Answer:
a(9) = 59049
Step-by-step explanation:
The general term of a geometric sequence is a(n) = a(1)*r^(n - 1), where r is the common ratio.
Here, each new element is found by multiplying the previous one by 3. Thus, r = 3, and the general geometric series for this particular series is
a(n) = 9*3^(n - 1)
The 9th term is a(9) = 9*3(9 - 1) = 9*3^8 = 59049
Write the expression as a polynomial in standard form
5x+4x^2(2x+7)-6x^2-9x
Answer:
8x^3 + 22x^2 - 4x
Easy but not for me. Help needed
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.
The radius of the circle is 3 units.
The center of the circle lies on the x-axis.
The center of the circle lies on the y-axis.
The standard form of the equation is (x – 1)² + y² = 3.
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Answer:
The first, second, and fifth statements are correct.
Step-by-step explanation:
We are given a circle with the equation:
[tex]x^2+y^2-2x-8=0[/tex]
And we want to select the statements that are true.
First, we can convert the equation into standard form. We can group each variable:
[tex](x^2-2x)+(y^2)=8[/tex]
And complete the square for the first term:
[tex](x^2-2x+1)+(y^2)=8+1[/tex]
Factor and simplify:
[tex](x-1)^2+y^2=9[/tex]
We can rewrite our equation as:
[tex](x-(1))^2+(y-(0))^2=(3)^2[/tex]
So, this tells us that we have a circle centered on (1, 0) with a radius of 3 units.
In this case, the first statement, second statement (the point (1,0) is on the x-axis), and fifth statements are correct (the square root of 9 is also 3).
Answer:
The first, second, and fifth statements are correct.
Step-by-step explanation:
i got it right on edg if right mark as brainliest
Use the diagram to determine which is the correct net of the given figure. Then, explain why the other nets are not correct--explain what is "wrong" with them.
Answer:
C is the correct answer.
Step-by-step explanation:
That is the correct one because C has 6 pages, as many has the cuboid has. As we see, the others are different.
A ladder that is 13 feet long leans against a building .The bottom of the ladder is 5 feeet away from the base of the building .how far up the side of the building does the ladder reach?
Length of the ladder = 13 m
Foot of the ladder from the wall = 5 m.
The upper end of the ladder is (13^2–5^2)^0.5 = 12 m above the ground.
In 1 second the foot of the ladder is 7 m from the wall, while the top end is (13^2–7^2)^0.5 = (169–49)^0.5 = 120^0.5 = 10.95 m. Then the top moves 1.05 m downwards.
In 2 seconds, the foot of the ladder is 9 m from the wall, while the top end is (13^2–9^2)^0.5 = (169–81)^0.5 = 88^0.5 = 9.38 m. Then the top moves 3.62 m downwards.
In 3 seconds, the foot of the ladder is 11 m from the wall, while the top end is (13^2–11^2)^0.5 = (169–121)^0.5 = 48^0.5 or 6.93 m. Then the top moves 6.07 m downwards.
So, if the foot of the ladder moves at a constant rate of 2 m/s the top end of the ladder moves downwards which varies from second to second.Answer: The lader will form the hypotenuse. Length of hypotenuse = 13m.
Let us take the horizontal distance between the wall and the ladder as ‘ground’. This g = 5m
wall ^ 2 + ground ^ 2 = 13^2 = 169
w^2 + g^2 = 169
w^2 + 25 = 169. Thus, w^2 = 144. Thus, w = 12
Rate of change of ground distance = dg / dt = 2m/s (given).
In the equation w^2 + g^2 = 169, differentiate the equation with respect to time.
2 w dw/dt + 2 g dg/dt = 0
2 (12) (dw/dt) + 2 (5) (2) = 0. So, 24 dw/dt + 20 = 0
dw/dt = -20 / 24 = -5 / 6
Thus, the height of the wall is decreasing at a rate of -5/6 m / s (that is, -0.833m/s)
The minus sign denotes that the height of the ladder is falling.
Step-by-step explanation:
FIND THE DIFFerence.
78,000 - 9,743 =
Answer:
68257
Step-by-step explanation:
Answer:
1943 is the difference between these two numbers
Which of the following statements are true?
I. All rectangles are squares.
II. All squares are rectangles.
III. Some quadrilaterals are rectangles.
Answer: the III
Step-by-step explanation: because rectangles are a type of quadrilaterals
Answer:
The answer is Some quadrilaterals are rectangles.
Step-by-step explanation:
A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. On the other hand, not all quadrilaterals and parallelograms are rectangles. A rectangle has all the properties of a parallelogram, plus the following: The diagonals are congruent.
Can anyone help out with this
quadrado de 8 + quadrado de 5 = 64 + 25 = 89
Espero ter ajudado
Answer:
9.43
Step-by-step explanation:
c=a2+b2=82+52≈9.43398
help please asap :))
Answer:
j or h
Step-by-step explanation:
Help me please!!! ASAP
Answer:
a) 21 √m inches
b) 13√2/2 m
Step-by-step explanation:
a) we want to find the perimeter of an equilateral triangle
An equilateral triangle is one which sides has the same equal length
The perimeter of this triangle is the sum of the lengths of the three sides
Mathematically, we have this as:
7 √m + 7 √m + 7 √m
= 21 √m inches
b) we want to calculate the perimeter of the given rectangle
Mathematically, we can calculate the perimeter of a rectangle using the formula below;
P = 2(l + b)
where l represents the length of the rectangle and b represents the breadth of the rectangle
From the given shape;
l = √50 m, b = 1/2 √32
So, we have the perimeter follows;
2( √32/2 + √50)
= √32 + √50/2
√32 = 4√2
√50 = 5√2
Thus, we have;
4 √2 + 5 √2/2
= (8 √2 + 5 √2)/2 = 13√2/2
compare |-0.658| and |-0.653|
Answer:
|−0.658| < |−0.653|.
