Answer:
19
Step-by-step explanation:
The first 5 terms of a quadratic sequence are
-1, 5, 15, 29,47
Find the nth term of this sequence.
Step-by-step explanation:
an = 2n^2 - 3 · Anonymous. -1, 5, 15, 29, 47, ... an = 2 n^2 - 3.
The required nth term will be 2n² - 3 in the given quadratic sequence.
What are the sequences?Sequences are defined as an arrangement of numbers that is in a particular order.
The first 5 terms of a quadratic sequence are following as:
-1, 5, 15, 29, 47,
We have to determine the nth term of the given sequence.
As per the given question, we have
-1, 5, 15, 29, 47,
We can rewrite the above numbers in the sequence as
first term = -1 = 2(1)²-3,
second term = 5 = 2(2)²-3,
3d term = 15 = 2(3)²-3,
4th term = 29 = 2(4)²-3,
5th term = 47 = 2(5)²-3
Similarly, nth term = 2n² - 3
Therefore, the required nth term will be 2n² - 3 in the given quadratic sequence.
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Pierson's Pet Palace has an 85 gallon fish tank. When it needs to be cleaned, it can be drained at a rate of 4 gallons per minute. Write an equation. help pls
Answer:
Step-by-step explanation:
The time it takes to empty the tank = 85/4 + 0.25 = 21.25 minutes.
- because it takes 21 minutes to empty 84 gallons and the last gallon takes
1/4 of a minute.
An alternating current i in amperes in a certain circuit can be found after t seconds using i= 3 (sin 150)t , where 150 is a degree measure. Rewrite the formula in terms of sum of two angle measures.
Group of answer choices
a 3[sin (130 + 15)] t
b 3[sin (45 + 45)] t
c 3[sin (180 - 45)] t
d 3[sin (90 + 60)] t
The formula in terms of sum of two angle measures is c 3[sin(90 + 60)]t
Since the alternating current i in amperes after t seconds is i = 3(sin150)t.
We want to write 150 as the sum of two angles measures.
So, 150 = 90 + 60.
So, the current i = 3(sin150)t
i = 3[sin(90 + 60)]t
So, the formula in terms of sum of two angle measures is c 3[sin(90 + 60)]t
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HELP ME PLEASE>>>>>>
Answer:
I think d is the answer......
TACOS Orlando spent $18 at a taco truck. He ordered 4 tacos. Write and solve an equation to
find the cost of each taco.
Answer:
$4.5 for one taco
Step-by-step explanation:
18 divided by 4
The division is a process of splitting a specific amount into equal parts.
The equation to find the cost of each taco truck is 4x = 18.
The cost of each taco truck is $4.5.
What is division?The division is a process of splitting a specific amount into equal parts.
Example:
5 apples cost $60.
Cost of each apple = 60/5 = $12.
We have,
Total amount spend = $18
Number of taco trucks where $18 was spent = 4
Let the cost of each taco truck = x
The equation to find the cost of each taco truck can be written as:
4x = 18
We need to find x.
x = 18/4
x = $4.5
Thus the cost of each taco truck is $4.5.
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Scale: 2inches = 1 ft
1.)Jenna's father is going to use the blueprint above to make a playhouse for her. The length of the entire first floor is 12 inches. What is the actual length?
2.)The width of the entire first floor it is 8 inches. What is the actual width?
3.)What scale factor did Jenna's father use to go from the drawing to the actual house?
4.)What is the perimeter of the first that floor Jenna's that father built?
5.) What is the area of the first floor that Jenna's that father built?
The actual lenght will be 6 fee
The actual width will be 4 feet
The scale factor that Jenna's father used to go from the drawing to the actual house is 1.5
The perimeter of the floor is 20 feet
The area of the first floor that Jenna's that father built is 24ft²
Given the conversion factor 2inches = 1feet
1) If Jenna's father is going to use the blueprint above to make a playhouse for her and the length of the entire first floor is 12 inches, the actual length in feet is expressed as:
12 inches = x
2inches = 1feet
_____________________________
2x = 12
x = 6 feet
Hence the actual lenght will be 6 feet
2) If the width of the entire first floor is 8 inches, the actual width is expressed as;
8 inches = x
2inches = 1feet
_____________________________
2x = 8
x = 4 feet
Hence the actual width will be 4 feet
3) Thee scale factor will be the ratio of the length to the width as shown:
Ratio = length/width
Ratio = 6/4
Ratio = 3/2
Hence the scale factor that Jenna's father used to go from the drawing to the actual house is 1.5
4) The perimeter of the floor = 2(L + W)
Perimeter = 2(6 + 4)
Perimeter = 2(10)
Perimeter of the floor is 20 feet
5) Area of the floor = length * width
Area of the floor = 6ft * 4ft
Area of the floow = 24ft²
Hence the area of the first floor that Jenna's that father built is 24ft²
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150 - 0.5 = 120 + 0.25
Answer:
149.5 = 120.25
Step-by-step explanation:
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
A
Step-by-step explanation:
For every additional goodie bag, you're adding the original number to itself and so on...
Example:
1 Goodie bag = Candy: 2 Toys: 3
2 Goodie bags = Candy: 4 Toys: 6
3 Goodie bag = Candy: 6 Toys: 9
100-80 divided by 4+(6-3) using pemdas
Answer:88.57
Step-by-step explanation: If your doing PEMDAS you do () Wich is 6-3 and gives 3tyen you do Addition which is 4+3=7 Then do Subtraction which is 100-80 so the equation is 100-80/7=88.57 etc.
The diameter of a circle is 14 in. Find its area in terms of
π
π.
Answer:
49π in²
Step-by-step explanation:
Step 1: Find the radius.
