Answer:
The answer is below
Step-by-step explanation:
The nth term of a geometric sequence is given as:
[tex]a_n=ar^{n-1}\\\\where\ a=first\ term,a_n=nth\ term, r=common\ ratio=\frac{a_n}{a_{n-1}}[/tex]
9)
a = -4, r = 12 / -4 = -3
10)
a = -2, r = -8 / -2 = 4
[tex]a_{8}=-2*(4)^{8-1}=-2*(4)^{7}=-32768[/tex]
11)
a = -1, r = -5
[tex]a_{9}=-1*(-5)^{9-1}=-1*(-5)^{8}=-390625[/tex]
12)
a = -1, r = -2
[tex]a_{12}=-1*(-2)^{12-1}=-1*(-2)^{11}=2048[/tex]
We want to factor the following expression:
4x² - 9y
MY
Which pattern can we use to factor the expression?
U and V are either constant integers or single-variable expressions.
Pro
Choose 1 answer:
Pro
Tea
(U + V)? or (U – V)
e-(U+V)(U-V)
We can't use any of the patterns.
Answer:
The answer is B :
y is inversely proportional to the square of x.
y = 8 when x = 3.5
8
Find the negative value of x when y= 8/9
Step-by-step explanation:
x²y = k, where k is a real constant.
When x = 3.5, y = 8.
=> (3.5)²(8) = k, k = 98.
When y = 8/9,
we have x²(8/9) = (98).
=> x² = 110.25
=> x = 10.5 or x = -10.5.
Since we want the negative value,
the answer is x = -10.5.
The required negative value of variable x when y = 8/9 is -10.5. To understand the calculations, check below.
Proportion:Important information:
y is inversely proportional to the square of x.y=8 when x=3.5.Using the given inverse proportional statement, we get
[tex]y\propto \dfrac{1}{x^2}[/tex]
[tex]y=\dfrac{k}{x^2}[/tex] ...(i)
Substitute [tex]x=3.5,y=8[/tex].
[tex]8=\dfrac{k}{3.5^2}[/tex]
[tex]8=\dfrac{k}{12.25}[/tex]
[tex]8\times 12.25=k[/tex]
[tex]98=k[/tex]
Substitute [tex]k=98[/tex] in (i).
[tex]y=\dfrac{98}{x^2}[/tex]
Substitute [tex]y=\dfrac{8}{9}[/tex].
[tex]\dfrac{8}{9}=\dfrac{98}{x^2}[/tex]
[tex]x^2=98\times \dfrac{9}{8}[/tex]
[tex]x^2=110.25[/tex]
[tex]x=\pm \sqrt{110.25}[/tex]
[tex]x=\pm 10.5[/tex]
We need only negative value.
[tex]x=-10.5[/tex]
Therefore, the required value of variable x is -10.5.
Find out more about 'Proportion' here:
https://brainly.com/question/15179946
HELP I DON’t know how to answer this!!
Answer:
35 ft
Step-by-step explanation:
Since E and F are both midpoints, you can create a midsegment between them. A midsegment is half the length of the line segment parallel to it (the 70 ft) So:
70/2=35
I REALLY REALLY NEED THESE TODAY PLEASE PLEASE HELP THIS IS LIKE THE 100TH TIME I’VE ASKED I’LL GIVE BRAINLIEST
Please find answers in the explanation below
Step-by-step explanation:
4. Each unlabelled opposites are positioned at a 0.5 interval. That means each division in between 0 and 1, 1 and 2, 2 and 3, 3 and 4 are 0.5. So we have 0, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4
Same idea is applicable on the negative side of the graph. We have 0, -0.5, -1, -1.5, -2, -2.5, -3, -3.5, 4.
5. Like 4 above, each unlabelled opposite is positioned at an 0.5 or 1/2 interval.
So we have, 0, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4 (for the positive side) and 0, -0.5, -1, -1.5, -2, -2.5, -3, -3.5, 4 (for the negative side).
6a.
A positive number is one greater than zero while a negative number is one lesser than zero. So we have -0.5 and 0.5
6b. -0.4, 0.4
6c. -3.5, -3 1/2
Cheers
Write an explicit formula for an, the nth term of the sequence 7, 12, 17,
Step-by-step explanation:
I can't really remember this but it should be
5n +2
Something like this, I am not sure but when you fix in the values you'll get the answer. Do you understand what I'm saying?
