The relationship between corresponding terms in the two patterns is B(n) = 2A(n) where the A(n) and B(n) is the nth terms of the pattern A and pattern B.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have Pattern A starts at 0 and has the rule "add 3"
Pattern A:
0, 3, 6, 9, 12.....and so on
Pattern B starts at 0 and has the rule "add 6."
Pattern B:
0, 6, 12, 18, 24, 30.... and so one
In the pattern A we can find the nth term:
First term = 0, common difference = 3
A(n) = 0 + (n-1)3 = 3(n-1)
Similarly in the pattern B we can find the nth term
First term = 0, common difference = 6
B(n) = 0 + (n-1)6 = 6(n-1)
The relation can be derived between the nth term of pattern A and pattern B as follows:
B(n) = 2A(n)
Thus, the relationship between corresponding terms in the two patterns is B(n) = 2A(n) where the A(n) and B(n) is the nth terms of the pattern A and pattern B.
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What range of weights measured on an analytical balance with a precision of 0.2mg,will round to 2.0g.What is te relative percent precision of these weights
The range of weights measured on an analytical balance with a precision of 0.2mg,will round to 2.0g is 0.1900 g to 0.2100 g.
What is analytical balance?The analytical balance is the device which is used to measure the mass or weight of the object with high level of precision.
Even using the analytical balance equipment, you do not get the accurate weight. For the measurement of the 0.2 g the precision level is ±0.1 mg.
For the positive number, the value will be 0.2100 gFor the negative number, the value will be 0.1900 g.The range of weights measured on an analytical balance with a precision of 0.2mg,will round to 2.0g is 0.1900 g to 0.2100 g.
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Dara and Jo share £420 in the ratio 2:5.
Calculate how much Dara and Jo receive each.
Answer:
Dara receives £120 and Jo receives £300
Step-by-step explanation:
D:J
2:5
5+2=7
£420÷7= £60
1 on the ratio= £60
Dara:
£60 × 2= £120
Jo:
£60× 5= £300
on her first day of work, mia sold one straw hat. on day two, she sold three straw hats. on day three, she sold five straw hats, on each succeeding day, she sold two more straw hats than she had sold on the previous day. how many straw hats in total had mia sold after working 40 days?
If Mia sold 2 more hats on each suceeding day, after working 40 days it is expected Mia had sold a total of 1523 hats.
How many hats will Mia sell everyday?Day: Hats
1 = 12=33 = 54=75= 96=117= 138= 159=1710=1911= 2112=2313= 25among othersYou can notice the number of hats she will sell follow a pattern as there are only sequential odd numbers.
How many hats will Mia sell in total?By following the sequence let's add the hats she will sell everyday:
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31 + 33 + 35 + 37 + 39 + 41 + 43 + 45 + 47 + 49 + 51 + 53 + 55 + 57 + 59 + 61 + 63 + 65 + 67 + 69 + 71 + 73 + 75 + 79 = 1523Learn more about sums in: https://brainly.com/question/13013054
please help! what is the arc RU? thank you so much!
Answer: 92° or 1.6057 radians
Step-by-step explanation:
the 4 angles created by the intersecting lines SU and RT have to equal 360°
<v = 88° because of vertical angles so
88° • 2 = 176°
360° - 176° = 184°
184°/ 2 = 92°
92°+92°+88°+88° = 360°
then, that makes 92° the central angle of arc RU and the central angle degrees is always equal to the arc it subtends
hope this helps :)
Rearrange 4x+2y to make Y the subject.
please just answer my question on this image
Answer:
It's the first one because 5 x 3 = 15 and 10 x 3 = 30 and 15 x 3 = 45 and so on..
Step-by-step explanation:
Answer:
The first one answer, because pattern X is 3 times the corresponding term in pattern Y.