To find radius given diameter, just divide the diameter by 2: [tex]\frac{14}{2}[/tex] 14/2 = 7, so the radius is 7.Step 2: Apply area of circle formula.
The formula to find the area of a circle is πr², where r = radius.Now, plug in the value of r: π(11)².Step 3: Simplify.
π(11)²π(121)121πSince we're finding the area in terms of pi, we don't have to multiply 121 by pi, so the answer is 49π in².
undefined slope through (74, 25)
slope-intercept form:
y=25
piont-slope form:
y-25 =0×(x-74)
The formula is:
y-y1=m9(x-x1)
what percent of 925is37
Answer:
4%
Step-by-step explanation:
to find percentage do 37 divided by 925 helps it helps :)
1. 18 is 30% off what number
2. 10 is 25% of _______
3. 54 is 9% of _______
4. 45 is 75% of _______
Look at the model. Name three equivalent fractions for the part that is shaded
Answer:
1. 2/6
2. 1/3
3. 3/9
Step-by-step explanation:
I've learned this before
2 + 2 = ? plz help me
Answer:
2+2=4
Step-by-step explanation:
thats the Anewer I know that it
Answer:
4
Step-by-step explanation:
Same thing as 2 x 2 = 4
which expression shows the correct way of solve for the length of GH
Write the equation of the line in fully simplifipe-intercept form.
12
11
10
9
8
7
6
5
4
3
2
1
-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1 2 3 4 7 8 9 10 11 12
-2
-3
-4
-5
-6
-7
-O
-9
-10
-11
-12
Answer: Y = Z!
Step-by-step explanation: Hopes This Helps!
Find the missing fraction __ -3/4=2/3
Answer:
17/12Step-by-step explanation:
x - 3/4 = 2/3
x = 2/3 + 3/4
x = 17/12
----------------
check
17/12 - 3/4 = 2/3
the answer is good
Please Help, And Include Explanation. I will Give Brainliest To Best Answer
Answer: what’s the question I would love to help but there’s no question maybe try to post it again and I will see if I can answer?
Answer:
No question so no answer (just getting points i guess)
Step-by-step explanation:
Trisha is saving $25 a week to go on a vacation. She determines that she will need $350 for the vacation,but she also wants to have over $100 left in her bank account after the trip. How many weeks should Trisha save?
Find the simple interest and amount in each of the following:
(a) P = $1800 R = 5% T = 1 year
(b) P = $2600 R = 12% T = 3 years
(c) P = $3125 R = 15% T = 73 days
(a)
[tex]SI = \frac{PRT}{100} \\ = \frac{1800 \times 5 \times 1}{100} \\ = 18 \times 5 \\ = 90[/tex]
Total amount = SI + Amount
= 90 + 1800 = $1890
(b)
[tex]SI = \frac{PRT}{100} \\ = \frac{2600 \times 12 \times 3}{100} \\ = 26 \times 12 \times 3 \\ = 26 \times 36 \\ = 936[/tex]
Total amount = SI + Amount
= 936 + 2600 = $ 3236
(c)
[tex]SI = \frac{PRT}{100} \\ = \frac{3125 \times 15 \times 0.2}{100} \\ = 93.75[/tex]
Total amount = SI + Amount
= 93.75 + 3125 = $ 3,218.75
The simple interest on $1800 is $90.
The simple interest on $2600 is $936.
The simple interest on $3125 is $93.75
What are the simple interests?Simple interest is when interest is earned only on the amount of money deposited.
Simple interest = amount deposited x time x year
1800 x 0.05 x 1 = $90
2600 x 0.12 x 3 = $936
3125 x 0.15 x (73/365) = $93.75
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What is the equation of the line that passes through the point (-6,-6)(−6,−6) and has a slope of \frac{2}{3} 3 2 ?
Answer:
the first on is 144 the secnd one is 1
Step-by-step explanation:
i think that's write.
Which graph represents f(x) = -1/4 x^6
Answer:
answer is B
Step-by-step explanation:
I used Desmos to graph the function
) Are 9:6 and 18: 12 equivalent?
Answer:
Yes
Step-by-step explanation:
9 18
_ = _
6 12
9*2=18
6*2=12
2=2 TRUE
△ABC has vertices A(1,1) B(5,5) and C(4,6)
What is the perimeter of △ABC
What is the area of △ABC? Show your work.
Length in units:
Use phytogoras theorem or measure it by a ruler if your using a graph paper
AB = 5.65 units
AC = 5.83 units
CB = 1.41 units
Perimeter =5.65 + 5.83 + 1.41 = 12.89 units
Area = 1/2 * 1.41 * 5.65 = 3.98units
2.
If you were to flip a coin 20 times, what is the probability
you would get at most 13 heads?
a) .9423
b) .1316
c) .0577
d) .0739
Answer:
A) .9423
Step-by-step explanation:
The chance of getting at most 13 heads is 0.9423
Is the relation below a function? If it is a function, state its domain.
{ (-2, 3) , (-2, -3) , (8, 1) , (3, 3)}
Answer:
not a function. domain = -2, 3, 8 (you don't have to write them in any specific order and you also don't need to write -2 twice)
Step-by-step explanation:
to be a function, all of the x's must be different
Lorinda can walk 1.8 miles in 30 minutes.
Which proportion can be used to find how many miles she can walk in 45 minutes?
Answer:
B. (1.8)/(30) = (x)/(45)
How to solve y=4x+1 y=- x=-2
if you multiply the number by to end at 4 the results you gave will be the same of three times the number decreased by 7
Answer:
11
Step-by-step explanation:
Let the number be x,
2x+4 = 3x-7
Collect like terms
2x-3x= -4-7
-x =. -11
Multiply both sides by -1
x. =. 11
Oh and I think you made a typo and missed the 2, " if you multiply the number by 2 to end at 4..........."
Hope This Helps :)