Step-by-step explanation:
I really need help with this question
Answer:
32
Step-by-step explanation:
180-116=64
64÷2=32
Which of the following graphs the equation
y = 1/5x + 1
welp i cant help but i can sing ;-;
Step-by-step explanation:
please help need this
Answer:
1. B
2. D
3. A
4. C
if I'm not wrong
zack spent 1/2 as much time on his homework a shaunda plus an additional 3 hours write an expression to represent the number of hours zack spent on his homework
Answer:
[tex]y=\frac{1}{2}x+3[/tex]
Step-by-step explanation:
Let y equal the total amount of time spent on homework. Regardless of Shaunda's time spent on homework, represented by x, Zack spends half the time, represented by the 1/2. The additional 3hrs represents the y intercept, making it added on to the 1/2x expression.
If I helped, a brainliest answer would be greatly appreciated!
I will give you BRAINLIEST for the correct answer
Answer:
The answer is C
Step-by-step explanation:
all you have to is divide 150 by 6 and 54 by 6
then you take the answers and look at your possible answers to see if any of them work.
please mark as brainllest
have a very nice week.
What are the possible values of x if (4x - 5)^2=49? Check all that apply.a-4/5
B-1/2
C3
D5
E7
Answer:
e i think
Step-by-step explanation:
What
6 Jillian has repaid $700 of a $1500 debt.
percentage of the debt has been repaid?
Answer:
46.6%
Step-by-step explanation:
1500 is 100%
700 is x
multiple 700 to 100 the answer is 70000 and divide it by 1500 the percent is 46.6
You are hiring counselors for a summer camp. For every 30 campers, you need 4 counselors. You expect to have 180 campers. How many counselors should you hire? (Show your work.) Solve using a double number line.
How many counselors do you need to hire for 90 campers?
How many counselors do you need to hire for 60 campers?
Complete the double number line diagram that represents the situation
b.
a.
c.
d.
Answer: 60 campers = 8 counselors
90 campers = 12 counselors
180 campers = 24 counselors
Step-by-step explanation: Divide the number of campers by 30 then multiply by 4 because that’s the amount of counselors per 30 campers
At most, Bob can spend $50 on sandwiches and chips for his picnic. He already bought chips for six dollars and will buy sandwiches that cost $4.50 each. How many sandwiches can buy?
50 - 6 = 44
44 / 4.50 = 9.77777778 ( 9 sandwich cuz u can get 0.77777778 of a sandwich.)
He can buy 9
I need help please help this is do tomorrow
Answer: A!
Step-by-step explanation:
What is the value of x³ + y³ when x= 3 and y=4?
Right triangle ABC is shown below.
A similar right triangle would be created by a rise of 8 and a run of
Answer:
a run of 6
Explanation:
AB=4 , AC=3
If you create a rise of 8 you doubled the rise of AB [4x2], so you would double the run of AC as well [3x2] = 6
Please help with explanation each graph shown is a translation of the graph of f(x)=x^2 wrote the function in vertex form
Given:
The graph of a function.
To find:
The vertex form of the function.
Solution:
The graph is a U-shaped curve or a parabola with vertex at [tex](-3,-1)[/tex].
The parent function for vertical parabolas is [tex]f(x)=x^2[/tex] with vertex at (0,0).
It means the graph of [tex]f(x)=x^2[/tex] translated 3 units left and 1 unit down the get the given graph.
The vertex form of a parabola is:
[tex]y=a(x-h)^2+k[/tex]
Where, a is a constant and (h,k) is vertex.
The vertex of the given parabola is at [tex](-3,-1)[/tex]. So, [tex]h=-3,k=-1.[/tex].
[tex]y=a(x-(-3))^2+(-1)[/tex]
[tex]y=a(x+3)^2-1[/tex] ...(i)
The graph passes through point (-2,0). Putting [tex]x=-2,y=0[/tex], we get
[tex]0=a(-2+3)^2-1[/tex]
[tex]1=a(1)^2[/tex]
[tex]1=a[/tex]
Putting [tex]a=1[/tex] in (i).
[tex]y=1(x+3)^2-1[/tex]
[tex]y=(x+3)^2-1[/tex]
Therefore, the vertex form of the given graph is [tex]y=(x+3)^2-1[/tex].
g divided by 3/4 = 1 1/2
Answer:
g = 1 1/8
Step-by-step explanation:
g/(3/4) = 1 1/2
g = 1 1/2(3/4) = 1 1/8
What is this plz this is the last thing i need
Answer:
Exactly 1
Step-by-step explanation:
y = 2 x + 1
Compare lengths. Write >, <, or = .
5 ft 3 in. and 64 in.
Answer:
<
Step-by-step explanation:
35=25b as a fractional answer
Answer:
b= [tex]\frac{7}{5}[/tex] or b=1.4 or b=1 [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Probably wrong I literally just searched it up.
HELP PLEASE ITS PAST DUE AND NEED THIS DONE
Answer:
24cu. cm
Step-by-step explanation:
rewrite the following expression using base only once 7^6 x 7^8
Answer:
[tex]7^{14}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then
[tex]7^{6}[/tex] × [tex]7^{8}[/tex] = [tex]7^{(6+8)}[/tex] = [tex]7^{14}[/tex]