Answer:
-26
Step-by-step explanation:
Given the sequence:
16, 9, 2, –5, ...,
To find:
7th measurement, if the above sequence continues:
Solution:
Let us examine the given sequence first:
First term is 16
Second term = 9
Third term = 2
Fourth term = -5
Difference between 2nd and 1st term = 9 - 16 = -7
Difference between 3rd and 2nd term = 2 - 9 = -7
Difference between 4th and 3rd term = -5 - 2 = -7
We can see that there is a common difference of -7 between each term.
That means, the sequence is in Arithmetic Progression.
whose first term, [tex]a=16[/tex]
Common difference, [tex]d=-7[/tex]
To find:
7th term i.e. [tex]a_7=?[/tex]
Solution:
Formula for [tex]nth[/tex] term of an Arithmetic Progression is given as:
[tex]a_n=a+(n-1)d[/tex]
Let us put [tex]n=7[/tex]
[tex]a_7=16+(7-1)\times (-7)\\\Rightarrow a_7=16+6\times (-7)\\\Rightarrow a_7=16-42\\\Rightarrow \bold{a_7=-26}[/tex]
7th measurement will be -26.
Answer:
7th measurement= -26
Step-by-step explanation:
The sequence is 16, 9, 2, –5, ...,
First term( a)= 16
Second term=9
Common difference (d) = 9-16
Common difference= -7
The sequence is a arithmetic progression
For AP's ,the terms formula is
Term(n) = a + (n-1)d
Where n represent the term to be found
In this case,we Are looking for the 7th term , so n= 7
Term(7) = 16+ (7-1)-7
Term(7)= 16 +6(-7).
Term (7) = 16-42
Term(7) = -26
7th term =-26
Help please!!!!!!!!!!
Answer:
irrational
Step-by-step explanation:
7. Jim is training for a race. Jim ran 9.8 miles away from his home. Then, Jim ran 7.2 miles towards his home. Finally, Jim ran 4.6 miles away from his home. How far is Jim from his home? *
Answer:
stop cheating
Step-by-step explanation:
no
. If cosec x = √10, cos x =
Step-by-step explanation:
Hey, there!!
Answer: See in pictures.
I hope you are searching this.....
IF DE = 3x+8, EF = 4x+6, and DF = 28, find the value of x. [In your solution,
put x = YOUR ANSWER
Answer:
x = 2
Step-by-step explanation:
Since, points D, E and F are collinear.
Therefore,
DF = DE + EF
28 = 3x + 8 + 4x + 6
28 = 7x + 14
28- 14 = 7x
14 = 7x
[tex] \frac{14}{7} = x \\ 2 = x \\ \huge \red { \boxed{x = 2}}[/tex]
3(x+2)=-5(x-3) what is the answer
Answer:
x = 9/8
Step-by-step explanation:
Step 1: Write out equation
3(x + 2) = -5(x - 3)
Step 2: Distribute
3x + 6 = -5x + 15
Step 3: Add 5x on both sides
8x + 6 = 15
Step 4: Subtract 6 on both sides
8x = 9
Step 5: Divide both sides by 8
x = 9/8
Answer: 9/8
Step-by-step explanation:
Use distributive property to solve
Use only the commutative property of addition to complete the statement. 2x+15= please help asap
=======================================
The commutative property of addition is where we can add two numbers in any order we want. Example: 2+3 = 5 and 3+2 = 5.
In general, the rule is x+y = y+x.
In our case, 2x and 15 can be added in any order. So that's why 2x+15 is the same as 15+2x.
-------
Side note: a similar rule applies for multiplication as well. This is called the commutative property of multiplication. Example: 9*3 = 27 and 3*9 = 27. So we can say x*y = y*x.
What fraction is bigger 27/75 or 18/55
Answer:
[tex]\frac{18}{55}[/tex]
Step-by-step explanation:
Which fraction is bigger? [tex]\frac{27}{75}[/tex] or [tex]\frac{18}{55}[/tex]
If you look closely the fraction [tex]\frac{27}{75}[/tex] , it looks big but it actually isn't.
