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
galben [10]
2 years ago
13

Solve: S=1/2(a+b)x please provide steps

Mathematics
1 answer:
DochEvi [55]2 years ago
8 0

Answer:

Remove parentheses.

s

=

1

2

⋅

(

(

a

+

b

)

x

)

Remove parentheses.

s

=

1

2

⋅

(

(

a

+

b

)

x

)

Simplify

1

2

⋅

(

(

a

+

b

)

x

)

.

Apply the distributive property.

s

=

1

2

⋅

(

a

x

+

b

x

)

Apply the distributive property.

s

=

1

2

(

a

x

)

+

1

2

(

b

x

)

Multiply

1

2

(

a

x

)

.

s

=

a

x

2

+

1

2

(

b

x

)

Multiply

1

2

(

b

x

)

.

s

=

a

x

2

+

b

x

2

Step-by-step explanation:

You might be interested in
What's simple random sampling? Is it possible to sample data instances using a distribution different from the uniform distribut
topjm [15]

Answer:

The answer is below

Step-by-step explanation:

The procedure of selecting a sample is thus called, fulfilling two fundamental properties:

-All individuals in the population have the same probability of being elected.

-All samples of the same size are equally likely.

From a mathematical point of view, simple random sampling is performed assuming that the population has infinite elements. In practice, it is often the case that the populations to be considered have a very large number of elements, which can be compared to a situation with infinite elements.

Yes, it is possible to sample data instances using a distribution different from the uniform distribution.

In excel, do the following to obtain a sample dataset.

E.g. to create a 5 element sample from the standard normal distribution, place the formula = NORM.S.INV (RAND ()) in cell A1, highlight the range A1: A15 and press Ctrl-D.

4 0
3 years ago
Determine the area enclosed by y=2x+3, the x-axis and the ordinates x=3 and x=4​
jok3333 [9.3K]

Answer:

\displaystyle \int\limits^4_3 {2x + 3} \, dx = 10

General Formulas and Concepts:
<u>Calculus</u>

Integration

  • Integrals

Integration Rule [Reverse Power Rule]:                                                           \displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C

Integration Rule [Fundamental Theorem of Calculus 1]:                                 \displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)

Integration Property [Multiplied Constant]:                                                     \displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx

Integration Property [Addition/Subtraction]:                                                   \displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx

Area of a Region Formula:                                                                               \displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

y = 2x + 3

<em>x</em>-interval [3, 4]

<em>x</em>-axis

<em>See attachment for graph.</em>

<u>Step 2: Find Area</u>

  1. Substitute in variables [Area of a Region Formula]:                               \displaystyle A = \int\limits^4_3 {2x + 3} \, dx
  2. [Integral] Rewrite [Integration Property - Addition/Subtraction]:           \displaystyle A = \int\limits^4_3 {2x} \, dx + \int\limits^4_3 {3} \, dx
  3. [Integrals] Rewrite [Integration Property - Multiplied Constant]:           \displaystyle A = 2 \int\limits^4_3 {x} \, dx + 3 \int\limits^4_3 {} \, dx
  4. [Integrals] Integrate [Integration Rule - Reverse Power Rule]:               \displaystyle A = 2 \bigg( \frac{x^2}{2} \bigg) \bigg| \limits^4_3 + 3(x) \bigg| \limits^4_3
  5. [Integrals] Integrate [Integration Rule - FTC 1]:                                       \displaystyle A = 2 \bigg( \frac{7}{2} \bigg) + 3(1)
  6. Simplify:                                                                                                     \displaystyle A = 10

∴ the area bounded by the region y = 2x + 3, x-axis, and the coordinates x = 3 and x = 4 is equal to 10.

---

Learn more about integration: brainly.com/question/26401241

Learn more about calculus: brainly.com/question/20197752

---

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

3 0
2 years ago
Teagan was playing Trouble and recorded the number
almond37 [142]

Answer:

20%

Step-by-step explanation:

Think about it. 100 divided by 25 is four so just multiply 5 times 4 and you got 20. giving you the probability of 20%. Your Welcome! And I'm not a genius it's just simple math.

4 0
3 years ago
40 points! Find the distance UV between the points U(2,−2) and V(−5,−3). Round your answer to the nearest tenth, if necessary.
puteri [66]

Answer:

7.1

Step-by-step explanation:

Using the distance formula

d = sqrt (  (x2-x1)^2 + ( y2-y1)^2)

    sqrt (  (-5-2)^2 + ( -3- -2)^2)

    sqrt(   ( -7)^2  + ( -3 +2)^2)

   sqrt(   ( 49  + 1)

   sqrt( 50)

  7.071067812

To the nearest tenth

7.1

8 0
3 years ago
Read 2 more answers
Can y’all help me with number 2
Lilit [14]
False
true
false
false
Mark brainliest please
5 0
3 years ago
Read 2 more answers
Other questions:
  • Paul has a standard deck of cards. what is the probability he will choose a 2?
    6·1 answer
  • System of equations pls help!!
    14·1 answer
  • Ben drinks tea at an incredible rate.He drinks 3 1/2 liters of tea every 2/3 of an hour.Ben drinks tea at a constant rate. How m
    9·1 answer
  • Pls help me find the area. See image below.
    10·1 answer
  • What number is 10 times bigger than 0.92
    10·2 answers
  • What is the value of S^3 for ????
    11·2 answers
  • PLEASE HELP! I WILL GIVE YOU 15 POINTS!
    15·1 answer
  • Math please help, it is Aleks
    8·1 answer
  • 7 x [(7 + 7) = 7<br> Help plz
    12·1 answer
  • What are the factors and zeros of the function f(x)=−2x2+7x+15?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!