Answer:
Because the first has () and the second doesn't so if u multiply the first one you will have to start with the () but if u answer the second u can start with anything
please answer this asap giving brainliest!!!
Answer:
b = 39
Step-by-step explanation:
Opposite sides of a parallelogram are congruent to each other. This implies that:
ST = VU
Therefore:
2b - 39 = b (substitution)
2b - 39 - b = 0 (subtraction property of equality)
b - 39 = 0
b = 0 + 39 (addition property of equality)
b = 39
Someone pls help! X*2(4x+3^2%)/23/21^2
Answer:
x+2^23(45*21)
Step-by-step explanation:
Determine the above sequence converges or diverges. If the sequence converges determine its limit
Answer:
This series is convergent. The partial sums of this series converge to [tex]\displaystyle \frac{2}{3}[/tex].
Step-by-step explanation:
The [tex]n[/tex]th partial sum of a series is the sum of its first [tex]n\!\![/tex] terms. In symbols, if [tex]a_n[/tex] denote the [tex]n\![/tex]th term of the original series, the [tex]\! n[/tex]th partial sum of this series would be:
[tex]\begin{aligned} S_n &= \sum\limits_{k = 1}^{n} a_k \\ &= a_1 + a_2 + \cdots + a_{k}\end{aligned}[/tex].
A series is convergent if the limit of its partial sums, [tex]\displaystyle \lim\limits_{n \to \infty} S_{n}[/tex], exists (should be a finite number.)
In this question, the [tex]n[/tex]th term of this original series is:
[tex]\displaystyle a_{n} = \frac{{(-1)}^{n+1}}{{2}^{n}}[/tex].
The first thing to notice is the [tex]{(-1)}^{n+1}[/tex] in the expression for the [tex]n[/tex]th term of this series. Because of this expression, signs of consecutive terms of this series would alternate between positive and negative. This series is considered an alternating series.
One useful property of alternating series is that it would be relatively easy to find out if the series is convergent (in other words, whether [tex]\displaystyle \lim\limits_{n \to \infty} S_{n}[/tex] exists.)
If [tex]\lbrace a_n \rbrace[/tex] is an alternating series (signs of consecutive terms alternate,) it would be convergent (that is: the partial sum limit [tex]\displaystyle \lim\limits_{n \to \infty} S_{n}[/tex] exists) as long as [tex]\lim\limits_{n \to \infty} |a_{n}| = 0[/tex].
For the alternating series in this question, indeed:
[tex]\begin{aligned}\lim\limits_{n \to \infty} |a_n| &= \lim\limits_{n \to \infty} \left|\frac{{(-1)}^{n+1}}{{2}^{n}}\right| = \lim\limits_{n \to \infty} {\left(\frac{1}{2}\right)}^{n} =0\end{aligned}[/tex].
Therefore, this series is indeed convergent. However, this conclusion doesn't give the exact value of [tex]\displaystyle \lim\limits_{n \to \infty} S_{n}[/tex]. The exact value of that limit needs to be found in other ways.
Notice that [tex]\lbrace a_n \rbrace[/tex] is a geometric series with the first term is [tex]a_0 = (-1)[/tex] while the common ratio is [tex]r = (- 1/ 2)[/tex]. Apply the formula for the sum of geometric series to find an expression for [tex]S_n[/tex]:
[tex]\begin{aligned}S_n &= \frac{a_0 \cdot \left(1 - r^{n}\right)}{1 - r} \\ &= \frac{\displaystyle (-1) \cdot \left(1 - {(-1 / 2)}^{n}\right)}{1 - (-1/2)} \\ &= \frac{-1 + {(-1 / 2)}^{n}}{3/2} = -\frac{2}{3} + \frac{2}{3} \cdot {\left(-\frac{1}{2}\right)}^{n}\end{aligned}[/tex].
Evaluate the limit [tex]\displaystyle \lim\limits_{n \to \infty} S_{n}[/tex]:
[tex]\begin{aligned} \lim\limits_{n \to \infty} S_{n} &= \lim\limits_{n \to \infty} \left(-\frac{2}{3} + \frac{2}{3} \cdot {\left(-\frac{1}{2}\right)}^{n}\right) \\ &= -\frac{2}{3} + \frac{2}{3} \cdot \underbrace{\lim\limits_{n \to \infty} \left[{\left(-\frac{1}{2}\right)}^{n} \right] }_{0}= -\frac{2}{3}\end{aligned}}_[/tex].
Therefore, the partial sum of this series converges to [tex]\displaystyle \left(- \frac{2}{3}\right)[/tex].
Helppppp Me!!!!!!!!!
Answer:
Top right
Step-by-step explanation:
Answer:
The bottom right triangle is both acute and scalene.
Explanation:
A scalene triangle is a triangle in which all 3 sides have different lengths. An acute triangle has 3 different angles under 90º. This triangle has 3 different lengths (8.3ft, 9ft, and 10 ft) and angles less than 90º (51º, 58º, and 71º); therefore, it's both acute and scalene.