5 x 3= 15
10 x 3=30
15 x 3= 45
20 x 3=60
please help mee i beg
Step-by-step explanation:
8.5 × -3 = a
-25.5 = a
b - 7 = -11
b = -4
c -(-3) = 15
c = 12
d - 4 = 32
d = 36
if you still have any doubts feel free to ask
What is the call out fee
Answer:
A set amount charged for a repairman to come to one's house, or to a broken-down vehicle, which is added to the cost of the actual repair.
whats this? mulitply 12.1/4
Answer: 3
Step-by-step explanation: 12/1 × 1/4
Evalueate the measure x in the figure.
Answer:
82 degrees
Step-by-step explanation:
180-98 = 82
They are supplementary and make 180 in total so x is 82
20 POINTS!!! ILL MARK BRAINLIEST! The hypotenuse of the triangle is 32, what is the radius of Circle B? Is the radius the same all around? If, both circles have the same ratio of equal radii all around, does that make them similar, what do we think about the similarity of all circles?
circle A is 1st image
circle b is 2nd image with question on it
Answer:
the radius is 4, it is the same all around, they are similar, all circles are similar
Step-by-step explanation:
you can use Pythagoras's theorem to find the radius. √33 ^2 = 32. the other lengths must be equal because they are radii. therefore they are √16 which is 4.
Paul is going to buy a collectible vintage painting from a local art gallery. the painting is priced at $600 in the gallery. the gallery owner does accept credit cards but prefers cash. in fact, he offers to give paul a 5% discount if he can pay in cash. paul doesn't have any cash but can get a cash advance on his credit card. his credit card has an apr of 16% on credit purchases and a 32% apr on cash advances. assuming paul wants to pay the painting off over 12 months, which of the following is true? a. paul will pay a total of $696, over 12 months, if he purchases the painting with his credit card. b. paul will pay a total of $653.28, over 12 months, if he purchases the painting with his credit card. c. paul will pay a total of $782.40, over 12 months, if he purchases the painting with a cash advance for discounted purchase price. d. paul will pay a total of $708.96, over 12 months, if he purchases the painting with a cash advance for discounted purchase price.
When Paul will pay the amount over 12 months, if he purchases the painting with cash advance the discounted purchase price will be $782.40. Then the correct option is C.
What is APR?APR on a credit card is the way of saying that the interest you are charged over a year is equal to roughly of your balance.
Paul is going to buy a collectible vintage painting from a local art gallery.
The painting is priced at $600 in the gallery.
The gallery owner does accept credit cards but prefers cash.
In fact, he offers to give paul a 5% discount if he can pay in cash.
Paul doesn't have any cash but can get a cash advance on his credit card.
His credit card has an apr of 16% on credit purchases and a 32% apr on cash advances.
When Paul will pay the amount over 12 months, if he purchases the painting with cash advance the discounted purchase price will be
[tex]\rm A = 0.95 \times 600 (1+\dfrac{0.32}{12})^{12}\\\\A = 782.40[/tex]
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Identify the rule that correctly describes each sequence. 12, 8, 4, 0, –4, … each term is 4 more than the previous term. each term is 4 less than the previous term. each term is 1/2 the previous term. each term is 2/3 the previous term.
Answer:
Each term is 4 less than the previous term
Step-by-step explanation:
Term Difference
12 --
8 -4
4 -4
0 -4
-4 -4
Answer:
First one is B and the second one is D
Step-by-step explanation:
Just did it on Edge2023
The function f(t) is given by the graph. What is the domain of f(t)?
Check the picture below.
Answer:
-4 ≤ t ≤ 4
Step-by-step explanation:
Hello find the limit stated below
[tex]\\ \rm\Rrightarrow {\displaystyle{\lim_{x\to 0}}}\dfrac{sin^3x+3cosx-cot^2x}{tan^3x+7sinx+3sec^2x}-e^{3x}[/tex]
Note:-
Make sure to include proper explanation and all steps
Answer:
[tex]\displaystyle \lim_{x \to 0} \frac{\sin^3 x + 3\cos x - \cot^2 x}{\tan^3 x + 7 \sin x + 3 \sec^2 x} - e^{3x} = \boxed{- \infty}[/tex]
General Formulas and Concepts:
Calculus
Limits
Graphical LimitsRight-Side Limit:
[tex]\displaystyle \lim_{x \to c^+} f(x)[/tex]
Left-Side Limit:
[tex]\displaystyle \lim_{x \to c^-} f(x)[/tex]
Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \lim_{x \to c} x = c[/tex]
Discontinuities
Removable (Hole)JumpInfinite (Asymptote)Step-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle \lim_{x \to 0} \frac{\sin^3 x + 3\cos x - \cot^2 x}{\tan^3 x + 7 \sin x + 3 \sec^2 x} - e^{3x}[/tex]
Step 2: Find Limit
Let's start out by directly substituting x = 0 into our limit.
