Answer:
tenth term is -256
Step-by-step explanation:
It is geometric progression:
[tex]a_{n} = a( {r}^{n-1} )[/tex]
r » common ratio, r = 2 ÷ (-1) = -2
a » first term, a = ½
n » number of terms, n is 10
[tex]a_{10} = \frac{1}{2} \{{( - 2)}^{10-1} \} \\ \\ a_{10} = \frac{1}{2} (-512) \\ \\ a_{10} = \frac{-256}{1} [/tex]
Step-by-step explanation:
everything can be found in the picture
Which of the following statements are true? Select all that apply. A. 1,000 is both a perfect square and a perfect cube. B. 27 is a perfect cube. C. 6 is neither a perfect square nor a perfect cube. D. 9 is a perfect cube. E. 36 is a perfect square.
Answer:
C
E
Step-by-step explanation:
Out of 22 cakes baked today, 11 cakes were baked in the morning. What is the ratio of cakes baked in the morning to total cakes?
Answer:
1/2
Explanation:
22 ÷ 11 = 2
Exactly half of the cakes were made in the morning
Answer:
11:22
Simplified=
1:2
Find the distance between the points (5, 3) a
and (5, -6).
Answer:
Answer is 9.
Step-by-step explanation:
a (5, 3), b (5, -6)
[tex]\sqrt(x^2 - x^1) ^2+(y^2- y^1)^2\\\sqrt(5 - 5)^2 +(-6- 3)^2\\\\\sqrt(0)^2 +(-9)^2\\\\\sqrt(81)\\\\9[/tex]
Answer: 9
Step-by-step explanation:
Sqrt (5-5)^2+(-6-3)^2 =
Sqrt (0)+(-9)^2
Sqrt 81 = 9
If a metallic cylinder having volume 1540 cm^3 is melted to form cylinder having height 10 cm what is radius of cylinder
Answer:
radius is 7 cm
Step-by-step explanation:
formular for volume:
[tex]V = \pi {r}^{2} h [/tex]
r is radius
h is height
[tex]1540 = 3.14 \times {r}^{2} \times 10 \\ {r}^{2} = 49.0 \\ r = 7 \: cm[/tex]
The solution to an inequality is represented by the number line
15-(4m - 5) = 32 please help me
Answer:
m = -3
Step-by-step explanation:
15 - (4m - 5) = 32 (Given)
15 - 4m + 5 = 32 (Distributed)
20 - 4m = 32 (Added like terms)
20 - 4m - 20 = 32 - 20 (Subtract 20 on both sides)
-4m = 12 (Simplify)
-4m/-4 = 12/-4 (Divide -4 on both sides)
m = -3 (Simplify)
Find the equation of the line with slope m
= -1/2 that contains the point (-10, 1).
In slope intercept form
Answer:
y = - [tex]\frac{1}{2}[/tex] x - 4
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~~~~~~~
m = - [tex]\frac{1}{2}[/tex]
( - 10, 1 )
y - 1 = - [tex]\frac{1}{2}[/tex] [ x - ( - 10 )]
y - 1 = - [tex]\frac{1}{2}[/tex] x + ( - [tex]\frac{1}{2}[/tex] )(10)
y = - [tex]\frac{1}{2}[/tex] x - 4
Sarah is going to pay for an item using gift cards. The clerk tells her tht she will need 2 gift cards and as additional $3 to pay for the item.
Write an algebraic equation to find the cost for any amount of gift cards
Answer:
Step-by-step explanation:
t=2g+3.
if radius of circle is decreased by 50% its area is reduced by
Answer:
0.25 or 25%
Step-by-step explanation:
because the area of circle is 2πr^2 or two radius times together so that both are decreased by 50%
Given the piecewise function shown below, select all of the statements that are true.
Answer:
f(2)=4
Step-by-step explanation:
[tex]\\ \rm\longmapsto f(x)=x^2,x>1[/tex]
2>1[tex]\\ \rm\longmapsto f(2)=2^2[/tex]
[tex]\\ \rm\longmapsto f(2)=4[/tex]
Solve using substitution.
6x + y = 7
8x + 9y = 17
(_,_)
Please help me I really need it
Find the length of AB
Answer:
52
Step-by-step explanation:
AB is the hypotenuse of the right triangle
sin34 = opp/hyp = 29/hyp
hyp = 29/sin34 = 51.860457849...