A miniature rocket is launched off a roof 20 feet above the ground with an initial velocity of 22 feet per second.
a) How high is the rocket after 3 seconds?
b) How long will it take before the rocket reaches the ground?
Answer:
B (had to be 20 leeters long ;-;;;;;;;;;;;;;;;;;;;;)
Step-by-step explanation:
3x-10=8 i need help with this
Answer:
x=6
Step-by-step explanation:
3x=18
x=6
Answer:
x=6
Step-by-step explanation:
2 step equations
857 runners entered a race. 354 more entered before
the race started. How many runners are in the race?
Answer:
D. 1,211
Step-by-step explanation:
857 + 354 = 1,211 runners
Answer: I think D) 1,211
Step-by-step explanation:857+354
someone help me with my math homework?
Answer:
c
Step-by-step explanation:
1 one gets it right will get crown plz hurry!!!!!!!!!!!!!!!!
Thirty pounds of grass seed will cover One-third of an acre. Which unit rate describes this situation? 10 pounds per acre 40 pounds per acre 90 pounds per acre 120 pounds per acre
Step-by-step explanation:
As always, the "unit rate" can be written two ways. You have not specified which one you want.
.. (30 lb)/(1/3 ac) = 90 lb/ac
.. (1/3 ac)/(30 lb) = (1/90) ac/lb
Answer:
90 pounds per arce
Step-by-step explanation: cause he said
I need help please, it’s due in 10 minutes
Answer:
D) 133
Step-by-step explanation:
The total angle of a line is 180 degrees.
If you subtract angle FBE from line FD, you will get angle EBD.
180-47= 133.
WILL mark brainliest
Answer:
do u have to find the pattern?
Step-by-step explanation:
The cost of polishing 35 identical wooden cubical boxes at the rate of rs. 20 per sq. cm is rs. 1,51,200. Find the edge of each cubical box
Answer: 6 cm
Step-by-step explanation:
Total surface area of cubical box = [tex]6a^2[/tex] , a= edge length of cube (i)
As per given ,
Total surface area of one box = [tex]\dfrac{\text{Cost of polishing}}{\text{Rate} \times\text{Number of boxes}}[/tex]
[tex]=\dfrac{151200}{20\times35}\\\\=\dfrac{151200}{700}\\\\= 216\ sq. cm[/tex] (ii)
Now from (i) and (ii) ,
[tex]6a^2 = 216\\\\\Rightarrow\ a^2= 36\\\\\Rightarrow\ a= 6 \text{ [By taking square root on both sides]}[/tex]
Hence, the edge of each cubical box = 6 cm.
I neeeeeedddddd helppppp
Answer:
yes
Step-by-step explanation:
They both have a 25 degree angle, and the second one is just the first one but put on the page at a different angle
I don't understand how to find the negative. Some of these are wrong and just need help finding my errors
Answer:
-5pi/4
Step-by-step explanation:
The line has been partitioned into three angles. Is there a triangle with these three angle measures?
an alloy is made by mixing metals A and B in the ratio 3:5
metal a costs £42 per kg
metal b costs £20 per kg
how much would it cost to make 400g of the alloy?
Answer:
11.3
Step-by-step explanation:
First solve how many grams of each mineral you need.
To do this use this equation
[tex]\frac{3}{5} =\frac{x}{y} ; x+y=400[/tex]
Solve the system of equations to get
x=150, y=250
Since there are 1000 grams in 1 kg then the amount of kg of each material you need will be
[tex]x=\frac{150}{1000}; y=\frac{250}{1000}[/tex]
So you need to 0.15 of a kg of mineral a and 0.25 kg of mineral b.
Multiply 0.15 by 42 to get the amount of money needed to buy mineral a.
0.15*42=6.3
Multiply 0.25 by 20 get the amount of money needed to buy mineral b.
0.25*20= 5
Add them to get the final amount
6.3+5=11.3
If f(x) = 3x + 4, what is f^-1 (6)
Answer:
= 3x
Step-by-step explanation:
3x
Which system of linear equations has the ordered pair (15, – 25) as its solution?
x - 2y = 35 and 2x + y = 55
x-2y = -35 and 2x - y = 55
2x+y=5 and 2x + y = 55
2x+y=5 and 2x – y=55
Answer:
The solution to the system of equations be:
(x, y) = (15, -25)
Therefore, the fourth system of equations i.e. 2x+y=5 and 2x – y=55 has the ordered pair (15, – 25) as its solution.
