Answer:
First term of the sequence is [tex]11[/tex]
Step-by-step explanation:
Let [tex]a[/tex] be the first term and [tex]d[/tex] be the common difference
We have
The sum of the second term and the ninth term of an arithmetic sequence is [tex]-5[/tex]
[tex]a+(2-1)d+a+(9-1)d=-5\\\\2a+9d=-5---eqn1[/tex]
The sum of the third and fourth terms of the same sequence is [tex]7[/tex]
[tex]a+(3-1)d+a+(4-1)d=7\\\\2a+5d=7---eqn2[/tex]
eqn 1 - eq2
[tex]4d=-12\\\\d=-3[/tex]
Substituting in eqn 1
[tex]2a+9\times -3=-5\\\\2a=22\\\\a=11[/tex]
First term of the sequence is [tex]11[/tex]
How i can answer this question?, NO LINKS, if you answer correctly i'll give u brainliest!
6(4a-3b)
if you draw a factor tree that goes like:
24
1 24
2 12
... ... (and so on, you'll find 6 is the highest)
100 points!! ASAP do all problems with steps to your answer
Answer:
11. 10
12. -9v + 7
13. 1-10b
14. 5n+10
15. 12v
16. 0
17. 0
18. -4n+10
19. 9b - 9
20. 5v-8
Hope it help.
Answer: 13: 1-10b
14: 5n +10
15: 12v
16: nothing
17 0
18: 10 -4n
19: 11 + 5b
20: 5x + -8
Step-by-step explanation:
13: 6b + 4b = 10b
1-0=1
1-10b
14: n+4n = 5n
5n+10
15: 10v + 2v = 12v
16: 6v - 6v = 0
17: -2 +2 =0
18: 9 + 1 = 10
5n + n = 4n
10 - 4n
19: 10 + 1 = 11
7b-2b = 5b
11 + 5b
20: 1 -9 = -8
5x + -8
after the outbreak of a mysterious disease, the average wait time at a hospital by 70%. Before the outbreak, the average wait time at a hospital is m minutes
Answer:
1.7m
Step-by-step explanation:
Given that 'm' was the waiting time before the outbreak
After the outbreak, waiting time increased by 70%.
This implies that :
70% of m increase
m + 70% of m
m + 70/100 of m
m + ( 70÷100 ) × m
m + 0.7m
= 1.7m
Step-by-step explanation:
need help asap plz help me
Answer:
idek not gonna lie
Step-by-step explanation:
Answer:
The first one is A) 4 The second on is D) 65
Step-by-step explanation:
You divide the first number by the second number eg. 12 divided by 3=4. so 4.
You repeat the process for the second one, which is 32.5 divided by 5=6.5 so then you multiply that times 100 so 65.
larry needs to change a lightbulb in the ceiling Larry liens a 16 foot ladder against a wall with its base 5 feet away from the wall which is closest to the distance of the height of the wall to the top of the ladder
A 3 feet
B 11 feet
C 15 feet
D 17 feet
The solution is Option C.
The height of the wall to the top of the ladder is 15 feet
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be represented as ABC
Let the height of the wall be represented as h = AB
Now , Larry liens a 16 foot ladder against a wall
So , the hypotenuse of the triangle AC = 16 feet
And , the base is 5 feet away from the wall
So , the base of the triangle BC = 5 feet
The height of the wall h is given by the Pythagoras theorem ,
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substituting the values in the equation , we get
AC² = AB² + BC²
16² = AB² + 5²
On simplifying the equation , we get
Subtracting 5² on both sides of the equation , we get
AB² = 16² - 5²
AB² = 256 - 25
AB² = 231
Taking square root on both sides of the equation , we get
AB = 15.19
AB ≈ 15 feet
Therefore , the value of h is 15 feet
Hence , the height of the wall is 15 feet
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If (-2,11) and (9,22) are two
anchor points on the trend line,
then find the equation of the line.
y = [ ? ]x + [
Answer:
The equation of the line is- y = x + 13
Mrs. Rainer would like to buy 28
composition notebooks for her math class.
If they are on sale for $0.94 each, how
much will she spend, not including tax?
Answer:
$26.32
Step-by-step explanation:
0.94x28 = 26.32
(Meeting character limit)
what is 69+69-69+1-1+0
Answer:
207
Step-by-step explanation:
WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!
ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!
It costs $10 to rent a canoe and $5.50 to use the canoe for an hour. You have $21. Write an equation that represents the number h of hours you can rent the canoe.
Answer:
21 = 10 + 5.5h
Step-by-step explanation:
Total cost = initial cost + hourly cost
21 = 10 + hourly cost
hourly cost = 5.5 per hour, or 5.5 * h as we add 5.5 for each hour
21 = 10 + 5.5h
Answer:
Step-by-step explanation:
$10 + $5.50h ≤ $21
Let h stand for the hours the canoe is rented.
Fixed cost = $10, regardless of h.
$5.50h for the cost of n hours of rental.
Total cost = $10 + $5.50h
The total cannot exceed $21, legally.