The fraction that is bigger is [tex]\frac{18}{55}[/tex] . This is because 75 is a big number and its only 27 out of the 75. In [tex]\frac{18}{55}[/tex] , it's not as big as 75. So compare 18 and 27 and 75 and 55. 75 is 20 more than 55. The number 27 is only 9 bigger than 18.
That's why your answer is
[tex]\frac{18}{55}[/tex]
Hope this helps!
Hi please help me solve this the topic is on circle geometry, whoever answers will be marked as the brainiest.
=====================================================
Explanation:
Line PR is tangent to the circle at point T. Angle PTO is 90 degrees because of this.
Angle TON is 124 degrees. Triangle TON is isosceles (since we have two sides of the triangle TO and ON equal to the radius). Therefore angles OTN and ONT are equal base angles. Call these x for now
-------
Since 3 angles of any triangle always add to 180, we can say...
x+x+124 = 180
2x+124 = 180
2x = 180-124
2x = 56
x = 28
Therefore,
angle PTN = (angle PTO) + (angle OTN)
angle PTN = 90 + 28
angle PTN = 118
Answer:
d is the answer
HELPP!!!1 Two angles are complementary. One angle is 47 degrees. What is the measure of the other angle?
Answer:
43°
Step-by-step explanation:
Complementary angles add up to 90° in measurement.
One angle is 47 degrees.
[tex]90-47=\boxed{43}[/tex]
The measurement of the other angle would be 43°.
Hope this helps.
The measure of other angle is 43 degree.
What is complementary angles?Complementary angles are those whose combined angle is 90 degrees or less. To put it another way, two angles are said to be complimentary if they combine to make a right angle. In this case, we say that the two angles work well together.
Given that.
Two angles are complementary.
Now consider one angle = x degree
And other angle = y degree
Then according to question,
Measure of angle x = 47 degree
We know that,
The sum of complementary angles are equal to 90 degree.
Therefore,
x + y = 90
x + 47 = 90
x = 90 - 47
x = 43
Hence, the other angle is = 43 degree.
To learn more about complementary angle visit:
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are 12/32 and 24/60 equivalent
Answer:Yes, 12/32 and 24/60 are equivalent.
Step-by-step explanation:
if rs=2x-1 and st=4x+7 then x=
rt=60
Answer:
9
Step-by-step explanation:
GivenRS = 2x - 1ST = 4x + 7RT = 60x= ?SolutionSince S is the point on the line segment RT,
RT = RS + ST, and
60 = 2x - 1 + 4x + 760 = 6x + 610 = x + 1x = 10 - 1x = 9Sarah's mom gave her $60 to spend at the mall,
She found a sale on pants and bought three pairs
for the same price. When Sarah got home she gave
her mom $12 in change. How much was each pair
of pants? Write an equation and solve for the
situation
Answer:
16
Step-by-step explanation:
since sarah spent 60 and there was only $12 left you must
1: subtract 12 from 60 which is 48
2. divide 48 by 3 because she bought 3 pairs of jeans which is 16
Answer:
Equation:
60 - 2p = 12
Each pair of pants:
$24
Step-by-step explanation:
Equation:
60 - 2p = 12
Solve:
-2p = 12 - 60
-2p = -48
p = -48/-2
p = 24
Ceck:
60 - 2*24 = 12
60 - 48 = 12
Find the square root by prime factorisation method 6860.
14√35
Step-by-step explanation:√6860 =
= √686×10
= √686×2×5
= √343×2×2×5
= √49×7×2²×5
= √7²×7×2²×5
= 7×2√7×5
= 14√35
[tex]\sqrt{6860}=\sqrt{10*686}=\sqrt{10*343*2}=\sqrt{5*2*343*2}=\sqrt{5*2*7*49*2}=\sqrt{5*2*7*7*7*2}=\sqrt{2*2*7*7*5*7} =2*7\sqrt{5*7} =14\sqrt{35}[/tex]
conversions LT6
You've won a new prize! Go to your game board, X
An 8-pint carton of ice cream costs $27.36. What is the price per quart?