Answer:
[tex]let \: |ab| \: be \: x \\ \\ \frac{ \sin(90) }{x} = \frac{ \sin(34) }{29} \\ x \sin(34) = 29 \sin(90) \\ x = \frac{29 \sin(90) }{ \sin(34) } \\ x = 51.86(2.d.p) \\ |ab| = 51.86[/tex]
What is the perimeter (in feet and inches) of a rectangle that has a length of 12'7" and a height of 11'3"?
Answer:
p=2l+2w
=2*12'7"+2*11'3"
Simplify addition radical expression
√36+√64
Answer:
14
Step-by-step explanation:
√36+√64
√36=6
√64=8
6+8
14
THANK YOU
Theresa and her nine classmates took a standardized test. Their scores were: 88, 49, 92, 47, 61, 94, 94, 76, 79, and 92. Theresa received an 88 on the test. Which percentile is she in
Answer: 60th
Step-by-step explanation:
First order the values from least to greatest:
47, 49, 61, 76, 79, 88, 92, 92, 94, 94.
We can note that the 88 is the 6th of 10 values, so 6/10 = 0.60 or the 60th percentile.
Theresa is in 60 percentile.
What is standardized test?A test that is administered and scored in a consistent, or "standard," manner is known as a standardized test. The questions and interpretations on standardized tests are designed to be consistent and are administered and scored in a predetermined, standard manner.
A standardized test is one in which the same test is given to all test takers in the same way and graded in the same way for everyone.
Given scores
88, 49, 92, 47, 61, 94, 94, 76, 79, and 92.
arrange in increasing order,
47, 49, 61, 76, 79, 88, 92, 92, 94, 94
Theresa got 88, which is sixth term
percent = term x 10
percent = 6 x 10 = 60%
Hence, she is in 60%.
Learn more about standardized test;
https://brainly.com/question/29388604
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Plz help
Elimination method
1.
3x-5y=3
4x-15=-21
2. 1000 tickets were sold for a school play. The regular price tickets were $5. Tickets for reserved seating was $2 more. The box office took in a total of $5300. How many tickets of each type were sold?
Answer:
1. (6,3)
2. x = 850, y = 150
Step-by-step explanation:
1. 3x-5y=3
4x-15y=-21
-9x +15y=-3 (multiply by -3)
4x-15y=-21
-5x=-30
x = 6
3(6)-5y=3
18-5y=3
-5y= -15
y= 3
so, x = 6, y = 3
2.
let x be regular
let y be reserved
x+y=1000
x= 5, y= 5+2=7 ("2 dollar more")
5x+7y=5300
x+y=1000
use the elimination method
x=850, y=150
so, the regular tickets were 850 and reserved tickets were 150 sold.
find the length of BE BC=3x+47 DE=10 BD=x+27 CE=x+26
Answer:
B____C____D_____E
BC+ CE = BD + DE
(3x+47) + (x+26) = ( x+27) + (10)
4x + 73 = x + 37
4x – x = 37 – 73
3x = ‐ 36
x = – 36/ 3 —> x = – 12
BC = 3x + 47 = 3(-12) + 47 = - 36 + 47 = 11
BD = x+ 27 = –12+27 = 15
CE = x + 26 = –12+26= 14
So; BE = BD+ DE = 15+ 10= 25Or ;BE= BC + CE = 11+ 14 = 25I hope I helped you^_^
Find the smaller of 2 consecutive even integers if the sum of twice the smaller integer and the larger
integers is -16.
Answer:
n = -6
Step-by-step explanation:
2n + (n + 2) = -16
3n + 2 = -16
3n = -18
Simplify the expression
A. -5.1
B. - 4.21
C. 3.42
D. 5.1
Answer:
D. [tex] 5.1[/tex]
Step-by-step explanation:
[tex] \frac{ - 44.288 - 31.6}{ - 3.1(6 - 1.2)} [/tex]
➡️ [tex] \frac{ - 75.888}{ - 3.1 \times 4.8} [/tex]
➡️ [tex] \frac{24.48}{4.8} [/tex]
➡️ [tex] = 5.1[/tex]
Which equation does not have the same solution as the others
×/3 =3
X + 9 = 12
11 x= 33
X - 2 = 1
Answer:
the first cuz in
x/3 = 3
x = 9
and in others x = 3
...............
