Answer:-4
Step-by-step explanation:
11,7,3,-1,-5,......they have a difference of -4
11-4=7
7-4=3
3-4=-1
-1-4=-5
Recursive formula for the given sequence is [tex]a_{n}=a_{n-1}-4[/tex]
What is Recursive formula?A recursive formula is a formula that defines any term of a sequence in terms of its preceding term(s).
Consider
The first term [tex]a_{1} =11[/tex]
second term [tex]a_{2}=7[/tex]
Common difference = 7-11 = -4
Third term [tex]a_{3}=3[/tex]
Common difference = 3-7 =- 4
Fourth term [tex]a_{4}=-1[/tex]
Common difference = -1-3= -4
Then the formula for the sequence is [tex]a_{n}=a_{n-1}-4[/tex]
Hence, the Recursive formula for the give sequence is [tex]a_{n}=a_{n-1}-4[/tex]
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write a pair of equal angles which are supplementary
Step-by-step explanation:
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need help i WILL MARK YOU BRANLEST HELP!!!!!
What might cause a theory to change over time
Answer:
Accepted theories may be modified or overturned as new evidence and perspective emerges. Scientists are likely to accept a new or modified theory if it explains everything the old theory did and more. The process of theory change may take time and involve controversy, but eventually the scientific explanation that is more accurate will be accepted.
The discovery of new evidence because it's the only one that would give proof and science relies on proof.
What might cause a theory to change over the time?Accepted theories may be modified or overturned as new evidence and perspective emerges. Scientists are likely to accept a new or modified theory if it explains everything the old theory did.
The process of theories change may take time and involve controversy, but eventually the scientific explanation that is more accurate will be accepted.
The discovery of new evidence because it's the only one that would give proof and science relies on proof.
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5 Laura says that the distance between (4, -2) and (4, -7) in the coordinate plane is
equal to 1-2-(-7) units.
Ryan says that the distance between the points (2, 3) and (-9,3) in the coordinate
plane is equal to 2 + 9 units.
Is either Laura or Ryan correct? Explain.
Answer:
Ryan is correct.
Step-by-step explanation:
Laura says that the distance between (4, -2) and (4, -7) in the coordinate plane is equal to 1-2-(-7) units.
Here, x-coordinates are same, so the distance between these points is the difference between y-coordinates.
Distance between (4, -2) and (4, -7) = -2-(-7)
= -2+7
= 5 units.
So, Laura is incorrect.
Ryan says that the distance between the points (2, 3) and (-9,3) in the coordinate plane is equal to 2 + 9 units.
Here, y-coordinates are same, so the distance between these points is the difference between x-coordinates.
Distance between (2, 3) and (-9,3) = 2-(-9)
= 2+9
= 11 units.
Therefore, Ryan is correct.
If f(x)=3-|7+2x|, evaluate if f(-5)
Answer:
0
Step-by-step explanation:
the || makes whatever number is inside it abslute so -3 becomes 3 instead
Answer:
[tex]f(-5)=0[/tex]
Step-by-step explanation:
[tex]f(x)=3-|7+2x|\\f(-5)=3-|7+2(-5)|\\f(-5)=3-|7+(-10)|\\f(-5)=3-|-3|\\f(-5)=3-3\\f(-5)=0[/tex]
In ΔQRS, the measure of ∠S=90°, QR = 8.2 feet, and SQ = 4.2 feet. Find the measure of ∠R to the nearest degree.
Answer:
R=30.81≈31
Step-by-step explanation:
Answer:
R=30.8
Step-by-step explanation:
The answer you'd get on the calculator when simplisfied is 30.81, and when that answer is rounded to the nearest tenth, it'd equal 30.8 and not 31
Once a hot-air balloon reached its highest point, it dropped 25 feet. Then five minutes later, it dropped another 13 feet. Find its total change in altitude during this time.
Answer:
The total change of altitude should be, -38ft.
Step-by-step explanation:
Sorry about the quality of the picture but
Answer:
52.5 km
Step-by-step explanation:
1cm: 2100000cm
2.5cm: x cm
you get 52.5 km
Which of the following represents fifth root of x to the fourth power in exponential form? (6 points) a 4x5 b 5x4 c x to the five fourths power d x to the four fifths power
Answer:
B) 5x4
one its not A nor its C
its either B or D but i would go with B because D doesn't make sense all because D is saying x4^5 but its 5x^4
Answer:
[tex]x^{\frac{4}{5} }[/tex]
Step-by-step explanation:
Using the rule of radicals/ exponents
[tex]\sqrt[n]{x^{m} }[/tex] ⇔ [tex]x^{\frac{m}{n} }[/tex] , thus
[tex]\sqrt[5]{x^{4} }[/tex] = [tex]x^{\frac{4}{5} }[/tex]
1) ¿CUÁLES DE ESTAS OPERACIONES SE PUEDEN EXPRESAR COMO POTENCIAS? ¿POR QUÉ? a) 4 x 4 x 4 x 4 b) (-3) +(-3) + (-3) c) 7 + 7 + 7 d) 7 x 7 x 7 e) (-2) x (-2)
Answer:
4 × 4 × 4 × 4 7×7×7(-2)×(-2)Step-by-step explanation:
solo las expresiones con signos de multiplicación pueden expresarse como potencias
[tex]4\times 4\times4\times4 = 4^4\\\\7\times7\times7 =7^3\\\\(-2)\times(-2) = (-2)^2[/tex]
Given that 4 x − 5 y = 12 Find y when x = − 3
Answer:
When x = -3.
4(-3)-5y=12.
-12-5y=12.
-5y=12+12.
-5y=24.
y= -4.8
write a word problem for this equation $2 x n = $18
Answer:
If You have $18, how many $2 items can you purchase?
1.
Change these measurements into metres:
(b) 425 cm
(d) 140 cm
(e) 780 cm
(a) 245 cm
(c) 535 cm
(f) 340 cm
(g) 2 565 cm
(h) 5 010 cm
2.
Change these measurements into centimetres:
(a) 8 m
(b) 13 m
(c) 24 m
(d) 207 m
(e) 21 m
(f) 100 m
(g) 105 m
(h) 1 m
Answer:
1m = 100cm, 100cm = 1m
1.
b) 425cm = 4.25m
d) 140cm = 1.4m
e) 780cm = 7.8m
a) 245cm = 2.45m
c) 535cm = 5.35m
f) 340cm = 3.4m
g) 2,565cm = 25.65m
h) 5,010cm = 50.10m
2.
a) 8m = 800cm
b) 13m = 1,300cm
c) 24m = 2,400cm
d) 207m = 207,000cm
e) 21m = 21,000cm
f) 100m = 100,000cm
g) 105m = 105,000cm
h) 1m = 100cm
Answer:
•Centimeters to Meters
a) 2.45 m
b) 4.25 m
c) 5.35 m
d) 1.4 m
e) 7.8 m
f) 3.4 m
g) 25.65 m
h) 50.1 m
•Meters to Centimeters
a) 800 cm
b) 1,300 cm
c) 2,400 cm
d) 20,700 cm
e) 2,100 cm
f) 10,000 cm
g) 10,500 cm
h) 100 cm
Step-by-step explanation:
When you go to convert centimeters into meters, you divide the number of centimeters by 100. Once divided, that number is how many meters it is. Ex. There are 652 cm and you need to find out how many meters there are. Divide 652 by 100 (652/100) and that equals 6.52 m
When you go to convert meters into centimeters, multiple the number of meters by 100. Ex. There’s 4 m of rope and you want to know the length in centimeters. Multiply 4 by 100 (4x100) and you should get 400 cm.
Find the value of each variable in the parallelogram.
Answer:
w = 2, z = 7
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ;)
Find the length of the arc
A.8 pie ft
B.32 pie ft
C.64 pie ft
D. 361 pie/ 12 ft
======================================================
Explanation:
The perimeter around the circle is known as the circumference
The full circumference of a circle with radius r is
C = 2*pi*r
In this case, r = 16 is the radius, so,
C = 2*pi*r
C = 2*pi*16
C = 2*16*pi
C = 32pi
is the full distance around the circle. But we only want 90/360 = 1/4 of that total distance. So take 1/4 of 32pi to get
(1/4)*32pi = (1/4*32)pi = 8pi
The arc length is exactly 8pi feet long
Approximately this is about 25.13274 feet
The length of the arc is exactly 8π feet long.
To find the length of the arc.
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”.The perimeter around the circle is known as the circumference.
Given that:
Ф=90°
r=16 feet
The perimeter around the circle is known as the circumference.
The circumference of a circle with radius r is
C = 2*π*r
C = 2*π*16
C = 2*16*π
C = 32π
But we only want 90°/360° = 1/4 of that total distance. So multiply 1/4 to 32π to get.
=(1/4)*32π
= (1/4*32)π
= 8π
Therefore, the length of the arc is exactly 8π feet long.
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12, 13, 14, 15, 21, 24, 25, 26, 27, 29, 32, 32, 38, 41, 47. Make a box-and-whisker plot for the data. What is the 5 point summary for this box and whisker plot?
Answer:
Hence the five point summary is:
i) Minimum = 12
ii) Maximum = 47
iii) Median = 26
iv) First quartile = 15
v) Third quartile = 32
Step-by-step explanation:
The five point summary of a box and whisker plot is the minimum, maximum, median, first quartile and third quartile.
Given the number 12, 13, 14, 15, 21, 24, 25, 26, 27, 29, 32, 32, 38, 41, 47.
The median is the middle number = 26
The first quartile is the median of the numbers to the left of the median. Hence the first quartile is the median of 12, 13, 14, 15, 21, 24, 25
First quartile = 15
The third quartile is the median of the numbers to the right of the median. Hence the third quartile is the median of 27, 29, 32, 32, 38, 41, 47.
Third quartile = 32
The minimum is the lowest number = 12
The maximum is the largest number = 47
The box and whisker plot is attached
Hence the five point summary is:
i) Minimum = 12
ii) Maximum = 47
iii) Median = 26
iv) First quartile = 15
v) Third quartile = 32
7 19/50 as a decimal
Answer:
Here you go:)
Step-by-step explanation:
7.38
On a vertical line segment, point A is located at 50. Point B is located at 104. Point P is a point that divides segment AB in a ratio of 1:5 from A to B. Where is point P located?
Answer:
Step-by-step explanation:
Let the initial point on the line segment be O. If point A is located at 50 and point B is located at 104, then OA = 50 and OB = 104. Using the vector notation;
AO+OB = AB
(-OA)+OB = AB
-50+104 = AB
AB = 54
If point P divides the segment AB in a ratio 1:5, them AP:PB = 1:5
AP = 54/6
AP = 9
PB = 54-9
PB = 45
Hence the point P is located at 9 units from A and 45 units from B
In the triangle below, find the measurements of the unknown angles.
2a
75
O °
A. 75°, 1050
OB. 40°, 80°
Oc.
C. 50, 10°
OD. 25°, 50°
O E
E. 35º, 70°
Answer:
E. 35°, 70°
Step-by-step explanation:
Sum of angles add up to 180° in every triangle.
Step 1: Set up equation
a + 2a + 75 = 180
Step 2: Combine like terms
3a + 75 = 180
Step 3: Subtract 75 on both sides
3a = 105
Step 4: Divide both sides by 3
a = 35
So 1 angle is 35°
Step 5: Plug in a to find last angle
2(35) = 70°
Answer:
E. 35°, 70°
Step-by-step explanation:
54:23
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the
equation 3x-3-2x+10?
O x = 5
05 = X
-15 = -5x
-5x = 15
Answer: -5x=15
Step-by-step explanation:
f
can someone show me the answer + how they got there? (x+4)(x-1)
Answer:
x^2+3x-4
Step-by-step explanation:
x * x - x + 4x - 4
x^2 - x + 4x - 4
x^2 + 3x - 4
=============================================
Explanation:
You can use the FOIL rule to expand out (x+4)(x-1), but here's another way you could do it.