An AP consists of 55 terms of which 5th term is 14 and last term is 144. Find the 29th term
Answer:
29th term = 76.4
Step-by-step explanation:
Total terms = 55
aₙ = a + (n - 1) d
5th term = a₅ = 14
a + (5 - 1)*d = 14
a + 4d = 14 --------------------(I)
last term = a₅₅ = 144
a + (55 - 1)d = 144
a + 54d = 144----------------(II)
Multiply equation (II) by (-1)
(I) a + 4d = 14
(II)*(-1) -a - 54d = -144 {Now add and thus a will be eliminated}
-50d = -130
d = -130/-50
d = 2.6
Plug in d = 2.6 in equation (I)
a + 4* 2.6 = 14
a + 10.4 = 14
a = 14 - 10.4
a = 3.6
29th term = a₂₉ = 3.6 + (29 - 1)* 2.6
= 3.6 + 28* 2.6
= 3.6 + 72.8
a₂₉ = 76.4
Answer:
76.4
Step-by-step explanation:
Let the first term and common difference of the AP be a and D respectively.
[tex]t_5 = 14 \implies \: a + 4d = 14....(1) \\ t_{55} = 144 \implies \: a + 54d = 144....(2) \\ subtract \: eqution \: (1) \: from \: equatin \: (2) \\ \\ a + 54d - (a + 4d) = 144 - 14 \\ a + 54d - a - 4d = 130 \\ 50d = 130 \\ d = \frac{130}{50} \\ \huge \red{ \boxed{ d = 2.6}} \\ substituting \: d = 2.6 \: in \: equation \: (1) \\ \\ a + 4 \times 2.6 = 14 \\ a + 10.4 = 14 \\ a = 14 - 10.4 \\ \huge \purple{ \boxed{ a = 3.6}} \\ \\ t_{29} = a + 28d \\ t_{29} = 3.6 + 28 \times 2.6 \\ t_{29} = 3.6 + 72.8 \\\huge \orange{ \boxed{ t_{29} = 76.4}} \\ [/tex]
recursive function f(7)=5.18
Solve the following equation for x.
3x-9=-33
A.-16
B.-8
C.-9
D-14
Answer:
-8
Step-by-step explanation:
3x-9 = -33
3x= -33+9
3x= -24
x= -24/3
x= -8
hope this helps
The following equation for x. 3x-9=-33 has the valueof x as -8. Thus, option B is correct.
What is the equation?
A formula that expresses the connection between two words on each side of an indication. A calculation with an integer multiple is referred to as an equation. Algebra is widely used in equations. In performing calculations but unsure of the precise amount, algebra is utilized.
The equation that is presented is
3x-9 = -33
3x= -33+9
Simplifying the equation
3x= -24
x= -24/3
The value of x is derived as
x= -8
Therefore, option B is the correct option.
Learn more about equations, here:
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There are approximately 2 lbs of muscle for every 5 lbs of body weight of a certain animal. For a 135 dash lb animal, how much of the weight is muscle? There are nothing lbs of muscle.
Answer:
81 lbs
Step-by-step explanation:
christa spends 30% of her weekly income rent. if her rent is $360 each week, find her weekly income.
Answer:
1200
Step-by-step
$360= 30%
$12= 1%
12*100= 1200
Check
1200/0.3=360
Find the values of x and y.
could you please help me with this?
Answer:
y=30, x=8
Step-by-step explanation:
right angle =90
the angle of a triangle =90-40=50 degrees
the image shows two parallel line with perpendicular line that holding angle 40 and 3y
3y=90 degrees
y=90/3=30 degrees
the sum of the angles of triangle =180
3y+5x+50=180
3(30)+5x+50=180
5x=180-90-50
5x=40
x=40/5=8
the angles are 50,90,40
In buffalo, New York the temperature was -12F in the morning. What will the temperature be if it drops 9F
Answer:
The correct answer is -21 degrees.
Step-by-step explanation:
We know that the original temperature was -12 degrees. If the temperature drops another 9 degrees, this means that it is getting colder or the temperature is getting lower; this lets us know that we should subtract 9 from the original temperature. This is modeled below:
-12 - 9
Now, we simply have to perform the subtraction to get:
-21 degrees
Hope this helps!
If the area of a garden is 11 square feet, what could be the dimensions of the garden?
Answer:
See below
Step-by-step explanation:
Assuming that the garden is a rectangle, its dimensions could be 1 by 11 feet or 11 by 1 feet. Remember that the area of a rectangle is calculated by multiplying its two dimensions together so we just need to find the factor pairs of 11.
Write a real world problem for 290=48+22x
You have 48 napkins. You're planning on buying some packages of napkins at the store later. Each package contains 22 napkins. You've got to buy enough since you've need 290 napkins. How many packages of napkins will you buy? Let the amount of packaged napkins you'll buy be x.
Picture below for Question
Answer:
i think its c.
Step-by-step explanation:
what is the prefix for deci
Answer: Deci is a decimal unit prefix in the metric system denoting a factor of one tenth. Basically, it means “tenth.”
-5(6x+3y-1)
What is this simplified
Answer:
Step-by-step explanation:-30x-15y+6
Answer:
− 30 x − 15 y + 5
Just distribute and combine like terms
If you want the complete steps just ask!
Hope this Helps!!
a bee flies at 9 feet per second directly to a flower bed from its hive. the bee stays at the flower bed for 15 minutes then flies directly back to the hive at 6 feet per second. it is away from the hive for a total of 20 minutes
Answer:
Assuming the question is asking how much time it takes each way, the answer would be 2 minutes from the hive to the flowerbed and 3 minutes back.
Assuming the question is the amount of distance between the hive and the flower bed, the answer is 1080 feet.
Step-by-step explanation:
So the total amount of time it was away from the hive was 20 minutes. Out of those 20 minutes, 15 minutes were spent in the flowerbed. So that means travel time was 5 minutes. Now, going is 9 and coming back is 6, so 9+6=15, 5/15=1/3, 1/3*9=3 and 1/3*6=2
Knowing that information, lets solve what the question could be because I have no idea. The amount of distance from the hive to the flower bed is 1080 feet. I got this by doing 9 (the amount of feet per second) times 120 (the amount of seconds in 3 minutes.) You could do this with 6 but I found it easier to multiply 9*120 compared to 6*180.
If it's the commute time, we already solved that.
If I didn't answer the real question, please just comment on this.
8. Parallel to the line y = 2x + 5 and contains the
point (4, 5) in slope-intercept form.
Please help and show work .
Answer:
[tex]y=2x-3[/tex]
Step-by-step explanation:
So we want to find an equation in slope-intercept form that is parallel to:
[tex]y=2x+5[/tex]
And contains the point (4,5).
So to create the equation, we will need to slope and the y-intercept.
First, recall that parallel lines have the same slope. Since we want our equation to be parallel to y=2x+5, this means that the slope of the new equation must be 2.
Now, we can use the point-slope form to solve for the y-intercept. The point slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
Let (4,5) be x₁ and y₁. m is 2 since it's parallel to y=2x+5. Thus:
[tex]y-5=2(x-4)\\[/tex]
Distribute:
[tex]y-5=2x-8[/tex]
Add 5 to both sides:
[tex]y=2x-3[/tex]
And that's our equation :)
11/20 as a percentage
55%
Step-by-step explanation:
to findpercentages just divide 11/20. thenove the decimal place over 2 times
A line parallel to
y=5x+2
Answer:
y = 5x + 3 (or, any line with the slope equal to 5 and a different y-intercept)
Step-by-step explanation:
Parallel lines will have the same slope.
So, a line such as y = 5x + 3 will be parallel because it has the same slope as the original line, which is 5.
There are almost an infinite amount of parallel lines, it just has to have the same slope and a different y-intercept.
Lines like y = 5x + 1 and y = 5x are also parallel.
Answer:
y=5x-8
Explanation:
A line that is parallel to another has the same slope.
The difference between these is where they cross the y-axis.
Hopefully this helps, have a good dayy!! :)