1/5
Step-by-step explanation:
x = 8 6/5
x = 8 1/5
zero-product property says to equate each factors to 0 .
so the factors in (x − 8)(5x − 6) = 0
are (x-8) and (5x-6)
hence equating them to 0
x-8 =0 or 5x-6 =0
x=8 or 5x=6
x=8 or x=6/5
x=8 or x= 1 and 1/5
Answer:
b) X =8 of X =11/5 is your answer
help me pleaseeeeeeeee