Find the value of x and y
Answer:
Step-by-step explanation:
Step One: We need to find a way to equate either the x terms of the y terms in each equation. ...
Step Two: Take equation b) from equation a) to eliminate the x component. ...
Step Three: substitute the value of y into either equation to find the value of x.
hope this helps!
The sales tax of 8% on a purchase of $12 is
A. $0.86
B. $0.96
C. $1.06
D. $1.60
What are the steps to solving this equation? 4x+20x-8=-2(-12x+8)
Answer: See explanation
Step-by-step explanation:
4x + 20x - 8 = -2 (-12x + 8)
Step 1
Distribute -2 to (-12x + 8)
4x + 20x - 8 = 24x - 16
Step 2
Combine 4x and 20x together
24x - 8 = 24x - 16
Step 3
Add 8 to both sides
24x = 24x - 8
Step 4
Subtract 24x from both sides
0 ≠ -8
That is incorrect so it's not a solution
Hope I helped!
What is the value of x?
O 100°
140°
O 120°
O 130°
O 150°
56°
34°
Mark this and retum
Save and Exit
Next
Submit
Answer:
ans will option 130 degree
The value of x in the given figure is 130 degrees.
What is the value of x?The first step is to determine the value of all of the angles in the quadrilateral.
First angle = 180 - 140 = 40 Second angle = 180 - 34 = 146Third angle = 180 - 56 = 124Fourth angle = 360 - (40 + 146 + 124) = 50Angle x = 180 - 50 = 130
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The length of a basketball court is (2x-6). The width of the court is (3x + 1). Write the expression for the perimeter of the basketball court.
Answer:
the expression of perimeter is 2(l+b)
Do this worksheet if someone do I will make him or her brainly if correct
Step-by-step explanation:
1) 15 % games lost
2) 3/20
3) 271/500
4) 12/25
Plot the points (0, −5) and (2, 4) on the coordinate plane.
Answer:
Hope i helped
Step-by-step explanation:
The answer is in the picture.
if there is a trophy that is 13 inches tall and it's shadow is 26 inches and there's another trophy that's 7 inches tall, whats is it's height?
x times x times x times y times y
Answer:
3x × 2y
Step-by-step explanation:
x*x*x= 3x
y*y= 2y
3x*2y
What is 4/5 divided by 1/2
Answer:
4/5 / 1/2=1 3/5
Step-by-step explanation:
Can someone help me with this question?
Answer:it is A
Step-by-step explanation:
Plz help me I am timed plz don’t guess
DeArah made 88, 90, and 92 on her math tests this grading
period. What is the mean of her math test scores?
OA) 89
OB) 90
OC) 91
OD) 92
Answer:
B. 90
Step-by-step explanation:
Add them all, divide by 3.
88 + 90 + 92 = ?
270 = 270
270/3 = 90
Answer: 90
Step-by-step explanation:
You just add up all the numbers then divide by how many numbers there are.
( 88 + 90 + 92 = 270 ) There are 3 numbers so take 270 / 3 = 90.
slope of the line for (1,2) and (2,-3)
Answer:
-5/1
Step-by-step explanation:
Remember: Rise over Run
To solve this...
You will need the equation:
y² - y¹
x² - x¹
So now you have to label ( 1 , 2 ) and ( 2 , - 3 ) as either x¹ or y¹ etc.
x¹ = 1 and y¹ = 2
x² = 2 and y² = -3
Now you know your plug ins. Just solve it.
Your equation should look like this now:
-3 - 2 -5
------- = ----- ( so this is your answer )
2 - 1 1
Choose the answer that represents the expression
B4
b*b
b*b*b*b
b*b*b
Answer:
4 B
Step-by-step explanation:
Given that f(x)=x^2-1
A) find f(5)
B) find f^-1(x)
C)f^-1(8)
Answer:
a) f(5) = 24
b) The inverse of given function
f⁻¹ ( x ) = √x+1
c) f⁻¹ ( 8 ) = √9 =3
Step-by-step explanation:
Explanation:-
Given f(x) = x² - 1
a)
f(5) = 5² -1 = 25-1 =24
b)
put y = f(x) = x² - 1
⇒ y = x² - 1
⇒ x² = y + 1
⇒ x = √y+1
⇒ f⁻¹ ( y ) = √y+1 ( ∵ f⁻¹ ( y) =x)
The inverse of given function
f⁻¹ ( x ) = √x+1
c) put x=8
f⁻¹ ( 8 ) = √8+1 = √9 =3
Simplify by combining like terms.
4 1/3 B + 2 3/4 B + 1
Remember to simplify the mixed number!
Enter the number that goes in the green box.
What is the slope of the line which passes through (1, 4) and (0, 1)?
a small refrigerator is a cube with a side length of 12 inches use the formula S= 6s2 to find the surface area of the cube
can someone please help me with this it's the last problem on my exam
Answer:
Surface area of the refrigerator is 864 in².
