Find the sum of the first 31 terms of the following series, to the nearest integer.
5,14,23,..

Answers

Answer 1

Answer:

Step-by-step explanation:

5+14 is 19

19+23 is 4242


Related Questions

reduce to simplest form -1/3-(-3/5)

Answers

Answer:

4/15

Step-by-step explanation:

-1/3-(-3/5)

Subtracting a negative is like adding

-1/3 + 3/5

We need to get a common denominator of 15

-1/3 *5/5    + 3/5 *3/3

-5/15     + 9/15

4/15

Answer:

4/15

Step-by-step explanation:

-1/3 + 3/5 (2 negatives make a positive)

Taking the lowest common multiple, we get:

= (- 5 + 9)/15

= 4/15

Hope this helps!

Solve for the missing value x 3:9=x:81

Answers

Answer:

x=27

Step-by-step explanation:

So let's look at the ratio

3:9

x:81

x is proportional to 3 the same way that 81 is to 9

How would we get 9 to 81?

We would multiply by 9

So what is 3*9?

27

How many dimes are in $25.00

Answers

Answer:

250 dimes

Step-by-step explanation:

Answer: 250 dimes

Explanation: dime = 10 cents, and 100 cents = one dollar. Therefore, 10 cents (a dime) times 10 = a dollar, which is 100 cents. 100 times 25 dollars = 250. So, 250 dimes are in $25.

Hope this helps, please mark as brainliest!

What is the area of the figure in the picture?

Answers

Answer:

[tex]26.14yd^2[/tex]

Step-by-step explanation:

Triangle

[tex]A=\frac{h_bb}{2} \\=\frac{4*6}{2} \\=12yd^2\\\\A=\frac{1}{2} \pi r^2\\=\frac{1}{2} \pi 3^2\\=14.14yd^2\\\\12+14.14=26.14yd^2[/tex]

Answer:

Step-by-step explanation:

The area of a circle knowing the diameter is 28.2743, now divide between 2: 14,13715

Now the area of the triangle give us: 9.238

9.238 + 14,13715 = 23.37515

The procedure is in the images

App used: CalculateMyFigure

.Two year ago my age was x years, then what was my age 5 years ago?
(1 Point)
x + 7
x -2 - 5
x - 5
x - 3

Answers

X-5 is the correct one I think

The diameter of a circle is 40 m. Find the area of the circle in terms of π. 40π m2 80π m2 400π m2 160π m2

Answers

Answer:

[tex]400\pi m^2[/tex]

Step-by-step explanation:

If the diameter is 40, the radius is 20.

The area is 400π

Use the graphing calculator to graph the function f(x) = –StartRoot x EndRoot. Which list contains three points that lie on the graph of the function? (–9, 3), (–4, 2), (–1,1) (1,1), (4, 2), (9, 3) (–9, –3), (–4, –2), (–1,–1) (1,–1), (4, –2), (9, –3)

Answers

Answer:

(1,–1), (4, –2), (9, –3)

Step-by-step explanation:

In the picture attached, the plot of the function f(x) = -√x is shown.

To verify which points lie on the line we compute the following table.

x    √x    f(x) = -√x

1     1        -1

4    2       -2

9    3       -3

The points which lie on the graph will be (1,–1), (4, –2), and (9, –3) so the correct answer is option D.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

In the picture attached, the plot of the function f(x) = -√x is shown. To verify which points lie on the line we compute the following table.

x    √x    f(x) = -√x

1     1        -1

4    2       -2

9    3       -3

We can see that the above points are satisfying the function. Therefore points that lie on the graph will be (1,–1), (4, –2), and (9, –3) so the correct answer is option D.

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Simplify the expression.
5^2 - 4 x 4

Answers

The answer would be 13!

Answer:

Simplified equation: 25 - 16=9

Step-by-step explanation:

Evaluate the power

25 - 4 * 4

Multiply the numbers

25 - 16

Subtract the numbers

9

A water trough is 8 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 100 cm wide at the top, and has height 60 cm. If the trough is being filled with water at the rate of 0.1 m3/min how fast is the water level rising when the water is 30 cm deep?

Answers

Answer:

1.785 cm / min

Step-by-step explanation:

We have to the following equation:

V = A * L

The volume is equal to the area times the length, now, if we derive with respect to time we have:

dV / dt = dA / dt * L

Now, the area of a trapezoid is:

A = (Upper base + Lower base) / 2 * height

Now we have:

Upper base = 40 + h

Lower base = 40

Replacing we have:

A = (40 + h + 40) / 2 * h

A = (h ^ 2) / 2 + 40 * h

Now, we derive and we are left:

dA / dt = d [(h ^ 2) / 2 + 40 * h] / dh * dh / dt

dA / dt = (h + 40) * dh / dt

we replace dA / dt:

dV / dt = [(h + 40) * dh / dt] * L

We have that dV / dt is equal to 0.1 m ^ 3 / min, we know that 1m ^ 3 is equal to 10 ^ 6 cm ^ 3, therefore:

dV / dt = 10 ^ 5 cm ^ 3 / min

in addition L is equal to 8 m or what is equal to 800 cm, and also h at the required moment is 30 cm

we replace everything and we have:

10 ^ 5 = 800 * (30 +40) * dh / dt

dh / dt = 10 ^ 5/56000

dh / dt = 1.785 cm / min

Identify a pattern in this list of numbers. Then use this pattern to find the next number.​ (More than one pattern might​ exist, so it is possible that there is more than one correct​ answer.) 3​, 5​, 9​, 15​, 23​, 33​, ​_____

Answers

Answer:

a)   45

The sequence  3 , 5, 9 , 15 , 23 , 33 , 45

Step-by-step explanation:

Given The sequence  3 , 5, 9 , 15 , 23 , 33

First term = 3

Add 2  of first term  

Second term  = 3 +2 = 5

Add 4  of second term  

Third term = 5 + 4 = 9

Add 6  of Third term  

Fourth term  = 9 + 6 = 15

Add 8 of  fourth term

fifth term = 15 + 8 = 23

Add 10 of fifth term

sixth term = 23 + 10 = 33

Add 12 of sixth term

seventh term = 33 +12 = 45

Final answer:-

Now the sequence   3​, 5​, 9​, 15​, 23​, 33​, ​__45___

Find the mode of this data.
2, 8, 14, 7, 8, 13, 2, 20, 8, 17
A. 8
B.
13
C.
7
D.
17

Answers

The mode of the data is A. 8

Raj takes a taxi to the airport. He expects the taxi to travel at an average speed of 40 mph. The distance from Raj's house to the airport is 30 miles. If Raj's taxi actually travels at an average speed of 30 mph, how many more minutes does the journey take than expected?

Answers

Answer:

15 minutes more, as 60-45mins = 15 minutes

Step-by-step explanation:hope it helps

It will take 15 more minutes for the journey than the expected.

What is Speed?

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Given that,

The distance from Raj's house to the airport is 30 miles.

He expects the taxi to travel at an average speed of 40 mph.

If he travels at a speed of 40 mph, let t be the time taken.

Speed = Distance / Time

40 = 30 / t

t =  = 0.75 hours = 45 minutes

If Raj's taxi actually travels at an average speed of 30 mph, let t' be the time taken.

30 = 30 / t'

t' = 1 hour = 60 minutes.

t' - t = 60 - 45 = 15 minutes

Hence the journey takes 15 more minutes than expected.

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i) A fish tank measures 1m long by 40cm wide and 60cm height.
What is the capacity of the fish tank?
ii) How many litres of water does it take to fill it three quarters full ?


Answers

Answer:

1. The capacity of the water tank = 240 litres

2. So it will take 180 litres to fill it three quarters full.

Step-by-step explanation:

Dimensions of a water tank:

1 Meter=100 CM

Length (l) = 100 cm,

wide (w) = 40 cm,

Depth (h)= 60 cm,

Volume of the tank (V)

LWH

100 cm × 40 cm × 60 cm

240,000 cm³

The capacity of the water tank = 240,000 cm³ / 240 litres

(240,000*3)/4 = 180,000 cm3

So it will take 180 litres to fill it three quarters full.

let g(x)=3x+2. Find g(x) if x=5. The value of g(x) is ____ if X=5

Answers

Answer:

g(5)=17

Step-by-step explanation:

g(x)=3x+2

Let x = 5

g(5) = 3*5+2

      = 15+2

      = 17

Answer:

17

Step-by-step explanation:

Just substitute 5 into the position of X

What is the area, in square units, of the parallelogram shown below? A parallelogram ABCD is shown with height 9 units and base 7 units.

A. 21 square units
B. 56 square units
C. 63 square units
D. 81 square units

Answers

Answer: 63 square units

Step-by-step explanation:

Area of a parellelogram = b x h

7 x 9 = 63 square units

Answer:

63

The triangle can be moved to the other side making the parallelogram a rectangle with a length and width of 7 and 9

7 x 9 = 63

Step-by-step explanation:

Please help! Read the question down below!

Answers

4 ( times ) 6 = 24 ——> 3 trips and 6 buckets
that leaves us with —-> 1 trip and 2 buckets
24 ( minus ) 30 = 6
3 ( times ) 2 = 6 ——> 1 trip and 2 buckets

A smart-phone is thrown upwards from the top of a 240-foot building with an initial velocity of 32
feet per second. The height h of the smart-phone after t seconds is given by the quadratic equation
h = - 16t2 + 32t + 240. When will the smart-phone hit the ground?

Answers

Answer:

t = 5 sec

Step-by-step explanation:

h = - 16t² + 32t + 240

On the ground h = 0.

- 16t² + 32t + 240 = 0 / : (- 16)

t² - 2t - 15 = 0

(t-5)(t+3) = 0

t = 5, t = - 3

Time can be only positive, so t = 5 sec

Find the area of the trapezoid.

Answers

Answer:

40cm^2

Step-by-step explanation:

A=a+b/2×h

A=6+10/2*5

A=16cm/2*5cm

A=8cm*5cm

A=40cm^2

The smallest number by which 192 should be multiplied to make it a perfect cube is __

Answers

Answer: 9

Step-by-step explanation:

192 * 9 = 1728

Cube root of 1728 is 12

HELPPPPP ASAPPPPP 30 pointsss!!!!!
A It is lunch time at I.S. 237 and the table below lists the lunches that have
been served so far. Based on the results in the table, what is the
probability the next student will choose pizza?

Answers

Answer:

3/10

Step-by-step explanation:

The exponent in “8n5” is:

Answers

Answer:

The exponent in "8n^5" is 5. We already know that the base is 8 and the variable is n, so that leaves the exponent to be 5. Hope this helps! Good luck on your assignment! (Brainliest would be appreciated if possible)

80 POINTS!!!!

The table shows how much Eric earns for pruning trees. Write an equation that relates t, the number of trees Eric prunes to p, the amount he earns. Solve your equation to find how much Eric earns if he prunes 7 trees.

Answers

Answer:

Equation: 15t

Solution: 105

Step-by-step explanation:

You multiply 15 and 7 to get your solution.

please answer neat will mark brain.

Answers

Answer:

9.110° and y are the same(alternate angles)

thus y=110°. 110+x=180(seplementary angles). thus x=180-110=70°

z(alternate)=70°

10.y=78°. x=(180-78)=102°. z=102°

11.x=83°. y=(180-83)=97°. z=97°

12.y=37°. x=(180-37)=143. z=143°

to confirm the answers all angles in a circle at the centre add up to 360°

The figure shows a carpeted room. How many square feet of the room is carpeted?