Answer:
x/3=3
Step-by-step explanation:
because is undiferned because x can not be x/3=3
what is 0.4 repeating written as a fraction
Answer:
0.4 as a fraction would be 2/5
Answer: 4/9
Step-by-step explanation:
A cube has a volume of 125 cubic inches. What is the length of each edge?
Enter your answer in the box.
(Needs to be in inches)
The formula for the volume of a cube is V = a^3.
We know the volume is 125 cubic inches.
125 = a^3
Take the third square root
5 = a
The length of each edge is 5 inches
Answer:
So the length of the edge of a cube with a volume of 125 is 5 inches
Step-by-step explanation:
All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power.
So if we take the edge of the cube to be of length x, then:
Volume=x3
125=x3
5=x
Please Help Me Do This I cant understand it no matter how hard I try. (Problem in the image)
9514 1404 393
Answer:
7.28
Step-by-step explanation:
Consider the attachment. There, we have identified a point C that makes ABC a right triangle with the right angle at C.
The Pythagorean theorem gives you the relationship between side lengths of a right triangle. The square of the hypotenuse (longest side) is equal to the sum of the squares of the other two sides.
AB² = AC² +BC²
We can count grid squares to find the lengths of AC and BC. They are 2 units and 7 units, respectively. This means ...
AB² = 2² +7²
AB² = 2·2 +7·7 = 4 +49 = 53
When we know the square, we can find what it is the square of by taking the square root. Generally, a calculator is required for this.
AB = √53 ≈ 7.2801099
When we round this number to two decimal places (the nearest hundredth), we get ...
AB ≈ 7.28 . . . units
_____
Additional comments
You will notice that the length AC in the diagram is the difference of the x-coordinates of points A and B. Similarly, the length BC in the diagram is the difference of y-coordinates. Then the square AB² is the sum of the squares of these differences. The length AB is the square root of that sum.
In general, this is how you find the length of a line segment from its end point coordinates.
__
A little magic, perhaps: You may find that repeating the 11-digit number on the first line several times a day for a few days will help to moderate your difficulty understanding this. The numbers convey an energy that is intended to counteract the brain block that often arises when seeing a math problem.
How many hours will a car use to travel at speed of 10km per hour if the distance is 2 miles
Can anyone help?
Plis
Answer:
B. 50%
Step-by-step explanation:
7/20 = 35%
35% + 15% = 50%
100% - 50% = 50%
white → 15%
red → 7/20 · 100% = 35/100 · 100% = 35%
blue → 100% - 35% - 15% = 50%
Answer: B)
Select all of the answers below that are equivalent to G = {Nelson, Niven, Lazenby, Dalton, Moore, Brosnan, Connery, Craig}
Answer:
Step-by-step explanation:
Can we get the Answer's to see. Thanks.
Combine Like Terms
3. What is the simplest expression equivalent to 12xy + 20x - 9 - 11xy - 3x + 15?
-Xy+17-6
xy+23x+24
23xy+17X+6
xy+17X+6
Answer: Fourth Choice. xy + 17x + 6
Step-by-step explanation:
Given
12xy + 20x - 9 - 11xy - 3x + 15
Put like terms together
=12xy - 11xy + 20x - 3x + 15 - 9
Combine like terms through addition/subtraction
=xy + 17x + 6
Hope this helps!! :)
Please let me know if you have any questions
I need help with this.
9514 1404 393
Answer:
61.4
Step-by-step explanation:
The length of two semicircles of diameter 10 is the circumference of a circle of that diameter:
C = πd = 10π ≈ 31.4
The perimeter includes that length plus the lengths of two straight sides that are 15 units each.
P = 31.4 + 2×15
P = 61.4 . . . . units
What are the domain and range of the function below?
PLZ help me i hate algebra 2 and i started school last week
Answer:
According to the graph the point (0, 4) is the maximum of the function.
So the domain:
x = [0, +∞)The range:
y = (-∞, 4]One week, Rachel earned $250. She spent $120 on food, $30 on miscellaneous items, and saved the rest.
If Rachel makes a pie chart showing how she spends her money, the central angle for the food sector would be __________.
187°
173°
90°
144°