[Limit] Apply Limit Rule [Variable Direct Substitution]:We can see that the cotangent of 0 is undefined. Since we do not have an indeterminate form, we cannot use L'Hopital's Rule. Let's look at the function graphically (refer to the attachment).
Approaching the left limit, we can see that the graph heads towards negative infinity.
Approaching the right limit, we can see that the graph also heads towards negative infinity.
∴ we can say that the limit as x approaches 0 is equal to negative infinity.
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
It's plain to see that [tex]e^{3x}\to1[/tex] as [tex]x\to0[/tex], so I'll focus on the trigonometric expression.
Multiply uniformly through the expression by [tex]\sin^2(x)\cos^3(x)[/tex] :
[tex]\dfrac{\sin^3(x) + 3\cos(x) - \cot^2(x)}{\tan^3(x) + 7\sin(x) + 3\sec^2(x)}[/tex]
[tex]= \dfrac{\cos^3(x) \left(\sin^5(x) + 3\cos(x)\sin^2(x) - \cos^2(x)\right)}{\sin^2(x) \left(\sin^3(x) + 7\cos^3(x)\sin(x) + 3\cos(x)\right)}[/tex]
Now as [tex]x\to0[/tex],
• [tex]\cos^3(x)\to1[/tex]
• [tex]\sin^5(x)+3\cos(x)\sin^2(x)-\cos^2(x)\to-1[/tex]
• [tex]\sin^3(x) + 7\cos^3(x)\sin(x) + 3\cos(x) \to 3[/tex]
but [tex]\sin^2(x)\to0[/tex], so [tex]x = 0[/tex] a non-removable discontinuity. Then from either side of [tex]x = 0[/tex], [tex]\frac1{\sin^2(x)}\to+\infty[/tex], and taking into account the sign from the second point above, the overall limit would be
[tex]\displaystyle \lim_{x\to0} \frac{\sin^3(x) + 3\cos(x) - \cot^2(x)}{\tan^3(x) + 7\sin(x) + 3\sec^2(x)} - e^{3x} = -\infty-1 = \boxed{-\infty}[/tex]
Does anyone know how to do this? I need to finish. My IXL before tomorrow I really need help!
Answer:
1. 72 to 56
2. 90 to 70
Step-by-step explanation:
To fill in the blanks you need to find similar ratios,
For the first one, the ratio is 72 and ___,
because 72 is in the 9's column, find out what times 9 equals 72,
9 × ? = 72
Simply divide to find the answer,
72 ÷ 9 = ?
= 8
Now that you know that 9 is being multiplied by 8, multiply 8 and 7 together,
8 × 7
= 56
Hence the answer is 56 for the first blank,
For the second one, the ratio is 90 and ___,
because 90 is in the 9's column, find out what times 9 equals 90,
9 × ? = 90
Once again simply divide to find the answer,
90 ÷ 9 = ?
= 10
Now that you know that 9 is being multiplied by 10, multiply 10 and 7 together,
7 × 10
= 70
Hence the answer is 70 for the second blank,
the capacity of cylindrical water tank is 539 litres. if its height is 1.4 metres then find the radius of the base.
Answer:
350m
Step-by-step explanation:
• Capacity= volume/1000
• but we know that the volume of the cylinder is
[tex]\pi {r}^{2}h[/tex]
so substitute it I'm the volume space
• The substitute for
[tex]\pi \: as \: \frac{22}{7} \: and \: h \: as \: 1.4 \: and \: also \: capacity \: as \: 539[/tex]
• 539 = ((22/7)× r²× 1.4)/1000
• when you simplify you get r as 350m
!!PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!
how do you say if a number is greater than 0 it equals one but if it's less than 0 it the actual number
Answer:
If n > 0, then n= 1
If n < 0, then n=n
If you could word this a bit differently, I might be able to help more, but this is what I'm getting from it. The way you worded it is a bit confusing.