So we should write:
$10 + $5.50h ≤ $21
If $10 + $5.50h ≥ $21 then ║║║║║║║
In a set of bivariate data, an additional point is added near the regression line but far away from the rest of the data. this
will the slope of the regression line and the correlation coefficient.
A slightly change, strengthen
B greatly change, weaken
C slightly change, weaken
D greatly change, strengthen
E not change, not change
Answer:
C. is the answerStep-by-step explanation:
CARRY ON LEARNINGAND REMEMBER DO ALWAYS READ AND WRITE
I don’t understand this. Can I plz get some help
There are 3 right triangles in this picture, and they are all mutually similar.
• the smallest triangle has legs 4 and y, and hypotenuse z
• the middle one has legs y and 16, and hypotenuse x
• the largest one has legs z and x, and hypotenuse 16 + 4 = 20
Note the order in which I've listed the sides (shortest to longest). Because these triangles are similar, the corresponding sides occur in a fixed ratio. In particular, we have
4/y = y/16 = z/x … (ratios of each side of the smallest and middle triangles)
4/z = y/x = z/20 … (ratios of the sides of the smallest and largest triangles)
y/z = 16/x = x/20 … (ratios of the sides of the middle and largest triangles)
We just want to find x, which we can do easily with the last equality,
16/x = x/20
Solve for x :
20 • 16/x = 20 • x/20
320/x = x
x • 320/x = x • x
320 = x²
⇒ x = √320 = √(64 • 5) = 8√5
In a car survey of 3,400 people who owned a certain type of car. 1,020 said they would buy that type of car again. What percent of people surveyed were satisfied with the car?
_______% of the people surveyed were satisfied with the car. (Type a whole number
Answer:
30%
Step-by-step explanation:
[tex]\frac{1020}{3400} =\frac{30}{100}[/tex]
Answer:
30%
Step-by-step explanation:
given
Total:3400
satisfied people:1020
we know that,
percent of satisfied:3400/1020x100%
=30%
57 % of 200 calculate this please
so percentage is always out of 100
so 57%is upon 100 then it is 200 upon 1 cuz it is a whole
57% of 20057 /100×200/1114 so the ans is 114 i hope u understood itHey there!
57% of 200
= 57% * 200
= 57/100 * 200/1
= 0.57 * 200
= 57(200)/100(1)
= 11,400/100
= 114
Therefore, your answer is: 114
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Congruence Criteria for a Parallelogram's two triangles is:
ASA
HL
AAS
SSS
Answer:
ASA
Step-by-step explanation:
two angles are the same and one side is the same
What are the coordinates of C if translated 5 units upward?
(6, 11)
hope this helps!
Pls help plss
Right answer = Brainliest
Wrong answer = Reported
Answer:
Step-by-step explanation:
1. 15/50 = 3/10
2. 8/24 = 1/3
3. 14/49 = 2/7
4. 6/63 = 2/21
5. 18/81 = 2/9
what is the value of x? what is the length of MN.
Pls ASAP
Answer:
x = 20, MN = 36Step-by-step explanation:
It is assumed the triangles in the picture are similar.
As per similarity, the ratio of corresponding sides is same.
Compare the ratios and find the value of x:
MN/JK = MP/JL(2x - 4)/12 = 15/5(x - 2)/6 = 3x - 2 = 18x = 20Find the length of MN:
MN = 2*20 - 4 = 40 - 4 = 36[tex]\\ \sf\longmapsto \dfrac{12}{5}=\dfrac{2x-4}{15}[/tex]
[tex]\\ \sf\longmapsto 15(12)=5(2x-4)[/tex]
[tex]\\ \sf\longmapsto 180=10x-20[/tex]
[tex]\\ \sf\longmapsto 10x=200[/tex]
[tex]\\ \sf\longmapsto x=20[/tex]
Please find the range of these numbers
Answer:7
Step-by-step explanation:range is highest number subtracted by lowest
Answer:
17
Step-by-step explanation:
The formula for range is max-min.
The max is 91 and the min is 74
91-74=17
Evaluate the expression for x = 5 and y = -1
xy - y =
Answer:
-4
Step-by-step explanation:
xy-y = ?
(5)(-1)-(-1) = ?
-5 + 1 = -4
Hope that helps
Please help! I highly appreciate it! :D
Here's some required measures !
1 ft = 12 inches 0.4 ft = 0.5 × 12 = 6 inchesLet's calculate its surface area ~
[tex] \sf2[(12 \times 10) + (11 \times 12) + (10 \times 11) ] - 2(7 \times 7) [/tex][tex] \sf2[120 + 132 + 110 ] - 2(49) [/tex][tex] \sf{2(362)} - 98[/tex][tex] \sf724 - 98[/tex][tex]6 \sf26 \: \: in {}^{2} [/tex]explain why the area of the large rectangle is 2a + 3a + 4a
Answer:
The area of the large rectangle = the sum of the areas of the three smaller rectangles
areas of the smaller rectangles are : 2a, 3a, and 4a respectively
Therefore the area of the lage rectangle = 2a + 3a + 4a
The sum of the area of all the rectangles will be 2a + 3a + 4a.