Step-by-step explanation:
Let us solve and check the 4th system of equations
2x+y=5
2x – y=55
solving the system of equations
[tex]\begin{bmatrix}2x+y=5\\ 2x-y=55\end{bmatrix}[/tex]
subtracting
[tex]2x-y=55[/tex]
[tex]-[/tex]
[tex]\underline{2x+y=5}[/tex]
[tex]-2y=50[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}2x+y=5\\ -2y=50\end{bmatrix}[/tex]
solve -2y = 50
[tex]-2y=50[/tex]
Divide both sides by -2
[tex]\frac{-2y}{-2}=\frac{50}{-2}[/tex]
[tex]y=-25[/tex]
[tex]\mathrm{For\:}2x+y=5\mathrm{\:plug\:in\:}y=-25[/tex]
[tex]2x-25=5[/tex]
Add 25 to both sides
[tex]2x-25+25=5+25[/tex]
Simplify
[tex]2x=30[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{30}{2}[/tex]
simplify
[tex]x=15[/tex]
Thus, the solution to the system of equations be:
(x, y) = (15, -25)
Therefore, the fourth system of equations i.e. 2x+y=5 and 2x – y=55 has the ordered pair (15, – 25) as its solution.
increase 19060 by 9%
Answer:
0.05
Step-by-step explanation:
brainliest plz
a number increased by eighteen
Answer:
can you explain a little bit more
Step-by-step explanation:
what is the area of the shape
Answer:
A= 18
Step-by-step explanation:
To find the height, find the blocks inside the shape that is completely attached (they have to be in a straight vertical line). In this case, you can see that three vertical blocks in the middle of the shape is completely attached. That means your height is 3.
To find the width, look at the how many horizontal boxes make up the top. 6 block inside the shape corispond with 6 blocks on top of the shape, so the width is six.
Multiply 6 by 3 to get 18.
Need done quickly pls help
Which expression is equivalent to-g-7+3g-6
If I multiply a number L by another number M, I get 452,199. If I multiply L by the successor of M, I get 454,322. Find L x L.
plz tell the answer fast plz in is urgent :)
Step-by-step explanation:
L * M = 452,199
L * (M + 1) = 454,322
Therefore L * (M + 1) = L * M + L.
=> 454,322 = 452,199 + L, L = 2,123.
Hence L² = 2,123² = 4,507,129.
x/2+21=45
what is x in this equation?
Answer:
x = 48
Step-by-step explanation:
x/2+21=45
subtract 21 on both sides
x/2 + 21 - 21 = 45 - 21
x/2 = 24
Multiply by 2 on both sides
x/2 * 2 = 24 * 2
x = 48
Check
48/2 + 21 = 45
24 + 21 = 45
45 = 45 CORRECT
Hope this helped!
Name the property. 7+(11+10)=(7+11)+10
Answer:
associative
Step-by-step explanation:
u switched parentheses
-3x + 4y = 24
4x - y = 7
Answer:
y=7-4x/-1
y=-7+4x
substituting y=-7+4x
-3x+4(-7+4x)=24
-3x-28+16x=24
-3x+16x-28-24=0
13x-52=0
13x=52
x=52/13
x=4
substituting x=4
-3x+4y=24
-3(4)+4y=24
-12-24+4y=0
-36+4y
4y=36
y=36/4
y=9
Help plz plz I would appreciate it
Answer:
14
Step-by-step explanation:
As we can see BD is the median of the Triangle ABC
So it breaks into two equal parts
AD = 7
And CD = 7
So
AC = AD + CD
= 7 + 7
= 14
Hope it will help :)
hiii please help i’ll give brainliest if you give a correct answer ty!!
Answer:
7 is the answer
Step-by-step explanation:
They are based on 7th hrs.
Answer:
7
Step-by-step explanation:
If
4=28
Then let 1 be = x
so;
4=28
1=x
x=¼×28
x=7
This is because 28 can be divided by 4, 7 times.