Answers

Answer:

40

Step-by-step explanation:

So split it into two shapes. Two rectangles.

Rectangle 1 = 4 * 5 = 20

Rectangle 2 = 2 * 10 = 20

20 + 20 = 40

Answer:

40 square feet

Step-by-step explanation:

we can cut the carpeted space into 2 parts for easier calculation.

we can do 4 x 5 to find the first part, which equals to 20 square feet.

then, to find the side length of the left over rectangle, you can do 6 - 4, making it the length of the side length, which is 2. then all you must do is multiply 2 by 10, which also equals to 20 square feet.

Just add up both of the calculations(20 +20) then you'll get your answer!

the answer is 40 square feet.

Hope this helps and you understand now!

Answer the statistical measures and create a box and whiskers plot for the following set of data. You may optionally click and drag the numbers into numerical order.
3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17
3,4,5,6,6,7,7,12,13,14,14,15,15,16,17
Min:
Q1:
Med:
Q3:
Max:

Answers

The answer is quite simple really. Min: 3

For the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

What is box and whiskers plot?

Box and wishkers plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.

The minimum and the maximum values in the box plot is plotted at the end points.

The following set of data which i s given in the problem.

3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17

Min: 3

The minimum value in the given data is 3. Thus, the min is 3.

Q1:6

First quartile appears at 6. Thus, the value of Q1 is 6.

Med:12

The middle value of the given data is 12 which appears at the center of all the values. Thus the med is 12.

Q3:14.5

Second quartile appears at 14.5. Thus, the value of  second quartile Q2 is 6.

Max: 17

The minimum value in the given data is 17 as shown in the image attached below. Thus, the min is 17.

Hence, for the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

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So this isn’t a test I just want to make sure I’m writing this correctly.

I have written 2x-18=-2y+12
Then I added 18 is that correct so far.

Answers

Answer:

[tex]3[/tex]

Step-by-step explanation:

[tex]2x-18=-2y+12[/tex]

[tex]y=12[/tex]

[tex]2x-18=-2(12)+12[/tex]

[tex]2x-18=-24+12[/tex]

[tex]2x-18=-12[/tex]

[tex]2x-18+18=-12+18[/tex]

[tex]2x=6[/tex]

[tex]\frac{2x}{2} =\frac{6}{2}[/tex]

[tex]x=3[/tex]

Answer:

x = 3

Step-by-step explanation:

=> 2x-18 = -2y+12

Given that y = 12

Putting in the above equation to get the value of x

=> 2x-18 = -2(12)+12

=> 2x-18 = -24+12

=> 2x-18 = -12

Adding 18 to both sides

=> 2x = -12+18

=> 2x = 6

Dividing both sides by 2

=> x = 3

The formula for finding the surface area of a triangular prism is SA = 2 B + Ph . TrueFalse PLZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPP MMMMMMMMMMMMEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEe

Answers

Answer:

The Surface Area = 2 B + p h. So True

Step-by-step explanation:

graph each linear equation y equals negative 3x - 2​

Answers

Answer: y=-(3x-2)= -3x+2

The intercept with y is 2

The intercept with x is 2/3

view the attached image for the graph.

How many seed pockets are there ?

Answers

Each seed packet can grow 6 flowers. So she needs 3 packets to grow 18 flowers.

Find the value of y.

Answers

for this question you would need to utilize ratios to find the side lengths. For example, set up a ratio between the big triangle with the small triangle to find a side length

Answer:

Step-by-step explanation:

DB=√(y²-25)

again DB=√(x²-36)

so √(y²-25)=√(x²-36)

squaring

y²-25=x²-36

x²=y²-25+36

or x²=y²+11

also x²+y²=(6+5)²

x²+y²=121

y²+11+y²=121

2y²=121-11

2y²=110

y²=110/2=55

y=√55

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