What is the area of the rectangle?Let W be the rectangle's width and L its length.
The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be
Area of the rectangle = L×W square units
The dimensions of the rectangle are 2 by a, 3 by a, and 4 by a.
The area first rectangle is given as,
⇒ 2 × a
⇒ 2a
The area second rectangle is given as,
⇒ 3 × a
⇒ 3a
The area third rectangle is given as,
⇒ 4 × a
⇒ 4a
The total area of the rectangle will be given as,
A = 2a + 3a + 4a
More about the area of the rectangle link is given below.
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Jill takes 2 hours to paint a room, Jim takes 3 hours to paint a room. How long (in minutes) will it take both of them to paint a room
Answer:
72 minutes
Step-by-step explanation:
The sum of the rates of work in rooms per hour is ...
Jill's rate + Jim's rate
= (1/2 room/hour) +(1/3 room/hour) = (3/6 +2/6 room/hour) = 5/6 room/hour
__
Then the combined rate in hours per room is ...
1/(5/6 room/hour) = 6/5 hours/room = (6/5 hours/room)(60 minutes/hour)
= 72 minutes per room
Jill and Jim can paint the room in 72 minutes when they work together.
point:(-5,1); slope: -
4
write in point-slope form:
Answer:
y-1=-4(x+5)
Step-by-step explanation:
y-y1=m(x-x1)
y-1=-4(x-(-5))
y-1=-4(x+5)
Answer: y - 1 = -4(x + 5)
Step-by-step explanation:
The point-slope formula is y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]) where m is the slope and ( [tex]x_1[/tex], [tex]y_1[/tex]) is a point on the graph.
Using the formula, we will plug in our known values to write our equation.
y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex])
y - (1) = (-4)(x - (-5))
y - 1 = -4(x + 5)
However, in the picture the slope is [tex]\frac{1}{4}[/tex], so we would write it as;
y - 1 = [tex]\frac{1}{4}[/tex](x + 5)
Question 30 of 56
Is this relation a function? Justify your answer
Answer: No, this relation is not a function.
Step-by-step explanation:
Two of the points with the same Y axis have different X values (as stated in answer A)
−3.6−1.9t+1.2+5.1t ////////////////////////////////////////////////////////////
Answer:
3.2t -2.4
Step-by-step explanation:
Combine like terms then solve (-1.9t +5.1t)+(-3.6+1.2)
f(x) = 3/4 * x - 7 . Find x if f(x) = - 1 . PLEASE tell how to solve it bc that what i dont know, i dont want just the answer
Answer:
[tex]x=-8[/tex] if [tex]f(x)=-1[/tex]
Step-by-step explanation:
Given --> [tex]f(x)=-\frac{3}{4}x-7[/tex]
Substitute [tex]f(x)=-1[/tex] into the equation and solve for [tex]x[/tex]:
[tex]-1=-\frac{3}{4}x-7[/tex]
[tex]6=-\frac{3}{4}x[/tex]
[tex]24=-3x[/tex]
[tex]-8=x[/tex]
So, when [tex]f(x)=-1,x=-8[/tex]
pls quick plsssssssss
Answer:
[tex]{ \rm{perimeter = side + side + side}} \\ \\ { \rm{perimeter = 3 \frac{1}{2} + 4 \frac{2}{3} + 5 \frac{1}{4} }} \\ \\ { \rm{perimeter = 13 \frac{5}{12} \: cm}}[/tex]
Calculate the average speed of an airplane, in miles per hour, if it travels 1,000 miles in 2
2 1 2
hours.
The average speed of the airplane which travels the given distance and time is 400mph.
SpeedSpeed is simply defined as distance traveled per unit of time. It is the change of position of a moving object per unit of time.
It is expressed as;
s = distance / time = d / t
Given the data in the question;
Distance travelled d = 1000miTime taken t = 2 and 1/2 hrs = 2.5hrsAverage speed; s = ?To determine the average speed of the airplane, we substitute our given values into the expression above.
s = d / t
s = 1000mi / 2.5hrs
s = 400mph
Therefore, the average speed of the airplane which travels the given distance and time is 400mph.
Learn more about Speed and Velocity here: https://brainly.com/question/10566304
What is the missing number in the table? x 1 2 3 4 5 y 6 36 216 ??? 7,776 252 396 864 1,296.
The missing number in the table is 1296
The y-values of the table form a geometric sequence as shown:
6, 36, 216,......
The nth term of a geometric progression is expressed using the formula;
[tex]T_n=ar^{n-1}[/tex]
a is the first term = 6r is the common ratio = 36/6 = 216/36 = 6n is the number of terms = 4 (since we need the 4th term)Substitute the given parameters into the formula:
[tex]T_5=6(6)^{4-1}\\T_5=6(6)^3\\T_5=1296[/tex]
Hence the missing number in the table is 1296
Learn more on geometric sequence here; https://brainly.com/question/1509142
Answer:
1296
Step-by-step explanation: