Answers
Answer:
16ᵗʰ Term of the sequence is 1010
Step-by-step explanation:
7.)
Here,
First Term = a₁ = 5
Common Difference = d = 67
Now, For 16ᵗʰ term, n = 16
aₙ = a + (n - 1)d
a₁₆ = 5 + (16 - 1) 67
a₁₆ = 5 + 15 × 67
a₁₆ = 5 + 1005
a₁₆ = 1010
Thus, 16ᵗʰ Term of the sequence is 1010
-TheUnknownScientist
Related Questions
PLEASE HELP ASAP!! will mark!find the zeros of the function. no links
Answers
the answer is x=-1 or x= 5
The diagram shows two rectangles.
The combined area of both rectangles is
By considering the areas of the two rectangles, find an equation in the form that satisfies .
Answers
We know that :
⊕ Area of a Rectangle is given by : Length × Width
Let us calculate the Area of the Rectangle in the Left side of the figure
⇒ Area of Left Rectangle : (x - 3) (x + 2x)
⇒ Area of Left Rectangle : (x - 3) (3x)
⇒ Area of Left Rectangle : 3x² - 9x
Let us calculate the Area of the Rectangle in the right side of the figure
⇒ Area of the Right Rectangle : (x - 1)(x)
⇒ Area of the Right Rectangle : x² - x
Given : Combined area of both rectangles is 50 cm²
⇒ 3x² - 9x + x² - x = 50
⇒ 4x² - 10x = 50
⇒ 2x² - 5x - 25 = 0
Comparing the above equation with ax² + bx + c = 0,
we can notice that :
→ a = 2
→ b = -5
→ c = -25
A rectangular patio has a volume of 360 cubic feet. If the width is 8 feet and the length is 15 feet, what is the height of the patio stones?
Answers
Answer:
3 feet
Step-by-step explanation:
Volume of a rectangular object = length x width x height
360 = 8 x 15 x height
360 = 120 x height
height = 360 / 120
height = 3ft
1. An open box is to be made from a sheet of card 40cm by 30cm. A square of side x cm is to be
cut from each corner, as shown in the diagram, and then the sides will be folded up so that the
depth of the box will be x cm.
(a) Find in terms of x the length and width of the base of the box (ie AB and AD).
(b) The volume of the box is y. Write down an equation expressing y in terms of x.
Answers
Step-by-step explanation:
AB = DC = 40 - 2x
AD = BC = 30 - 2x
there is not more explanation possible, I think.
we cut off from each side 2 pieces of x cm. so, AB, DC, AD, BC are the the remaining lengths.
the volume of the box is ground area times height (x is the length of the remaining flaps after the cut, so, when folding up these flaps/sides, they will be x cm high).
Volume = y = AB×AD×x
=> y = (40-2x)×(30-2x)×x = (1200 - 60x - 80x + 4x²)×x =
= (1200 - 140x + 4x²)×x = 4x³ - 140x² + 1200x
A sector with a central angle measure of \purpleD{175\degree}175°start color #7854ab, 175, degree, end color #7854ab has a radius of \maroonD{12\,\text{cm}}12cmstart color #ca337c, 12, start text, c, m, end text, end color #ca337c.
Answers
Answer: [tex]219.94\ cm^2[/tex]
Step-by-step explanation:
Given
The central angle of a sector measures [tex]175^{\circ}[/tex]
The radius of the circle is [tex]r=12\ cm[/tex]
The area of the sector is given by
[tex]\Rightarrow A=\dfrac{\theta }{360^{\circ}}\pi r^2[/tex]
Insert the values
[tex]\Rightarrow A=\dfrac{175^{\circ}}{360^{\circ}}\cdot \pi \times 12^2\\\\\Rightarrow A=219.94\ cm^2[/tex]
If a car's gas tank has 15 gallons of gas in it, and the gauge says the tank is 75% full, then how many gallons can the entire tank hold?
12
20 gallons
24
11.25
Answers
Answer:
20 gallons
Step-by-step explanation:
set up proportion
15/x=75/100
cross multiply
75x=1500
x=20 gallons
puts $700.00 into an account to use for school expenses. The account earns 4% interest,
compounded continuously. How much will be in the account after 7 years?
Answers
Answer:
$926.19Step-by-step explanation:
Use formula:
A = Pe^(rt)Given
P = $700r = 4% = 0.04t = 7 yearsFind the amount:
A = 700*e^(0.04*7) = 926.191. Which expression is equivalent to 8 - 3?