Let y = x+4
This means we replace (x+4) with y to get y(x-1)
Distribute the y term through to get yx-y which can be written as x(y) - 1(y)
After this, replace y with x+4 getting x(x+4)-1(x+4)
Distribute a second time and simplify like so
x(x+4)-1(x+4)
x^2+4x-1x-4
x^2+3x-4
6x + 3 (2x) - 7 - 2³ Please include th steps to solving it.
Answer:
24x-15
Step-by-step explanation:
Let's do this together with a step-by-step explanation!
First we need to make sure we remember that there are appropriate ways on how to solve these. LIKE PEMDAS.
6x + 3 (2x) - 7 - 2³
Let's multiply the 3 and 2x together.
6x + 6x - 7 - 2³
Now let's do the exponent
6x + 6x - 7 - 8
Now let's add everything together! But remember only common variables can be added together.
24x - 15 is the answer.
You can no longer break anything down.
I really hope this helped you!
Answer:
12x - 15
Step-by-step explanation:
so you would have to do the order of operations. so your exponent would be first. so 2×2×2=8.
6x + 3 (2x) -7 + 8
Now you can look at your parentacese which is (2x) so you need to do 3(2x) which gets you 6x.
6x + 6x -7 + 8
So you need to combine like terms.
so starting with the x
6x + 6x = 12x
Now your equation looks like this
12x + -7 +8
now you need to add like terms. (numbers)
-7 -8
so your answer is
12x -15
What is x2=361 equation for x
Answer:
x = ± 19
Step-by-step explanation:
x² = 361
x = ±√361
x = ± 19
Which equation shows the correct relationship between the measures of the angles of the two triangles?
Answer:
The answer is C
Answer:
c is the answer
Step-by-step explanation:
the answer is c
Solve linear equation
- 0.75p - 2 =0.25p
Answer: p = -2
Step-by-step explanation:
- 0.75p - 2 =0.25p add .75p on both sides
-2 = p That's the same thing at p = -2
Answer:
p = -2
Step-by-step explanation:
-0.75p - 2 = 0.25p Subtract 0.25p from both sides
-1p - 2 = 0 Add 2 to both sides
-1p = 2 Divide by -1 on both sides
p = -2
Use long to divide 34298 by 26 then select the true statement the quotient has a remainder of 4 the quotient has a remainder of 14 the quotient has a no remainder, the quotient has a remainder of 12
Answer:
the quotient has a remainder of 4
Step-by-step explanation:
The computation of the long division is shown below:
1 3 1 9
--------------------------------
26 34298
26
-------------------------------------(deduct)
82
78
--------------------------------------(deduct)
49
26
------------------------------(deduct)
238
234
--------------------------
4
hence, the first option is correct
If there are 48 boys and 32 girls what are all of the possible ratios
Answer:
48 to 32 8 to 4 4 to 2 24 to 16
Step-by-step explanation:
What is a fraction grader than 33% and less than 1/2
Answer: 45% or 9/20
Step-by-step explanation:
50% is half and 33% is 1/3. 45% is less than 50% and greater than 33% and 9/20 is the simplified fraction form of 45%.
A stamp has the Length of 1/2 cm and a width of 1 1/2 is the area of the stamps
Answer:
[tex]Area = \frac{3}{4} cm^2[/tex]
Step-by-step explanation:
Given
[tex]Length =\frac{1}{2}\ cm[/tex]
[tex]Width = 1\frac{1}{2}\ cm[/tex]
Required
Determine the Area
Area is calculated as follows
[tex]Area = Length * Width[/tex]
Substitute values for Length and Width
[tex]Area = \frac{1}{2} * 1\frac{1}{2}[/tex]
Convert mixed fraction
[tex]Area = \frac{1}{2} * \frac{3}{2}[/tex]
[tex]Area = \frac{3}{4}[/tex]
Hence, the area is
[tex]Area = \frac{3}{4} cm^2[/tex]
The keyword "altogether" refers to what operation?
Answer:
addition
Step-by-step explanation:
altogether means to put things together or to combine.
addition is taking two or more things and combining them.
Answer:
The keyword "altogether" refers to addition.
Step-by-step explanation:
altogether = the sum of something