What is the next term in the pattern? 15, 16, 18, 21, 25, …

QUESTION POSTED AT 19/08/2019 - 05:51 PM

Related questions

A spherical balloon with radius r inches has volume defined by the function below. Find a function that represents the amount of air required to inflate the balloon from a radius of r inches to a radius of r + 4 inches. (Give the answer in terms of π and r.)

v = 4/3*pi*r^3

derivating both sides with respect to t 
dv/dt = 4*pi*r^2*dr/dt
 
when d = 1.7, r = 0.85, and dv/dt = 2:
2 = 4*pi*(0.85)^2*dr/dt
 
thus
dr/dt = 1/(2pi*(0.85)^2)
        =1/(2*3.14*0.85^2)
        =0.22

ANSWERED AT 23/09/2019 - 04:32 AM


QUESTION POSTED AT 23/09/2019 - 04:32 AM

In a particular class of 23 students, 18 are men. what fraction of the students in the class are men?k

It gave you the answer for men they said their were 18 men out of 23 so are they asking for women or actually men cause if it was that it would be 18/23

ANSWERED AT 23/09/2019 - 04:32 AM


QUESTION POSTED AT 23/09/2019 - 04:32 AM

Collect like terms (a+3b+5a-2+b)

A + 5a= 6a
3b + b= 4b
Solution: 6a + 4b

ANSWERED AT 23/09/2019 - 04:31 AM


QUESTION POSTED AT 23/09/2019 - 04:31 AM

Describe the pattern below then find the next two numbers 547 54.7 5.47 is 0.547

0.0547 you are dividing the numbers by 10 each time.

ANSWERED AT 23/09/2019 - 04:30 AM


QUESTION POSTED AT 23/09/2019 - 04:30 AM

Describe the pattern below then find the next two numbers 547 54.7 5.47 0.547

Divide each number by 10 if the problem is :
547 54.7 5.47 0.547

Times each number by 10 if the problem is :
0.547 5.47 54.7 547

Hope this helped :)

ANSWERED AT 23/09/2019 - 04:30 AM


QUESTION POSTED AT 23/09/2019 - 04:30 AM

I need help on #16 plz help me :-/i

Hope this helps. let me know if you need any further assistance.

ANSWERED AT 23/09/2019 - 04:29 AM


QUESTION POSTED AT 23/09/2019 - 04:29 AM

Which is cheaper for a $56 item that cost $9.25 to ship. A 15% coupon off the cost of the item or free shipping

15% coupon. off the cost of the item

ANSWERED AT 23/09/2019 - 04:28 AM


QUESTION POSTED AT 23/09/2019 - 04:28 AM

Use the explicit formula an = a1 + (n - 1) • d to find the 500th term of the sequence below.24, 30, 36, 42, 48, ...

A=24
d=6
n=500

an=24+(500-1)6
an=24+(499x6)
an=24+2994
an=3018

ANSWERED AT 23/09/2019 - 04:27 AM


QUESTION POSTED AT 23/09/2019 - 04:27 AM

What's the least common multiple of 15 and 75

I looked it up accouple times and all the answers say it is 75

ANSWERED AT 23/09/2019 - 04:26 AM


QUESTION POSTED AT 23/09/2019 - 04:26 AM

Braden has 10 red model cars, which are 2/5 of the total number of cars in his collection. How many cars does Braden have in his collection? A) 4 B) 10 C) 25 D) 50

25 cars, because if 10 cars = 2/5 of his collection that means 5 cars are 1/5. Since 1/5 x 5 = 1, that means there are 25 cars in his collection. (5x5 = 25)

ANSWERED AT 23/09/2019 - 04:25 AM


QUESTION POSTED AT 23/09/2019 - 04:25 AM

How to find percent of change#16

To calculate the percentage increase: First: work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. If your answer is a negative number then this is a percentage decrease.

ANSWERED AT 23/09/2019 - 04:25 AM


QUESTION POSTED AT 23/09/2019 - 04:25 AM

Enter the ratio as a fraction in the lowest terms (no decimals) 0.03:0.5

3. 1
----- : -----
100. 2

ANSWERED AT 23/09/2019 - 04:25 AM


QUESTION POSTED AT 23/09/2019 - 04:25 AM

You are given the table below. x 4 8 12 16 20 f(x) 11 25 16 9 31 Use the table and n = 4 to estimate the following. Because the data is not monotone (only increasing or only decreasing), you should sketch a possible graph and draw the rectangles. 20 (integral) f(x)dx 4

Solution:

X      4      8       12       16          20

F(x)   11      25      16       9           31

A function is said to be increasing if , x_{1}> x_{2}, then f(x_{1})>f(x_{2}) {\text{and decreasing if } x_{1}> x_{2}, then f(x_{1})<f(x_{2}).

As you can see from the table given as x increases , f(x) increases as well as decreases.

So it is increasing as well as decreasing function.

Now plotting the graph on two dimensional coordinate plane and drawn perpendicular from these points on X axis.

\int_{4}^{20}f(x)dx=\int_{4}^{8}f(x)dx+\int_{8}^{12}f(x)dx+\int_{12}^{16}f(x)dx+\int_{16}^{20}f(x)dx

Equation of line joining two points (x_{1},y_{1}), and (x_{2},y_{2}) is \frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Equation of line joining two points (4,11) and (8,25) is

4(y-11)=14(x-4)

4 y -44 = 14 x -56

4 y = 14 x -12

y= \frac{7x}{2}-3 --------(1)

Area under line (1) is

\int_{4}^{8}f(x)dx=\int_{4}^{8}(\frac{7x}{2}-3) dx=\frac{7x^2}{4}-3x\left \{ {{x=8} \atop {x=4}} \right. =112-24-28+12=72

Equation of line joining (8,25) and (12,16) is

4(y-25 )= -9(x-8)

4 y - 100= -9 x + 72

4 y = -9 x + 172

y = \frac{-9x}{4} +43--------(2)

Area under line 2 is

\int_{8}^{12}f(x)dx=\int_{8}^{12}(\frac{-9x}{4} +43)dx=\left \{ {{x=12} \atop {x=8}}   \frac{-9x^2}{8} +43x = -162 +516+72-344=82

Equation of line joining (12,16) and (16,9) is

-4(y-16) = 7(x-12)

-4 y + 64= 7 x -84

-4 y = 7 x -148

y = \frac{-7x}{4} +37-----------(3)

Area under the line 3 is

\int_{12}^{16}f(x)dx=\int_{12}^{16}(\frac{-7 x}{4} +37)dx=\left \{ {{x=16} \atop {x=12}}   \frac{-7x^2}{8} +37 x = -224 +592+126-444=50

Equation of line joining (16,9) and (20,31) is

4(y-9) = 22(x-16)

4 y - 36 = 22 x - 352

4 y = 22 x - 316

y= \frac{11x}{2}-79---------(4)

Area under the line 4 is

\int_{16}^{20}f(x)dx=\int_{16}^{20}(\frac{11 x}{2} -79)dx

=\left \{ {{x=20} \atop {x=16}}   \frac{11x^2}{4} -79 x = 1100-1580-704+1264=2364-2284=80


Total Area = Area under the line (1+2+3+4)

=\int_{4}^{20}f(x)dx=\int_{4}^{8}f(x)dx+\int_{8}^{12}f(x)dx+\int_{12}^{16}f(x)dx+\int_{16}^{20}f(x)dx

= 72 +82+50+80

= 284 square units

You can find area using the formual of area of trapezoid which is = \frac{1}{2}[Sum of parallel sides]× [perpendicular distance between them]

ANSWERED AT 23/09/2019 - 04:25 AM


QUESTION POSTED AT 23/09/2019 - 04:25 AM

How many terms are in the exspression 2x+3y-4z

There are 3 terms in you math subjected question, hope this helps!

ANSWERED AT 23/09/2019 - 04:24 AM


QUESTION POSTED AT 23/09/2019 - 04:24 AM

Which number is a factor of 18 but not a multiple of 3?

1 and 2 are both factors of 18 but not multiples of 3 .

ANSWERED AT 23/09/2019 - 04:24 AM


QUESTION POSTED AT 23/09/2019 - 04:24 AM

Make This Division Sentence True: _____ / _____ = 25 Reminder 7

107/4 equals 25 remainder 7

ANSWERED AT 23/09/2019 - 04:23 AM


QUESTION POSTED AT 23/09/2019 - 04:23 AM

21 = m + 9; m= 11 solution

21-9=12
M=12
12 +9=21
your answer is M=12

ANSWERED AT 23/09/2019 - 04:23 AM


QUESTION POSTED AT 23/09/2019 - 04:23 AM

25/75 in lowest terms

You can divide both by 25

Leaving,

1/3

ANSWERED AT 23/09/2019 - 04:22 AM


QUESTION POSTED AT 23/09/2019 - 04:22 AM

Scott's bill for brunch at a restaurant was $17. He left an 18% tip. What was the total cost of his brunch,including tip?

17 times 18/100 = 3.06
The total cost of his brunch including tip is 17+3.06 =$20.06   
which is 20 dollar and 6 cents

ANSWERED AT 23/09/2019 - 04:21 AM


QUESTION POSTED AT 23/09/2019 - 04:21 AM

Equivalent ratios to 16:12 and 12:16

It is 36:24 and 24:36, as what I know of

ANSWERED AT 23/09/2019 - 04:21 AM


QUESTION POSTED AT 23/09/2019 - 04:21 AM

A store pays $25 for a desk chair. The store marks up the price by 40% . What is the new price?

25 x (40/100) = x
x = $10

So the 40% is $10
THUS, 25+10 = 35
Hence, the new price is $35

ANSWERED AT 23/09/2019 - 04:19 AM


QUESTION POSTED AT 23/09/2019 - 04:19 AM

How can you tell when a pattern shows counting on by 10

If you see a zero that means that you are counting by 10s For example: 10,20,30,40,50,60,70,80

ANSWERED AT 23/09/2019 - 04:19 AM


QUESTION POSTED AT 23/09/2019 - 04:19 AM

If the pattern shown continues how many black keys appear on an organ with a total of 240 keys

240 is probably multiplied some other number if theres another number on there to multiply or divide by.

ANSWERED AT 23/09/2019 - 04:18 AM


QUESTION POSTED AT 23/09/2019 - 04:18 AM

What percent of 64 is 16?

16          x
----  =    ----
64        100
Then do cross multiply to get 1600 = 64x
Then divide both sides by 64
So the answer is 25%

ANSWERED AT 23/09/2019 - 04:16 AM


QUESTION POSTED AT 23/09/2019 - 04:16 AM

R+2<15=? solve for r

All you have to do here is subtract 2 on both sides to isolate R.

R + 2 < 15
R < 13

ANSWERED AT 23/09/2019 - 04:13 AM


QUESTION POSTED AT 23/09/2019 - 04:13 AM