A 1 x 5
B 3-8
C 8-5
ANSWER QUICK PLZZ NO WEBSITE
Answers
Answer:
B I am guessing, not that good at english, though
What is the surface area of a cone that is 10m tall and has a radius of 6
Answers
Answer:
332.92 m
Step-by-step explanation:
A=πrl+πr2
The product of two rational number is -9 . if one of the numbers is -12, find the other
Answers
Answer:
3
Step-by-step explanation:
because x + (-12) =-9
so x= -9 +12
x = 3
Given the following arithmetic sequence find the formula.
Answers
Answer:
D. an = 4n
Step-by-step explanation:
The formula for finding a term of an arithmetic sequence is:
an = a1 + (n-1)d
where an is the nth term, a1 is the first term and d is the common difference between the terms.
To find d we can take any two adjacent terms and subtract one from the other. e.g. 8 - 4 = 4, 16-12 = 4 etc.
The common difference here is 4, and we can see that the first term of the sequence is also 4, therefore our formula now looks like this:
an = 4 + (n-1)4
Now we can just expand out the brackets to find the final answer:
an = 4 + 4n - 4
an = 4n
Hope this helped!
Find the volume of a pyramid with a square base, where the side length of the base is 6.1\text{ m}6.1 m and the height of the pyramid is 4.7\text{ m}4.7 m. Round your answer to the nearest tenth of a cubic meter.
Answers
Answer:
58.3m^3
Step-by-step explanation:
volume of a pyramid = 1/3 x length x width x height
1/3 x (6.1 x 6.1 x 4.7) = 58.3 m^3
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
|a-5|, if a>5
Please help me
Answers
Answer:
answer is just a-5
Step-by-step explanation:
its is a-5 without absolute value
Trei stilouri și patru creioane costă 35 lei, iar cinci stilouri și două creioane costă 49 lei. Ce rest va primi Maria de la 100 lei , dacă va cumpăra 4 stilouri și 5 creioane?
Answers
Answer:
english?
Step-by-step explanation:
All the DJ’s that Marie interviewed for the party charged a flat fee for supplies and then charged per hour. One DJ was going to charge $200 for travel and music and then $10 per hour. The other DJ was going to charge $150 and then $15 per hour. How many hours would both DJ’s be the same price and what is that price?
Answers
Probability samples are advantageous to the researcher because: A. they are perfectly representative of the population from which they are drawn. B. the method by which they are selected limits conscious and unconscious sampling bias. C. the method by which they are selected limits conscious and unconscious bias and the accuracy/representativeness of the sample can be estimated. D. they allow the researcher maximum exibility in the creation of samples. E. the accuracy/representativeness of the sample can be estimated.
Answers
Answer:
C. the method by which they are selected limits conscious and unconscious bias and the accuracy/representativeness of the sample can be estimated.
Step-by-step explanation:
The probability sampling technique allows for each element in the sample to be representative of the population data from which the samples are drawn. This sort of sampling technique helps to randomize and eliminate errors which might creep into measurement. Since the researcher has the knowledge of the population data or distribution, he takes advantage of these in the allocation of samples using the probabilities of each Sample.
the ball rolls downhill, its kinetic energy increases and its potential energy ________
Maximum
Minimum
.
Answers
The Ball Rolls Downhill, It's Kinetic Energy Increases And It's Potential Energy Maximum.
Hope Helps! :)
[tex] \: \: [/tex]
HELP ME PLEASE, ILL GIVE BRANILIST FOR THE BEST CLEAR ANSWER :
William has a new puppy that has completely destroyed the carpet in his living room. If he wants to replace the carpet in the room, which is the best measure?
a
surface area
b
area
c
volume
Answers
Answer:
C. Area
hope this helped
HELP!!!!A fish tank that is shaped like a rectangular prism holds 5600cm3 of water. When it is ¾ of the way full, Mike drops 25 identical stones into the water. 180 cm3 of water spill from the tank. What is the volume of each stone?
Answers
Answer: 63.2 cm³
Step-by-step explanation:
The tank was 3/4 filled up when the stones were dropped in. This means that the stones had to first get the water level to 4/4 before it could begin to spill. Then after it spilled, it still spilled 180 cm³ of water.
This means that the stones took 1/4 of the total prism and then 180 cm³ as well.
The volume of the 25 identical stones is therefore:
= (5,600 * 1/4) + 180
= 1,580 cm³
The volume of each individual stone is:
= 1,580 / 25
= 63.2 cm³
The cost of hiring a plumber is shown by the equation � = 100� + 75, where n is the number of hours
worked, and C is the total cost to hire the plumber. The plumber wants to earn at least $200 per job,
and will work for a maximum of 6 hours for each job.
