Answer:
[tex]a_{n}[/tex] = 16 - 7n
Step-by-step explanation:
There is a common difference between consecutive terms , that is
2 - 9 = - 5 - 2 = - 12 - (- 5) = - 7
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 9 and d = - 7 , then
[tex]a_{n}[/tex] = 9 - 7(n - 1) = 9 - 7n + 7 = 16 - 7n
Simplify x + 6.2 + 8.5.
6.2x + 8.5
x + 14.7
14.7x
Answer:
x + 14.7
Step-by-step explanation:
x + 6.2 + 8.5.
Combine like terms
x + 14.7
Write down a decimal that is more than 7/11 and less than 7/9
will award brainiest!!
Answer:
0.7
Step-by-step explanation:
7/11 = 0.63636363
7/9 = 0.777777778
so a decimal between them will be, 7/10 = 0.7
Calculate the means of the data sets below:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE A NSWER!!
High School Graduates 310, 290, 330, 305, 295, 310, 330, 340, 400, 360
College Graduates 460, 500, 480, 475, 505, 510, 490, 390, 410, 440
A. High School Graduates: 320 College Graduates: 477.5
B. High School Graduates: 327 College Graduates: 477.5
C. High School Graduates: 333 College Graduates: 466
D. High School Graduates: 327 College Graduates: 466
Answer:
D
Step-by-step explanation:
Select the correct answer.
Which equation matches the function shown in the graph?
Answer:
D. y = cos(4x)
Step-by-step explanation:
The graph passes through the points y = 0 and x = 3π/8
So you solve x = 3π/8 into 4 answers, which is equal to 0 is the correct answer.
Plz help me I can’t do it
Answer:
x=40
Step-by-step explanation:
If the large angle is bisected, the two smaller angles are equal
x+30 = 3x-50
Subtract x from each side
x+30 -x = 3x-50-x
30 = 2x-50
Add 50 to each side
30+50 = 2x-50+50
80 =2x
Divide by 2
80/2 = 2x/2
40 =x
Answer:
x = 40
Step-by-step explanation:
since line KN bisects that angle, the two parts are equal to each other:
(x+30) = (3x-50)
x + 30 = 3x - 50
-2x = -80
x = 40
you can even check it to see if both angles are equal to each other by substituting 40 for x:
(40 + 30) = (3*40 - 50)
70 = 70
this checks out, so the answer is correct
What is the answer when you evaluate m + p - p2 ÷ 6; use m = 5 and p = 6 ?
Answer:
5
Step-by-step explanation:
m + p - p^2 ÷ 6
Let m = 5 and p=6
5 + 6 - 6^2 ÷ 6
Exponents first
5 + 6 - 36 ÷ 6
Then divide
5 + 6 - 6
Then add and subtract from left to right
11-6
5
Factor out the greatest common factor from 4x4 + 12x2 + 8x.
4(x4 + 3x2 + 2x)
2x(2x3 + 6x + 4)
4x(x3 + 3x + 2)
2(2x4 + 6x2 + 4x)
Answer:
4x( x^3 +3x+2)
Step-by-step explanation:
4x^4 + 12x^2 + 8x
Factor out 4x
4x( x^3 +3x+2)
find a number which is when added to it's square the sum will be 72.
Answer 8
8+8²=72
8+64=72
72=72
please click thanks and mark brainliest if you like :)
Type the correct answer in each box
The general form of the equation of a circle is x^2+y^2+8x+22y+37=0
The equation of this circle in standard form is (x+__)^2+(y+__)^2=__. The center of the circle is at the point (__,__).
Answer:
We know that the equation of the circle in standard form is equal to (x-h)² + (y-k)² = r² where (h,k) is the center of the circle and r is the radius of the circle.
We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :
1 - We first group terms with the same variable :
(x²+8x) + (y²+22y) + 37 = 0
2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)
(x²+8x) + (y²+22y) = - 37
3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process "completing the square".
x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²
y²+22y = (y²+22y+11²)-11² = (y+11)²-11²
4 - We plug the new values inside our equation :
(x+4)² - 4² + (y+22)² - 11² = -37
(x+4)² + (y+22)² = -37+4²+11²
(x+4)²+(y+22)² = 100
5 - We re-write in standard form :
(x-(-4)²)² + (y - (-22))² = 10²
And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)
H = 5 ft
Which is the formula
for the volume
of a cylinder?
A. V = a^2 + b^2 + c^2
B. V = (area of the base)(radius)
C. V = (area of the base)(height)
Answer: C. V = (area of the base)(height)
This applies to any prism. A cylinder is effectively a prism but the base is a circle rather than a polygon.
The cylindrical volume formula you may be more familiar with is
V = pi*r^2*h
note how the pi*r^2 portion is the area of the circular base. So we can replace the pi*r^2 with "area of the base" to end up with choice C.
Triangle CDE is similar to triangle FGH. Find the measure of side HF. Round your answer to the nearest tenth if necessary.
