Answer:
1.7y
2.-14s
3.-2f
4.23d
5.19r
6.-2s
7.-9q
8.24h
9.10q
10.23d
Step-by-step explanation:
I TRY MY BEST TO SOLVE IT
HOPE IT HELPS
CORRECT ME IF I AM WRONG
1. 7y
2. 28 + 14s
3. -2f - 4
4. 16 + 8d
5. 10 + 9r
6. -18+ 16s
7. -8q
8. 6h - 18
9. 12q - 2
10. 10d -27
Write the explicit formula for the sequence below and use it to find the 16th term:
6, -24, 96, -384, . . .
Given:
The sequence is:
[tex]6, -24, 96, -384,...[/tex]
To find:
The explicit formula for the given sequence and then find the 16th term.
Solution:
We have,
[tex]6, -24, 96, -384,...[/tex]
The ratio between two consecutive terms are:
[tex]\dfrac{-24}{6}=-4[/tex]
[tex]\dfrac{96}{-24}=-4[/tex]
[tex]\dfrac{-384}{96}=-4[/tex]
The given sequence has a common ratio. So, the given sequence is a geometric sequence with first term 6 and common ratio [tex]-4[/tex].
The explicit formula of a geometric sequence is:
[tex]a_n=ar^{n-1}[/tex]
Where, a is the first term and r is the common ratio.
Putting [tex]a=6, r=-4[/tex] in the above formula, we get
[tex]a_n=6(-4)^{n-1}[/tex]
We need to find the 16th term. So, put [tex]n=16[/tex] in the above formula.
[tex]a_n=6(-4)^{16-1}[/tex]
[tex]a_n=6(-4)^{15}[/tex]
[tex]a_n=6(-1073741824)[/tex]
[tex]a_n=-6442450944[/tex]
Therefore, the explicit formula for the given sequence is [tex]a_n=6(-4)^{n-1}[/tex] and 16th term of the given sequence is [tex]-6.442450944[/tex].
find out the area and perimeter of circle of radius 7cm
Answer:
[tex]area = \frac{\pi}{4} \times {r}^{2} \\ = \frac{\pi}{4} \times {7}^{2} \\ = \frac{\pi}{4} \times 49 \\ = 38.48451000647 \: cm \: ans......[/tex]
Answer:
Step-by-step explanation:
area of circle=πr^2
=3.14*(7)^2
=3.14*49
=153.86 cm^2
perimeter of a circle(circumference)=2πr
=2*3.14*7
=14*3.14
=43.96 cm
-5 times -8 is equal to
[tex] - 5 \times - 8 = [/tex]
the image of O(3,2)in half turn about origin gives....?
Answer:
O' (- 3, - 2 )
Step-by-step explanation:
Under a half turn about the origin
a point (x, y ) → (- x, - y ) , then
O (3, 2 ) → O' (- 3, - 2 )
Find the value of x in The parallelogram.
Answer:
122 degrees
Step-by-step explanation:
A parallelogram has 360 degrees in total
360 - (58 + 58) = 244
244/2 = 122
I hope this helped you!
Answer:
x = 122
Step-by-step explanation:
Consecutive angles in a parallelogram are supplementary, sum to 180° , so
x + 58 = 180 ( subtract 58 from both sides )
x = 122
Which shows a quadratic function?
Answer:
OPTION B IS YOUR ANSWER.
You know its a quadratic when the second difference of each y value is same.
Here's what I mean.
Option B
First all x values differ by 1. So we're good on those.
Now for the y values
Which are
3, -1, -3, -3, -1
find the difference between the second and first fod each... Then do this a second time.
If it gives the same value for all the second differences... Then its quadratic.
-1-3 = -4
-3-(-1) = -3 + 1 = -2
-3-(-3) = -3 + 3 = 0
-1-(-3) = -1 + 3 = 2.
The values are -4, -2, 0, 2.
Now find the difference of these(2nd - 1st)
-2-(-4) = -2 + 4 = 2
0-(-2)= 0 + 2 = 2
2 - 0 = 2
Since all second differences gave 2 as their answer....
Option B is your Quadratic Function!!!
Hope this helps!
pls explain the answer
Answer:
even
Step-by-step explanation:
itz even cos it is divisible by 2
Answer:
6 is even number.
Step-by-step explanation:
An even number is a number that can be divided into two equal groups.
An odd number is a number that cannot be divided into two equal groups.
for example, if 6 divided into 2 groups then 3 in one group and 3 in another group, therefore there are equal groups.
if 7 divided into 2 groups then 3 in one group and 4 in another group, which is not equal.