3. Which value is not needed to construct a box plot?
A. upper quartile B. minimum value
C. median
D. mean
Junk food is known for having a lot of "empty calories." Which statement BEST explains the meaning of that term?
A.
Empty calories do not have many nutrients.
B.
Empty calories are made entirely from sugar.
C.
Empty calories need exercise to burn them off.
D. Empty calories are excluded from daily calorie counts.
Answer:
A
Step-by-step explanation:
Answer:
A. Empty calories do not have many nutrients.
Step-by-step explanation:
Will give brainliest!!!
Answer:
5,-5,-2 are the solutions
Step-by-step explanation:
f(x)=0 thus, either:
1) x+5 = 0 and thus x= -5
or
2) x+2=0
thus x= -2
or
3) x - 5 = 0
thus x = 5
notice that the other bracket can be written as:
(x+2)(x-5)
Last week, the price of bananas at a grocery store was $0. 80 per pound.
This week, pears at the same grocery store are on sale at 25% discount.
What is the total price of 5. 5 pounds of bananas this week at the grocery
store?*
How do you solve this
Answer:
.2 maybe but I don't know how to do this
What is 3/4 divided by 7/10
Answer:
1.07
Step-by-step explanation:
A shipping crate is shaped like a rectangular
prism. It is 5 feet long by 3 feet wide by 3 feet
high. What is the volume of the crate?
The volume of the rectangular prism having the dimension 3 feet wide, 5 feet long, and 3 feet tall is 45 cubic feet.
What is a rectangular prism?A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.
A crate is shaped like a rectangular prism. The crate is 3 feet wide, 5 feet long, and 3 feet tall.
The volume of the rectangular prism will be given as
Volume = length × width × height
Then put the values, we have
Volume = 3 × 5 x 3
Volume = 45
The volume of the rectangular prism having the dimension 3 feet wide, 5 feet long, and 3 feet tall is 45 cubic feet.
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Volume
LBH5(3)(3)5(3)²5(9)45ft³what is 5x - 3y + 2z, x =3, y = one third , z = 5 what does this equal
Answer:
asnwer 24
Step-by-step explanation:
x = 3
y = 1/3
z = 5
------------------------------
5( 3 ) - 3(1/3) + 2(5)
15 - 1 + 10 = 24
What set of numbers are shaded on the
hundred chart?
A only the factors of ten
B only the multiples of 10
C only the factors of 20
D only the multiples of 20
Answer:
D - 20, 40, 60, 80, 100 are all multiples of 20
Step-by-step explanation:
Factors of 10 - 10, 5, 2, 1
Multiples of 10 - D and 10, 30, 50, 70, 90
Factors of 20 - 20, 10, 5, 4, 2, 1
:)
Please help. I'll mark you brainliest if right. I really need help
5.0.75% of 80 is what number?
A. 0.6
B.0060
C.60
D.6000
Answer:
Um im sure the answer is C btw
Step-by-step explanation:
correct me if im wrong
Suppose that scores on an exam are normally distributed with mean 80 and standard deviation 5, and that scores are not rounded. What is the probability that a student scores higher than 85 on the exam
Answer:
3
Step-by-step explanation:
cus it's two 80s and 2 5 so 5 minus 2 is 3
Which relation is a function?
Answer:
the third (bottom left) option
Step-by-step explanation:
for every valid value of x there must be exactly one value of y.
the first option is valid only for positive x, but then for every valid x there are always 2 possible y values (a positive and a negative one).
the second option is defined for only one value of x (3), but this x has infinitely many y values.
the fourth option is a circle defined for -r <= x <= r (r being the radius). in this defined interval almost every x has 2 assigned y values (only x = -r and x = r have one y value).