Answer:
HF = 11.0
Step-by-step explanation:
We can use a ratio to solve
ED EC
----- = ----------
HG HF
23 36
----- = ----------
7 HF
Using cross products
23 HF = 36*7
23 HF = 252
Divide by 23
HF = 252/23
HF =10.95652
To the nearest tenth
HF = 11.0
How many lbs. of mixed nuts that contain
37% peanuts must Ashley add to 17 lbs. of
peanuts to make a mixture with 88%
peanuts?
-Answer:
4 lbs of 37% mixed nuts
Step-by-step explanation:
[tex]\frac{\left(17+.37x\right)}{17+x}\:=\:.88[/tex]
x = 4
Number of subsets of B={p,q,r}
Answer:
Step-by-step explanation:
B = {p , q , r}
Number of subsets = [tex]2^{n}[/tex]
Her, n is the number of elements in the set.
Number of subsets = 2³ = 8
Answer:
Sorry I don't know the answer
On a baseball field, the pitcher's mound is 60.5 feet from home plate. During practice, a batter hits a ball 214 feet at an
angle of 36° to the right of the pitcher's mound. An outfielder catches the ball and throws it to the pitcher. Approximately
how far does the outfielder throw the ball?
9514 1404 393
Answer:
169 ft
Step-by-step explanation:
The law of cosines can be used to find the distance from the outfielder to the pitcher. It tells you for triangle ABC, the length of side c can be found from ...
c² = a² +b² -2ab·cos(C)
Here, we hve a=60.5, b=214, and C=36°. Then the desired distance is ...
c = √(60.5² +214² -2·60.5·214·cos(36°)) ≈ √28507.56 ≈ 168.84
The outfielder throws the ball about 169 feet.
If the curved surface area of a cylinder with height 15cm is 1320cm², find total surface area
Answer:
2552cm^2
Step-by-step explanation:
C.S.A=1320cm^2 ;r=?
h=15cm.
[C.S.A. = 2πrh]
(r=1320×7/660=14cm)
Now,
TSA of cylinder = 2πr (h + r) sq
TSA=2×22/7(15+14)=2552cm^2
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
A. positive skewed.
Step-by-step explanation:
because the values on left hand side are a bit greater than values on the right hand side.
[tex]{ \underline{ \blue{ \sf{christ \:† \: alone }}}}[/tex]
a: a line passes through the point (2,8) and is parallel to y=3x+10 write the equation of the line in y=mx+b form
b: a line passes through the point (-2,-5) and is perpendicular to the line -2x+y=9 write the equation of the line in y=mx+b form
We can write -
the equation of line that passes through the point (2,8) and is parallel to y=3x+10 is y = 3x + 2.the equation of line that passes through the point (-2,-5) and is perpendicular to the line -2x+y=9 is y = -x/2 + -3What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
where -
{m} is the slope of the line.
{c} is the {y} - intercept.
Given is that -
A line passes through the point (2,8) and is parallel to y=3x+10.A line passes through the point (-2,-5) and is perpendicular to the line -2x+y=9.{ 1 } -
We can write the slope of the line as -
m = 3
The equation will be -
y = 3x + c
For the point (2, 8), we can write -
8 = 6 + c
c = 2
So, the equation of line that passes through the point (2,8) and is parallel to y=3x+10 is -
y = 3x + 2
{ 2 } -
We can write the slope of the line as -
m = -1/2
The equation will be -
y = -x/2 + c
For the point (- 2, - 5), we can write -
-5 = -2 + c
c = - 3
So, the equation of line that passes through the point (-2,-5) and is perpendicular to the line -2x+y=9 is -
y = -x/2 + -3
Therefore, we can write -
the equation of line that passes through the point (2,8) and is parallel to y=3x+10 is y = 3x + 2.the equation of line that passes through the point (-2,-5) and is perpendicular to the line -2x+y=9 is y = -x/2 + -3To solve more questions on straight line, visit the link-
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#SPJ7
1÷a+1-a÷a^2-1+a^2÷a^4-1+a^4÷a^8-1
Answer:
Please see the image below, I have typed all the steps required for the final solution. If you don't understand any part of the following steps, feel free to comment below and I will help out :)
A bucket contains 4 red balls and 5 orange balls. Two balls are pulled from the bucket, one after another, without replacement. Build a tree diagram showing the different possible outcomes for the two marbles being drawn. Be sure each branch is labeled with its individual probability and include the probability at the end of each branch.
Answer:
See the diagram below:
Red 3/8 -----------------> Red-Red = 4/9*3/8 = 1/6
Red 4/9 <
Orange 5/8 --------------> Red-Orange = 4/9*5/8 = 5/18
Red 4/8 --------------------> Orange-Red = 5/9*4/8 = 5/18
Orange 5/9 <
Orange 4/8 ----------------> Orange-Orange = 5/9*4/8 = 5/18
Tristan wants to build a square garden in his backyard that will cover an area of 75 ft.² a person has 32 feet of material for the parent perimeter of the garden does he have enough explaine
Answer:
your try this is not the named above the new one in my case I can you tell the truth be the first and foremost is not in any form is
Step-by-step explanation:
ydu is not working in the past two days in my head of my head to be in town on your phone is to
Material of 32 feet with the person is not sufficient to cover the square garden.