A family tree business removes overgrown trees for 3 months in the summer. In June, they removed 1/3 the number of trees as they did in July. In August, they removed twice the number of trees as they did in July. They removed less than 1000 trees in the three months. What is the maximum number of trees they removed in July?
Answer: 299
Step-by-step explanation:
Given
Family removes one-third of tress in June as much as they dd in July
They remove twice the number of July in august
Suppose they removed x trees in July
for June it is, [tex]\frac{x}{3}[/tex]
for August, it is [tex]2x[/tex]
If they removed less than 1000 tress in 3 months
[tex]\Rightarrow \dfrac{x}{3}+x+2x<1000\\\\\Rightarrow \dfrac{x+3x+6x}{3}<1000\\\\\Rightarrow \dfrac{10x}{3}<1000\\\\\Rightarrow \dfrac{x}{3}<100\\\\\Rightarrow x<300[/tex]
So, maximum number of tress removed in July is 299
Answer all the of the question plsss, and I might give you more points after. I need this plssssssss ty lol. Show all work too.
Answer:
(3, 6)
Step-by-step explanation:
[tex]y=4x-6[/tex]
[tex]6=4(3)-6[/tex]
[tex]6=12-6[/tex]
[tex]6=6[/tex]
[tex]3y=-2x+24[/tex]
[tex]3(6)=-2(3)+24[/tex]
[tex]18=-6+24[/tex]
[tex]18=18[/tex]
x = 3, y = 6
By substitution method,
[tex]y = 4x - 6[/tex]
[tex]3y = - 2x + 24[/tex]
[tex] \frac{3y - 24}{ - 2} = x[/tex]
[tex]y = 4( \frac{3y - 24}{ - 2} ) - 6[/tex]
[tex]y = \frac{12y}{ - 2} + \frac{ - 96}{ - 2} - 6[/tex]
[tex]y = \frac{12y}{ - 2} + 48 - 6[/tex]
[tex]y = \frac{12y}{ - 2} + 42[/tex]
[tex]y - 42 = \frac{12y}{ - 2} [/tex]
[tex] - 42 = \frac{12y}{ - 2} - y[/tex]
[tex] - 42 = \frac{12y}{ - 2} - \frac{ - 2y}{ - 2?} [/tex]
[tex] - 42 = \frac{12y + 2y}{ - 2} [/tex]
[tex] - 42 = \frac{14y}{ - 2} [/tex]
[tex] - 42 \times - 2 = 14y[/tex]
[tex]84 = 14y[/tex]
[tex] \frac{84}{14} = y[/tex]
[tex]6 = y[/tex]
[tex]\frac{3(6) - 24}{ - 2} = x[/tex]
[tex] \frac{18 - 24}{ - 2} = x[/tex]
[tex] \frac{ - 6}{ - 2} = x[/tex]
[tex]3 = x[/tex]
Therefore,
The solution is (3, 6).
Helaine graphed the equation 12x−4y=3. What was the slope of Helaine’s line?
−12
−4
3
12
Answer:
3
X is slope but the equation isnt set up proper
12x-4y=3
-12x -12x
-4y=-12x+3
/-4 /-4
y= 3x+3/-4
Answer:
3
Step-by-step explanation:
6 ft. 12 ft. 8 ft. The area of this irregular figure is sq. ft. 16 ft
Answer:
Step-by-step explanation:
I believe it is 26?
Find m∠ABC.
132°
48°
19°
21°
Answer:
Step-by-step explanation:
48
You have a $9000 bond that earns 3% interest compounded quarterly. How much is the bond word at 6 years?
Answer:
$10,667.66
Step-by-step explanation:
The formula for calculating the compound interest is expressed as:
A = P(1+r/n)^nt
P is the principal = $9000
r is the rate = 3%
time t = 6years
n = 1/4
Substitute
A = 9000(1+0.03/(1/4))^6/4
A = 9000(1+0.03(4))^1.5
A = 9000(1+0.12)^1.5
A = 9000(1.12)^1.5
A = 9000(1.1853)
A = 10,667.67
Hence the amount after 6 years is $10,667.66
a) If a + 5 = 15, then find the value of a
Answer:
The answer is 10
Step-by-step explanation:
a + 5 =15
15-5=10
Answer:
Step-by-step explanation:
a+5=15
a=15-5
a=10
A cardboard carrying box has the dimensions shown below. How many square inches of cardboard are needed to make the box?
Answer:
Step-by-step explanation:
D- 344
7. A clothing trunk is 30 inches tall, 48 inches wide,
and 24 inches deep. How many cubic feet will the
Hrunk hold?
Answer:
34,560 in^3
Step-by-step explanation:
A clothing trunk is 30 inches tall, 48 inches wide, 24 inches deep
The amount is cubic feet the trunk will hold can be calculated as follows
= 30×48×25
= 34,560 in^3
What scale factor, as a percent, was applied to create the copy?
A. 50%
B. 75%
C. 125%
D. 150%
An ordered pair is translated 2 units left and 6 units up. Describe the translation using translation notation.
Answer:
y = (x+2) + 6
Step-by-step explanation:
How long will it take Seb to run 4000 m at an average speed of 5 m/s?
Give your answer in minutes and seconds.
Answer:
800 seconds or 13 minutes 20 seconds
Step-by-step explanation:
.......
which are like terms
will give brainest if correct
Answer:
3ad³
Step-by-step explanation:
Like terms have same variables with same powers.
12ad³ and 3ad³ has same variables a and d³
4.3 Given a circle with radius 4 cm, calculate (Use n = 3,14)
The circumference, rounding off to two decimal places.
Answer:
25
as
2nr
=2×3.14×4
=25.12
=25
2,6, 18, 54,162
The common ratio ""is3
Is this right?
Answer:
yes it is
Step-by-step explanation:
Helppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
4.4
Step-by-step explanation:
that is the procedure above
Please give real answers with an explaination. 50 points + I will follow + I will give brainliest + 5-star rated. No Docs/No Files/No Links only answer with explaination.
Answer:
B
Step-by-step explanation:
Look at the figures below.
Figure A.
The median of a quadrilateral was drawn as the red segment. It split the interior angle of the quadrilateral into angles 1 and 2. Angles 1 and 2 are clearly not congruent. Statement A is false.
Figure B.
The red segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length. Statement B is true.
Figure C.
The red midsegment cuts the triangle into two areas, crosshatched in blue and green. The areas are clearly not equal, so statement C is false.
Please help. I will give brainliest. thank you. math isn't my strong suit lol.
Answer:
b) 1
Step-by-step explanation:
First, bring the -3 to the right side.
x²+4x + 4
now use b²-4ac.
4²-4(1)(4)
16-16
0
If discriminant < 0 there are 2 imaginary solutions
if discriminant > 0 there are 2 real solutions
if discriminant = 0 there is 1 real solution
The discriminant here is 0 so it has one real solution
AABC has points located at A(1, 3) B(-2, 2) C(4, 0). AABC is rotated 180° CCW about the origin then translated (x + 0, y-5). Identify the location of A A”B”C"
Answer:
i think the new points are
A(1,-2)
B(-2,-3)
C(4,5)
Step-by-step explanation:
i plugged it in
13 1 point
Determine if the two triangles are congruent. If they are, state how you know.
A) Not enough information
C) SSS
B) SAS
D) AAS
the SAS is a special forces Unit let's goo
Has 1000 seats there are 424 adults and 339 children sitting in seats how many of the seats are a movie theater has 1000 seats there are 424 adults and 339 children sitting in seats how many of the seats are empty
Answer:
263
Step-by-step explanation:
424+339=764
1000-764=236
Can someone make me a histogram for this set of data. If you do I’ll mark u as the Brainliest
Answer:On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. ...
Draw a bar extending from the lower value of each interval to the lower value of the next interval.
Step-by-step explanation:
Answer:
Attached is a file of a sample histogram compiled by Social Science Statistics with the values in the question inputted.
Step-by-step explanation:
Histograms are bar graphs that represent a set of values. The vertical y-axis indicate how many values there are in a certain interval, and the horizontal x-axis indicates those intervals, usually in intervals of 10, but this depends on the range of your data.
A histogram with the following forty (40) values:
37, 22, 28, 25, 53, 29, 37, 41, 54, 29, 23, 30, 37, 41, 27, 26, 39, 24, 36, 48, 45, 31, 27, 40, 38, 41, 39, 37, 30, 44, 42, 46, 53, 43, 44, 43, 49, 51, 38, 32
Write an equation of a line that passes through (3, -1) and is perpendicular to y = 6x - 4. Show work.
I NEED THIS FAST LIKE PLEASEE HELP
Answer:
y = -1/6x - 1/2
Step-by-step explanation:
y = -1/6x + b
-1 = -1/6(3) + b
-1 = -1/2 + b
-1/2 = b