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
Ksivusya [100]
2 years ago
7

Expand the expression. Fill in the blanks 3(n + 7) n +( )7

Mathematics
1 answer:
morpeh [17]2 years ago
4 0
3n + 21 is the answer
You might be interested in
What is 66.98 rounded to the nearest tenth
astraxan [27]
The answer to this is 67.00
6 0
3 years ago
Read 2 more answers
Which graph shows the best solution for the system of linear equations. x+5y_>5 y_<2x+4
Mkey [24]

Answer:

.

Step-by-step explanation:

.

8 0
3 years ago
Please help me answer this question
avanturin [10]

By <em>direct</em> substitution and simplification, the <em>trigonometric</em> function z = cos (2 · x + 3 · y) represents a solution of the <em>partial differential</em> equation  \frac{\partial^{2} t}{\partial x^{2}} - \frac{\partial^{2} t}{\partial y^{2}} = 5\cdot z.

<h3>How to analyze a differential equation</h3>

<em>Differential</em> equations are expressions that involve derivatives. In this question we must prove that a given expression is a solution of a <em>differential</em> equation, that is, substituting the variables and see if the equivalence is conserved.

If we know that z = \cos (2\cdot x + 3\cdot y) and \frac{\partial^{2} t}{\partial x^{2}} - \frac{\partial^{2} t}{\partial y^{2}} = 5\cdot z, then we conclude that:

\frac{\partial t}{\partial x} = -2\cdot \sin (2\cdot x + 3\cdot y)

\frac{\partial^{2} t}{\partial x^{2}} = - 4 \cdot \cos (2\cdot x + 3\cdot y)

\frac{\partial t}{\partial y} = - 3 \cdot \sin (2\cdot x + 3\cdot y)

\frac{\partial^{2} t}{\partial y^{2}} = - 9 \cdot \cos (2\cdot x + 3\cdot y)

- 4\cdot \cos (2\cdot x + 3\cdot y) + 9\cdot \cos (2\cdot x + 3\cdot y) = 5 \cdot \cos (2\cdot x + 3\cdot y) = 5\cdot z

By <em>direct</em> substitution and simplification, the <em>trigonometric</em> function z = cos (2 · x + 3 · y) represents a solution of the <em>partial differential</em> equation  \frac{\partial^{2} t}{\partial x^{2}} - \frac{\partial^{2} t}{\partial y^{2}} = 5\cdot z.

To learn more on differential equations: brainly.com/question/14620493

#SPJ1

3 0
2 years ago
Suppose that X has a Poisson distribution with a mean of 64. Approximate the following probabilities. Round the answers to 4 dec
o-na [289]

Answer:

(a) The probability of the event (<em>X</em> > 84) is 0.007.

(b) The probability of the event (<em>X</em> < 64) is 0.483.

Step-by-step explanation:

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 64.

The probability mass function of a Poisson distribution is:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0, 1, 2, ...

(a)

Compute the probability of the event (<em>X</em> > 84) as follows:

P (X > 84) = 1 - P (X ≤ 84)

                =1-\sum _{x=0}^{x=84}\frac{e^{-64}(64)^{x}}{x!}\\=1-[e^{-64}\sum _{x=0}^{x=84}\frac{(64)^{x}}{x!}]\\=1-[e^{-64}[\frac{(64)^{0}}{0!}+\frac{(64)^{1}}{1!}+\frac{(64)^{2}}{2!}+...+\frac{(64)^{84}}{84!}]]\\=1-0.99308\\=0.00692\\\approx0.007

Thus, the probability of the event (<em>X</em> > 84) is 0.007.

(b)

Compute the probability of the event (<em>X</em> < 64) as follows:

P (X < 64) = P (X = 0) + P (X = 1) + P (X = 2) + ... + P (X = 63)

                =\sum _{x=0}^{x=63}\frac{e^{-64}(64)^{x}}{x!}\\=e^{-64}\sum _{x=0}^{x=63}\frac{(64)^{x}}{x!}\\=e^{-64}[\frac{(64)^{0}}{0!}+\frac{(64)^{1}}{1!}+\frac{(64)^{2}}{2!}+...+\frac{(64)^{63}}{63!}]\\=0.48338\\\approx0.483

Thus, the probability of the event (<em>X</em> < 64) is 0.483.

5 0
3 years ago
The patio at the back of the house is to be extended into the backyard in a semi-circle. What will be the area of the yard
tresset_1 [31]

Answer:

A = 413 sq feet

Step-by-step explanation:

The area of the yard = area of rectangle - area of semicircle

The radius of the semicircle, r = 10  feet

The length of the rectangle = 38.5 - 10 = 28.5 feet

So,

The area of the yard = lb - (πr²/2)

=20\times 28.5-(\dfrac{3.14\times 10^2}{2})\\\\A=413\  ft^2

So, the required area is equal to 413 sq feet.

5 0
2 years ago
Other questions:
  • PLEASE HELP ME I WILL GIVE BRAINLIEST
    5·1 answer
  • (-x+3)-(x-5)=2x+8 how
    5·2 answers
  • The velocity of a skydiver t seconds after jumping is given by V(t)= 80(1-e^-.2t). After how many seconds is the velocity 120 ft
    9·1 answer
  • 1. 2x + 4 = 3(x – 2) + 1
    11·1 answer
  • There are 25 black cars, 15 blue cars, 21 red cars and 30 white cars what is the probability of getting a red car
    12·2 answers
  • pedro has 6 packs of gum with p pieces in each pack he had a total of 72 pieces of gum decide whether each equation represents t
    9·1 answer
  • Anyone please help me to do 4 ) f
    14·1 answer
  • Round the following as specified.<br> to the nearest thousandth
    9·1 answer
  • (Round to the nearest tenth of a percent.) In 2011, the IRS increased the deductible mileage cost to
    14·1 answer
  • Select ALL the expressions that are equivalent to -4(8x-3)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!