Tristan wants to build a square garden having area = 75 square feet
Since, Area of a square is given by the expression,
Area = (Side)²
By substituting the value of area in the expression,
75 = (Side)²
√75 = √(Side)²
5√3 = Side
Side = 8.66 feet
Since, perimeter of a square is given by the expression,
Perimeter of a square = 4(side)
Therefore, Perimeter of the square garden = 4(8.66)
= 34.64 feet
A person has a material of length = 32 feet
If the length of the material is enough to cover the square field,
Length of the material ≥ Perimeter of the garden
32 feet ≥ 34.64 feet
Which is false.
Therefore, material is not of enough length to cover the square garden.
Learn more,
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Sam spent 5 of an hour at the dentist's office. He spent to of the time in the waiting room. How much time did he
spend at the dentist's office other than in the waiting room?
0 1 / 2
of an hour
25 of an hour
of an hour
o of an hour
Answer:
We know he spent 5 sixths which is 50 minutes
Ten percent of 50 is 5
This means he spent 3 quarters of an hour in the office
Answer:
Sam spent 50 minutes at the office, and 1/10 (or 5 minutes) in the waiting room.
So, he spent 3/4 of an hour at the office but not in the waiting room.
Let me know if this helps!
Please helpppp!!!!!!!
Identify the number that does not belong with the other three. Explain your reasoning. 26.6 /48
-51/2 -55.1
Answer:
[tex]\sqrt{48}[/tex]
all the other are RATIONAL ( can be expressed as a fraction)
Step-by-step explanation:
While other numbers in the option given are rational, only √48 is an irrational number
Rational number refers to all real numbers which can be expressed in the form x/y. Given that y ≠ 0.
Evaluating the values given :
26.6 is a rational number ; 266/10-51/2 is also a rational number -55.1 is also a rational number ; - 551 / 10√48 is an irrational number as it cannot be expressed in the form x/y.Therefore, the only √48 does not belong to the group.
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Divide. Write your answer as a fraction in simplest form.
−7/10÷ 2/5= help
Answer:
- [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
Given
- [tex]\frac{7}{10}[/tex] ÷ [tex]\frac{2}{5}[/tex]
Leave the first fraction
Change division to multiplication
Turn the second fraction upside down
= - [tex]\frac{7}{10}[/tex] × [tex]\frac{5}{2}[/tex] ← cancel 5 and 10 by 5
= - [tex]\frac{7}{2}[/tex] × [tex]\frac{1}{2}[/tex]
= - [tex]\frac{7(1)}{2(2)}[/tex]
= - [tex]\frac{7}{4}[/tex]
What is the sign of e + d when e > 0 and d 0?
Choose 1 answer:
Positive
Negative
Zero

9514 1404 393
Answer:
(B) Negative
Step-by-step explanation:
You can try an example:
c = 1, d = -1
c/d = 1/-1 = -1 . . . . negative
_____
Additional comment
The sign of the result of multiplication and/or division of any number of factors will be negative if there are an odd number of minus signs involved. It will be positive if there are an even number of minus signs involved.
find the product
(2x+y) (3x-7)
Answer:
[tex]6x^{2} -14x+3xy-7y[/tex]
Step-by-step explanation:
I used the FOIL method, hope this helps
George and his friend Jane buy copies of the same book on the internet. George pays $16.95 and jane pays £11.99 on a day when the exchange rate is $1 = £ 0.626.
calculate, in dollars, how much more Jane pays.
Answer:
$19.15
Step-by-step explanation:
$1=0.626
$1/0.626=£1
$11.99=$11.99/0.626
=$19.15
Answer:
Step-by-step explanation:
£ 0.626 =$ 1
£1 = $ [tex]\frac{1}{0.625}[/tex]
£ 11.99 = [tex]11.99*\frac{1}{0.625}= \frac{11.99*1000}{0.625*1000}\\\\[/tex]
[tex]= \frac{11990}{626}\\\\[/tex]
= $ 19.15
19.15 - 16.95 = $2.2
Jane pays $2.20 more dollars that George
Given that B is the midpoint of segment AC. BC = 14x -26 and AB = 6x +6,
find the value of x.*
10. What is the correct trigonometry ratio to solve for x?
х
52°
20
Step-by-step explanation:
tan y = opposite/adjacent
so, tan 52° = 20/x
Answer:
tan(52) = 20/x
Step-by-step explanation:
tan(x) = opposite leg / adjacent leg
tan(52) = 20/x
Find the missing probability of 3
What is the slope of the line through (3,2) and (-3,4)
Answer:
-1/3
Step-by-step explanation:
slope = m = rise/run = (difference in y)/(difference in x)
m = (4 - 2/(-3 - 3)
m = 2/(-6)
m = -1/3