Step-by-step explanation:
Formula to calculate the surface area of a cube is,
Surface area = 6s²
Here, s = length of a side of the cube
If side length 's' = 12 inches
By substituting this value in the formula,
Surface area = 6(12)²
= 6 × 144
= 864 inch²
Therefore, surface area of the refrigerator is 864 in².
anna has 300naira and ojo has 1860naira.if anna saves 50 naira a day and ojo spends 70 a day, after how many days will they have equal amounts?
Answer:
Anna and Ojo will have same amount after 13 days.
Step-by-step explanation:
Given that:
Anna has 300 naira
She saves 50 naira per day.
Let,
x be the number of days.
y be the amount saved
y = 50x + 300
Ojo has 1860 naira
He spends 70 naira per day.
Let,
x be the number of days
y be the amount left
y = 1860 - 70x
For equal amount, the equations will be equal
50x +300 = 1860 - 70x
50x + 70x = 1860 - 300
120x = 1560
Dividing both sides by 120
[tex]\frac{120x}{120}=\frac{1560}{120}\\x=13[/tex]
Hence,
Anna and Ojo will have same amount after 13 days.
(Worth 50 points. Don't post your answer unless you have good ideas) Solve the following problem:
Which triangles are similar ?
Answer: ΔABC ≅ ΔADB
Step-by-step explanation:
In order to be similar, they must have the same angles.
ΔABC ΔADB ΔDBC
∠A = 180 - (2a + b) ∠A = 180 - (2a + b) ∠D = 180 - (a + b)
∠B = a + b ∠D = a + b ∠B = b
∠C = a ∠B = a ∠C = a
ΔABC and ΔADB have the same angles so they are similar.
If the following figure is a rectangle, find wz.
Answer:
Step-by-step explanation:
as both sides are equal so
7x-6 = 3x+14
7x-3x = 14+6
4x = 20
x= 5
Now, put x in 7x-6 to find WZ
7(5)-6 = 29
Also, 3(5)+14 = 29
The measurement of the side WZ of rectangle WXYZ is 29.
What are rectangles?A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel.
Given that, WXYZ is a rectangle, we need to find WZ,
As we know that, a rectangle is a type of parallelogram and opposite sides of a parallelogram are equal and parallel,
WZ and XY are opposite sides of the rectangle, therefore, are equal.
Thus,
WZ = XY
7x - 6 = 3x + 14
4x = 20
x = 5
Put x =5 in 7x - 6
WZ = 7(5) - 6
WZ = 29
Hence, the measurement of the side WZ of rectangle WXYZ is 29.
Learn more about rectangle, click;
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Calculating Percents 2
You may use a calculator for all calculations
Part 1 - Write each percent as a decimal equivalent
120%
2 15%
3 45%
4 50%
51%
63%
75%
8 6%
Answer: 120% is 1.2 in decimal form.
215% 2.15
345% 345
450% 4.50
51% 0.51
63% 0.63
75% 0.75
86$ 0.86
Step-by-step explanation:
so I really need help. you have to set fractions equal to each other and try and find out how many prefer sweaters and whatnot. Also, the answer isn't supposed to be a fraction, it's supposed to be a whole number, you find the answer by using fractions with the information provided in the word problem above ^
I hope that makes sense. lol, thank you :)
Answer:
84
Step-by-step explanation:
52%of math problem are pointless
52%of math problem = pointless
52% of 175
(52/100)×175
91 =pointless
math problem - pointless =not pointless
175 - 91 = 84
Subtract 4/15 - 1/6. Simplify the answer.
Answer:
Find the smallest multiple the denominators have in common
30
Expand each fraction so that the denominators are 30
[tex]\frac{8}{30} + \frac{- 5}{30}[/tex]
Add or subtract the numerators and keep the same denominator
[tex]\frac{8- 5}{30}[/tex]
Simplify
[tex]\frac{1}{10}[/tex]
You have a globe that has a radius of 11 inches. Find the volume of your globe
Answer:5,575.3in cubed
Step-by-step explanation:
The volume of a globe that has a radius of 11 inches would be equal to 5,575.3 cubic inches.
What is the volume of a sphere?A sphere is a three-dimensional shape analouge of a circle.
The volume of a sphere = 4/3πr^3
The radius of the sphere is 11 inches.
The volume of a sphere = 4/3πr^3
= 4/3 x 11 x 11 x 11 x π
= 4/3 x 11 x 11 x 11 x 3.14
= 5,575.3
Thus, The volume of a globe that has a radius of 11 inches would be equal to 5,575.3 cubic inches.
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Drag each number to the correct location on the table. Classify the numbers according to their positions on a vertical number line. -4.5 4 -2.5 0.5 -0.5 1.5 Below -2 Between -2 and 1 Above 1
Answer:
Below -2 Is -4.5 - 2.5 then between -2 and 1 -0.5 and above 1 is 0.5, 1.5, and 4
Step-by-step explanation: