Answer:
£58.50
Step-by-step explanation:
Ratio of Paint : Cost
10 : 45
13 : x
10x : 585
[tex] \frac{10x}{10} = \frac{585}{10} \\ x = 58.5 [/tex]
Evaluate the infinite series:
[tex] \displaystyle \large{ \sum_{n = 1}^{ \infty} \frac{1}{(n + 1) \sqrt{n} + n \sqrt{n + 1} } }[/tex]
Please show your work too — thanks!
9514 1404 393
Answer:
sum = 1
Step-by-step explanation:
The method of partial sums has you look at sums of various numbers of terms of the series to see if there is a pattern that suggests either divergence or a limit. Here, the partial sums suggest the series sum is 1.
__
In the attachment, we have computed sums of 1 term, 10 terms, 100 terms, and so on up to 10^8 terms. These sums seem to approach the value 1.
Individual terms get small faster than for a harmonic series, which his known not to converge, but more slowly than a quadratic series. Large numbered terms are approximately proportional to n^-(3/2).
_____
You can actually compute the sum exactly, without reference to partial sums. Each term of the sum can be rewritten as ...
[tex]\dfrac{1}{(n+1)\sqrt{n}+n\sqrt{n+1}}=\dfrac{1}{\sqrt{n(n+1)}(\sqrt{n+1}+\sqrt{n})}\\\\=\dfrac{\sqrt{n+1}-\sqrt{n}}{\sqrt{n(n+1)}}=\dfrac{1}{\sqrt{n}}-\dfrac{1}{\sqrt{n+1}}[/tex]
Then successive terms will cancel the intermediate fractions. So, for example, the sum of the first 3 terms is ...
(1/√1 -1/√2) +(1/√2 -1/√3) +(1/√3 -1/√4) = 1 -1/√4
This means the given sum will evaluate to ...
1 -1/√∞ = 1 -0 = 1 . . . sum of the infinite series
Kim buys a dress for $65 and some shirts for $15 each. Linda buys some shoes for $50 and some shirts for $20. If the girls spend the same amount of money and get the same number of shirts, how many shirts did they get?
Define a variable:
Write an Equation or Inequality:
Answer:
5 shirts
Step-by-step explanation:
we can use the problem to get an equation:
65+15x=50+20x
subtract 50 from each side to get:
15+15x=20x
subtract 15x from each side to get:
15=5x
divide each side by 5 to get your answer:
x=5
In scientific notation, 670,000,000 + 700,000,000 = ?
Answer:
1.37 x 10 -9
Step-by-step explanation:
Sage needs 2 boards to make a shelf. One board is 260 cm long and the other is 1 1/4 m long. What is the total length of the shelf?
Answer:
385
Step-by-step explanation:
1 1/4 meters = 125 cm
125+260 = 385
Answer:
sum = 260 + 270 = 535 cm or = 5,35 m
Step-by-step explanation: take 11/4m = 2,75m * 100 = 275 cm
I need help finding the x
Answer:
the answer is x=11......
HELP ME WITH ANGLES PLEASE>
Answer:
x = 33
Step-by-step explanation:
Pls brainliest I knew it because of K12
find the midpoimt of the line segment between the points (4,-7) and (12, -1)
a. (8, -4)
b. (4, -3)
c. (16, -4)
d. (4, -4)
The midpoint is the middle of the line. Thus for a line segment, it is finding the halfway point between the x and y values.
Midpoint = ( [¹/₂ (x₁ + x₂)] , [¹/₂(y₁ + y₂)])
∴ for a line segments with endpoints (4,-7) and (12, -1),
Midpoint = ( [¹/₂ (12 + 4)] , [¹/₂(-7 - 1)])
= ( [¹/₂ (16)] , [¹/₂(-8)])
= (8, -4) (OPTION A)
20 POINT QUESTION!!!!
f(x)=12x^(2)+4x-5
find the zeroes of the function...
Answer:
x = - [tex]\frac{5}{6}[/tex] , x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
To find the zeros let f(x) = 0 , that is
12x² + 4x - 5 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 12 × - 5 = - 60 and sum = + 4
The factors are - 6 and + 10
Use these factors to split the x- term
12x² - 6x + 10x - 5 = 0 ( factor first/second and third/fourth terms )
6x(2x - 1) + 5(2x - 1) = 0 ← factor out (2x - 1) from each term
(2x - 1)(6x + 5) = 0
Equate each factor to zero and solve for x
6x + 5 = 0 ⇒ 6x = - 5 ⇒ x = - [tex]\frac{5}{6}[/tex]
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
I got the rest please answer for last question!
Answer:
y = -3x + 1
Step-by-step explanation:
see if that's correct? I'm not quite sure
A 3-sided polygon that contains a 90° angle is called:
Question 3 options:
A) Pythagorean theorem
B) hypotenuse
C) right triangle
D) Legs
Answer:
c right triangle
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
A: Method that is used to find either the legs or the hypotenuse of a right triangle.
B: Diagonal line of a right triangle, also used in the Pythagorean Theorem
C: 3-sided shape with a 90-degree angle
D. Lenth and height of a right triangle, used in the Pythagorean Theorem
PLS HELP me!!!!!!!!!!!!!!!!!!!!11
Answer:
The measure of the angle ∠ABC is 108°
Step-by-step explanation:
An isosceles triangle has two equal sides and two equal angles
In this problem
∠BDA=∠BAD= 66° ----> the angles of the base are equals
Find the measure of the vertex angle
∠ABD = 180° - 2×66° = 48° (the sum of the internal angles of a triangle is equal to 180°)
then. Find the measure of the angle ∠CBD in the equilateral triangle we know that
The measure of the internal angle in a equilateral triangle is 60° so
∠CBD= 60°
Then find the measure of the angle ∠ABC
∠ABC=∠ABD+∠DBC
substitute the values
∠ABC= 48°+60° = 108°
The answer is 108°
The measure of the angle ∠ABC is 108°
Answer:
108 degrees
Step-by-step explanation:
Hi there!
1. Determine the measure of angle DBC
2. Determine the measure of angle ABD
3. Add them to determine the measure of angle ABC
We're given that triangle ABD is isosceles and triangle BCD is equilateral.
Because BCD is an equilateral triangle, all of its interior angles at 60 degrees.
Therefore, the measure of angle DBC is 60 degrees.
Triangle ABD is isosceles, so therefore, angle ADB is also 66 degrees.
The sum of the interior angles of a triangle is 180 degrees. Therefore, the measure of angle ABD is 180-66-66, which is 48 degrees.
To find ABC, add 60 and 48:
60+48 = 108
Therefore, angle ABC measures 108 degrees.
I hope this helps!
Multiply. Write the answer in the simplest form.
4/7 x 4 3/8 x 5/6
Answer:
2 1/12
The answer should be 2 1/12
(Two and one over twelve)
or
(Two and a one twelfth)
Answer:
2.1
Step-by-step explanation:
...........................
The coefficient of x in the expansion of (x+3)(x - 1) is
Answer:
^2+2−3
Step-by-step explanation:
Answer: the coefficient of x in the expansion is 2
Step-by-step explanation:
(x+3)(x-1)= (x)(x) + (x)(-1) + (3)(x) + (3)(-1)
which equals x^2 -x +3x -3 which is x^2 +2x -3
the leading coefficient of x^2 1. and the coefficient of x is 2.
list the coordinate for both pairs.
Answer:
Hi I hope this helps
A = X : -3 Y : -3
B = X : -2 Y : 1
Step-by-step explanation:
please let me know if it's right or wrong
Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)
___________
[tex] \: [/tex]
[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]
Step by step :x² = (6,9)² + (5,3)²
x² = 47,61 + 28,09
x² = 75,7
x = 8,7yd✔
Use the remainder theorem to determine whether x=-4 is a solution of x^6+5x^5+5^4+5^3+2x^2-10x-8.
Hello haohaoxNienie!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Use the remainder theorem to determine whether x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.
[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]
Refer to the attached picture.
Steps :-First find the divisor using the given information (x = - 4).Now, divide x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8 by x + 4.We'll get the remainder as 0.Using the remainder theorem & solving it, we'll get LHS & RHS as 0.Hence proved.Answer :- Yes, x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.
__________________
Hope it'll help you!
ℓu¢αzz ッ
Una membresía de 2 meses para el gimnasio cuesta $ 125. A Jim le gustaría ser miembro durante 8 meses. ¿Cuál es la cantidad total que pagará durante 8 meses?
Answer:
$ 500
Step-by-step explanation:
Básicamente divides 125 entre 2 (para saber el precio de la mensualidad, asumiendo que no hay descuentos) y luego ese resultado lo multiplicamos por 8, ya que es la cantidad de meses que nos interesa pagar (no se hace por 6 porque en ninguna parte dice que ya ha pagado esos 2 meses)
tan9°. tan27°. tan45°. tan72°. tan81°= 1
could u plz solve it with clear process
Correct question:-
Prove that tan9.tan17.tan45.tan73.tan81=1
LHS
[tex]\\ \sf\longmapsto tan9.tan17.tan45.tan73.tan81[/tex]
[tex]\\ \sf\longmapsto tan9.tan81.tan17.tan73.tan45[/tex]
[tex]\\ \sf\longmapsto tan(90-81).tan81.tan(90-73).tan73.1[/tex]
[tex]\\ \sf\longmapsto cot81.tan81.cot73.tan73[/tex]
[tex]\\ \sf\longmapsto 1.1[/tex]
[tex]\\ \sf\longmapsto 1[/tex]
PLS ANSWER!!
32-2(1+3) squared
Answer:32-2=30 30+1+3=34 . Ans:34
Step-by-step explanation:
Answer:
32-3(4)
24
24 squared is
576
The additive inverse of a - b is?
Answer:
its b - a
Step-by-step explanation:
the additive inverse of a − b is −(a − b) which can be simplified to b − a.
1200 divided by 95 explanation answer
Answer:
12.6
Step-by-step explanation:
You would get 12.6315789474 but you round to the nearest tenth.
After swimming to a depth of 55 feet below the surface of
the water, a fish swims back up 30 feet. Use a number line
a
to help you create an equation that shows the new location
of the fish in relation to the water's surface.
-80 -70 -60 -50 -40 -30 -20 -10 0
10
Interpret the sum in the context of the problem.
A. The equation is -55 +(-30) = -85. The fish is 85 feet below
the water's surface.
O B. The equation is -55+ 30 = -25. The fish is 25 feet below the
water's surface.
C. The equation is -55+ (-30) = -25. The fish is 25 feet below
the water's surface.
D. The equation is -55+ 30 = -85. The fish is 85 feet below the
water's surface.
Answer:
Your answer to this question is B. The equation is -55 + 30 = -25. The fish is 25 feet below the water's surface.
Step-by-step explanation:
Hope this helps!
Answer:
B. The equation is -55 + 30 = -25. The fish is 25 feet below the water's surface.
Step-by-step explanation:
HOPE IT HEPL!! :D
Determine what type of model best fits the given situation:
A. none of these
B. exponential
C. quadratic
D. linear
Reset Selection
Answer:
A. none of these
Step-by-step explanation:
It's an absolute value function such as : y = 3*| x-1 |
Apply the distributive property:
-3(x+2) =
Answer:
-3x-6
Step-by-step explanation:
you multiply x by -3 getting -3x then you multiply -3 by positve 2 getting -6
Hello skm413002!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Apply the distributive property:
-3(x+2) =
[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]
By applying the distributive property, we can solve it as....
[tex] \sf \: - 3(x + 2) \\ = \sf \: (- 3 \times x) -( 3 \times 2) \\ = \large \boxed{\boxed{ \bf - 3x - 6}}[/tex]
Method :-Distributive property.Steps :-Multiply -3 with x & 2.Add the 2 products.You'll get the answer as -3x - 6.__________________
Hope it'll help you!
ℓu¢αzz ッ
What is the equation for the line that is parallel to the x-axis and passes through the point (5, -2)?
Answer:
y = -2
Step-by-step explanation:
Ayudaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
c:
Answer:
"uuuuuuh in english"
Step-by-step explanation:
Hmingsanga sells a washing machine for Rs 13,500. He loses 20% in the bargain. What was the price at wich he bought it?
Answer:
10800
Step-by-step explanation:
Answer:
9220 Yan na ang true answer
Which fraction is equivalent to 3/10?
Answer:
[tex]\frac{12}{40\\}[/tex]
Step-by-step explanation:
[tex]\frac{3}{10}[/tex] × [tex]\frac{4}{4} =\frac{12}{40}[/tex]
help fast pleaseee
NO RANDOMS
Answer:
44.8
Step-by-step explanation:
Take the second number and subtract the first number
44.4 - (-.4)
Subtracting a negative is like adding
44.4 +.4
44.8
Answer:
[tex]D.44.8[/tex]
Step-by-step explanation:
The difference between two numbers can be obtained by subtracting the smaller number from the bigger number.
- 0.4 is the smaller number, and 44.4 is the larger number. Therefore, the difference between the two is 44.4 - (- 0.4).
Que. 19. In the equation x = 2y + 9, if x = 1, than y =
Answer: y = -4
Step-by-step explanation:
If x = 1
1 = 2y + 9
1 - 9 = 2y
-8 = 2y
y = -8/2
y = -4
please give me a brainliest answer
Answer:
[tex]y = ( - 4)[/tex]
Step-by-step explanation:
Given that,
[tex]x = 1[/tex]
Question :
[tex]x = 2y + 9[/tex]
You have to find the value of y. So, make the y as the Subject
[tex]x = 2y + 9 \\ x - 9 = 2y \\ \frac{x - 9}{2} = \frac{2y}{2} \\ \frac{x - 9}{2} = y[/tex]
Now replace 1 instead of x
[tex]y = \frac{x - 9}{2} \\ y = \frac{1 - 9}{2} \\ y = \frac{ - 8}{2} \\ y = - 4[/tex]
Hope this helps you.
Let me know if you have any other questions :-)