(a) What is the minimum and maximum number of hours that the plumber will work?
Answers
Answer:
The minimum number of hours the plumer can work is 1 hour and 15 minutes and the maximum number of hours is 6.
Step-by-step explanation:
thank you guys for helping me but i still need help -^-
Answers
Answer:
x = 25
Step-by-step explanation:
(4x - 17) + 36 + 61 = 180
(4x - 17) + 97 = 180
4x - 17 = 83
4x = 100
x = 25
Have a nice day!
Answer:
x = 25
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
4x - 17 + 61 + 36 = 180
4x + 80 = 180 ( subtract 80 from both sides )
4x = 100 ( divide both sides by 4 )
x = 25
a=1/2(a+b)h work out the value of A when a=7, b=6 and h=10
Answers
Answer:
A = 65
Step-by-step explanation:
A = 1/2(7+6)·10
A = 5(7+6)
A = 5(13)
A = 65
A bunch of ballons contains many different colors. red 17 purple 11 orange 3 green 1 yellow 2 What is the probability that a randomly selected balloon will be red? Write your answer as a fraction or whole number.
Answers
Answer: 1/2
Step-by-step explanation:
Number of red balloons = 17
Number of purple balloons = 11
Number of orange balloons = 3
Number of green balloons = 1
Number of yellow balloons = 2
Total number of balloons = 34
The probability that a randomly selected balloon will be red will be:
= Number of red balloons/Total number of balloons
= 17/34
= 1/2
Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.
Answers
Answer:
a) y = (x + 1)^2 - 3
b) minimum
c) (-1, -3)
Step by step:
We start with the equation:
y = x^2 + 2*x - 2
First, we want to complete the square to write the equation in the vertex form.
y = (x - h)^2 + k
Such that the vertex is (h, k)
To complete the square, we can write this as:
y = x^2 + 2*1*x - 2
Now we can add and subtract 1
y = x^2 + 2*1*x + 1 - 1 - 2
y = (x^2 + 2*1*x + 1) - 3
The thing inside the parentheses can be written as:
x^2 + 2*1*x + 1 = (x + 1)^2
Then the quadratic equation will be written as:
y = (x + 1)^2 - 3
This is the vertex form.
b) Now we want to know if the vertex is a minimum or a maximum.
Remember that the leading coefficient tells use if the graph of the function opens up or down.
If the leading coefficient is positive, the graph opens up (then the vertex is a minimum)
If the leading coefficient is negative, the graph opens down (then the vertex is a maximum)
In this case, we can write:
y = 1*(x + 1)^2 - 3
The leading coefficient is 1, positive.
Then the vertex is a minimum.
c) The coordinates of the vertex are:
Remember that in the vertex form:
y = (x - h)^2 + k
the vertex is (h, k)
Then the vertex of our equation is:
(-1, - 3)
Bella wants to buy blueberries and raspberries to make a fruit tart. Blueberries cost $3.75 per pound and raspberries cost $2.75 per pound. How much does she spend if she buys 3 pounds of blueberries and 1.5 pounds of raspberries? How much does she spend if she buys xx pounds of blueberries and yy pounds of raspberries?
Answers
Answer:
a) 15.375
B) at a minimum 65 dollars
Step-by-step explanation:
part one you multiply the pound by the price and get your answer and part 2 its a double digit number so you find the minimum
Which expression has a value of 12?
F. 4 x 12 = 3 - (18 – 9) X
G. 18+ (9 X 4+ 12) = 3
H. 9• 3 x 12 - 18 - 1
J. 9 + (18 x 4 = 12) - 3
Answers
Answer:
H i think hope it helps you
thank you
Casey spends $29.00 on coffee each month. About how much dose Casey spend on coffee over 7 months ?
Answers
Answer:
203 dollars
Step-by-step explanation:
29 x 7
Geometry questionnn! Please help :)
Answers
Answer:
8 and 1 third.
Step-by-step explanation:
If the volume of a sphere is 36pi cubic units, what is the radius?
- 4 square root 3 units
- 9 units
- 3 units
Answers
Answer:
3 units
Step-by-step explanation:
I'm not sure how to explain it but I hope it helps.
PLZ HELP QUICK!!!
Does the data provide statistical evidence that women pay more than men for the same catalytic converter repair?
Answers
Answer:
Yes,the data provide convincing statistical evidence that at women pay more than men for the same catalytic converter repair