1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
son4ous [18]
3 years ago
13

Find the first,fourth,and tenth terms of the arithmetic sequence described by the given rule. A(n) = 12+(n-1)(3)

Mathematics
1 answer:
zhuklara [117]3 years ago
4 0
The answers are:
the first term: 21
the fourth term: 22
the tenth term: 39

<span>A(n) = 12+(n - 1)(3)

n = 1
A(1) = 12 + (1 - 1)(3) = 12 + 0*3 = 12 + 0 = 12

n = 4
</span>A(4) = 12 + (4 - 1)(3) = 12 + 3*3 = 12 + 9 = 21

n = 10
A(10) = 12 + (10 - 1)(3) = 12 + 9*3 = 12 + 27 = 39
You might be interested in
Test scores: Scores on a statistics exam had a mean of 75 with a standard deviation of 5. Scores on a calculus exam had a mean o
beks73 [17]

Answer:

CV for statistics exam = 15%

CV for calculus exam = 19%

Since the CV for calculus exam is higher, it has a greater spread relative to the mean than the statistics exam.

Step-by-step explanation:

To find coefficient variation we use the formula:

CV = (SD/mean) * 100

CV for the statistics exam:

where; SD= 5

mean= 75

CV = ( 5/75) *100

= 0.15 or 15%

CV for calculus exam

SD = 11

Mean= 58

CV= (11 /58) * 100

= 0.19 or 19%

8 0
3 years ago
1 Point
I am Lyosha [343]

Option C

The ratio for the volumes of two similar cylinders is 8 : 27

<h3><u>Solution:</u></h3>

Let there are two cylinder of heights "h" and "H"

Also radius to be "r" and "R"

\text { Volume of a cylinder }=\pi r^{2} h

Where π = 3.14 , r is the radius and h is the height

Now the ratio of their heights and radii is 2:3 .i.e  

\frac{\mathrm{r}}{R}=\frac{\mathrm{h}}{H}=\frac{2}{3}

<em><u>Ratio for the volumes of two cylinders</u></em>

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{\pi r^{2} h}{\pi R^{2} H}

Cancelling the common terms, we get

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{\mathrm{r}}{R}\right)^{2} \times\left(\frac{\mathrm{h}}{\mathrm{H}}\right)

Substituting we get,

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\left(\frac{2}{3}\right)^{2} \times\left(\frac{2}{3}\right)

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{2 \times 2 \times 2}{3 \times 3 \times 3}

\frac{\text {Volume of cylinder } 1}{\text {Volume of cylinder } 2}=\frac{8}{27}

Hence, the ratio of volume of two cylinders is 8 : 27

7 0
3 years ago
Describe the diagram below using correct geometric names
bagirrra123 [75]
Angles PQT and RQS are vertical angles and angles PQR and TQS are vertical angles.

angle PQS and TQR are straight angles

angles TQP and PQR form a linear pair. they are also adjacent by default. the other angles have these same features.

that should bout do it. hope it helped!
7 0
3 years ago
For 30 minutes you do a combination of walking and jogging. At the end of your workout your pedometer displays a total of 2.5 mi
yKpoI14uk [10]
Walking for 10 minutes
4 0
3 years ago
I NEED HELP!!<br>answer from the image below <br><br>m∠BCD =
nevsk [136]

Answer:

28 degrees

Step-by-step explanation:

If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.The corresponding angles are the ones at the same location at each intersection.

In the figure ABD and EDF are corresponding angles. So they are equal

So equation the angle ABD and EDF , we get

(3x+4) = (7x-20)

Group the like terms,

3x-7x = -20-4

-4x = -24

x = \frac{-24}{-4}

x = 6

Thus BCD will be,

(6x - 8)

=>(6(6)-8)

=>(36-8)

=> 28 degrees

4 0
3 years ago
Other questions:
  • What is 19 percent as a decimal
    9·2 answers
  • Which expression is equivalent to 2(3g-4) - (8g +3)
    5·1 answer
  • Celery is on sale at both Greg's market in the veggie emporium at Greg's market a 5 pound bag of celery cost $2.85 and a veggie
    5·2 answers
  • Plssssss help me with this math pls
    15·1 answer
  • 9n + 1 word phrase algebraic expression
    13·2 answers
  • The life span of a battery is the amount of time the battery will last. The distribution of life span for a certain type of batt
    13·1 answer
  • Rearrange 2x = y/w to make w the subject​
    7·1 answer
  • PLEASE HELP JESUS I DONT UNDERSTAND
    11·2 answers
  • Solve for L:<br> P=2L+2W
    14·1 answer
  • 40 Points!!!<br> What are the domain and the range of this function?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!