p + nx=rx-e (solve for x)

Answer:

Step-by-step explanation:

When x=-2; y = -16+12= -4. This means a=-4

When x=-1; y= -2+3 = 1. This means b= 1.

When x=2; y = 16 +12 = 28 . This means c= 28

When x=4; y= 128+48 = 176. This means d= 176

Answer:

N=433.31

Step-by-step explanation:

720(cos(53))=(n/720)720

n=720cos(53)

n=433.306

n=433.31

Hope this helps i aced this unit

Answer:

0.118 ; (271, 329)

Step-by-step explanation:

Given;

Probability of success , p = 0.3

Number of trials, n = 12

P(x ≥ 6) = P(6) + P(7) + P(8) + P(9) + P(10)

Using binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

Using calculator :

P(x ≥ 6) = 0.1178

= 0.118

B.)

Suppose number of trials, n = 1000

And number of defective chickens is within 1 standard deviation of the mean :

Mean = np ; p = 0.3

Mean = 1000 * 0.3 = 300

Standard deviation (s) : sqrt(np(1-p))

s = sqrt(1000 * 0.3 * 0.7)

s = sqrt(210)

s = 14.49

2 standard deviations of the mean:

Mean ± 2s

Lower bound : 300 - 2(14.49) = 271.02

Upper bound : 300 + 2(14.49) = 328.98

(271.02, 328.98) = (271, 329)

We can use trigonometric identities to simplify the expression:

\begin{align*}

\frac{\cos^2 A}{1+\sin A} &= \frac{\cos^2 A}{1+\sin A} \cdot \frac{1-\sin A}{1-\sin A} \

&= \frac{\cos^2 A (1-\sin A)}{1-\sin^2 A} \

&= \frac{\cos^2 A (1-\sin A)}{\cos^2 A} \

&= 1-\sin A

\end{align*}

Therefore, the simplified expression is $1-\sin A$.

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Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

This pandemic has affected millions (maybe billions) of people, who are either sick or are being killed due to the spread of this disease. The most common symptoms of this viral infection are fever, cold, cough, bone pain, and breathing problems, ultimately leading to pneumonia.

Stay safe during these tuff times please mark me -liest

God bless

Yes, all linear transformations have a matrix representation. This is established by the fundamental theorem of linear algebra, which states that any linear transformation can be represented by a matrix..

All linear transformations have a matrix representation. This is established by the fundamental theorem of linear algebra, which states that every linear transformation between finite-dimensional vector spaces can be represented by a matrix. The matrix representation of a linear transformation preserves the algebraic properties of the transformation, such as linearity and composition of functions. However, it is important to note that not all matrices represent linear transformations, as they must satisfy certain conditions to do so, such as being square and invertible.

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Answer:(0,4)

Step-by-step explanation:

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The domain of the function is x ∈ [ -4, ∞ )

Here, we are given a function as follows-

y = \(\sqrt{x + 4}\)

Now, domain is the set of all input values that a function can take. Or in other words, it is the set of all values that the independent variable can take such that the function exists.

Here, the independent variable is x

We know that square root of a negative number is imaginary. Thus, for y to be real, (x + 4) must be greater than or equal to 0

⇒ (x + 4) ≥ 0

x ≥ -4

This means that for all values of x greater than or equal to -4, the function exists.

Thus, the domain of the function is x ∈ [ -4, ∞ )

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Your question was incomplete. Check for missing content below-

What is the domain of the function y = sqrt(x + 4)?

Answer:

6π cm

Step-by-step explanation:

9514 1404 393

Answer:

  b⁶

Step-by-step explanation:

The question tells you how to work it: use the relations you studied.

Here, you have the power of an expression with an exponent. The exponents multiply.

  \(\text{Rule: }(a^b)^c=a^{bc}\\\\\text{Appication: }(b^3)^2=b^{3\cdot2}=\boxed{b^6}\)

_____

Additional comment

A coefficient is used to indicate repeated addition: 3x = x + x + x.

An exponent is used to indicate repeated multiplication: x³ = x·x·x.

This is still true when the exponent is applied to an expression with an exponent:

  (b³)² = (b³)(b³) . . . . the factor b³ is repeated 2 times as indicated by the exponent 2

Of course, each of these indicates repeated multiplication, so we really have ...

  (b³)(b³) = (b·b·b)·(b·b·b) = b·b·b·b·b·b

And this can be simplified using an exponent to show the repeated multiplication:

  = b⁶

Then, by going the long way around, we arrive at ...

  (b³)² = b⁶

The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.

Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.

To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.

Let's start with the first equation:

2 + x = 5

Subtract 2 from both sides:

x = 3

Now let's move on to the second equation:

x + 1 = 4

Subtract 1 from both sides:

x = 3

Notice that we got the same value of x for both equations, so they are equivalent.

Next, let's look at the third equation:

9 + x = 6

Subtract 9 from both sides:

x = -3

Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.

Now, let's move on to the fourth equation:

x + (-4) = 7

Add 4 to both sides:

x = 11

This value of x is also different from the first two equations, so it is not equivalent to them.

Finally, let's look at the fifth equation:

-5 + x = -2

Add 5 to both sides:

x = 3

Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.

So, correct options are A, B and E.

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Complete question is:

Which of the following equations are equivalent? Select three options.

2 + x = 5

x + 1 = 4

9 + x = 6

x + (- 4) = 7

- 5 + x = - 2

Answer:

it is 6

Step-by-step explanation:

its a reverse diamond

Answer:

7)

Step-by-step explanation:

The pattern is: add two more than you did before: starting from 2.

It would be:

1, 3, 7, 13,  21,  31, 43, 57

+2 +4 +6 +8 +10  +12  +14

Now use this to answer the questions.

Hope this helped!

Have a nice day!

(it would be nice if you gave me brainliest)

Thx :)

Answer:

3,7,2

Step-by-step explanation:

42 = 21*2

42 = 3*7*2

Ta da!

Hope this helps! :)

(pls mark brainliest)

Answer: The prime factorization is 46 = 2 times 3 times 7.

Step-by-step explanation:

So we have the number 42.

First, break 42 up into 2 and 21.

Then split those two numbers further into 3 and 7 from 21 (because they are the factors of 21).

Since you can't break it down any further, take the prime numbers from there and multiply them against each other. This is why it is called prime factorization.

Don't simplify any further and don't multiply them together. Just keep it as 46 = 2 times 3 times 7. There you go!

Answer:

slope (m) = 4/5

Step-by-step explanation:

Equation of straight line: y = mx + b

∴ 4/5 is the slope

Answer:

x = -31/4  or x = 17/4

Step-by-step explanation:

|4x + 7| − 4 = 20

⇔ |4x + 7| − 4 + 4 = 20 + 4

⇔ |4x + 7| = 24

⇔ 4x + 7 = 24  or 4x + 7 = -24

⇔ 4x = 24 - 7 or 4x = -24 - 7

⇔ 4x = 17 or 4x = -31

⇔ x = 17/4 or x = -31/4

Answer:

x = \(\frac{17}{4}\)    (17/4 = 4.25)

or x =  \(-\frac{31}{4}\)  (-31/4 = -7.75)

Step-by-step explanation:

| | is notation for absolute value

absolute value - the distance that a number is from 0

> essentially, you can think of absolute value as the "positive version" of whatever is inside of the | |

if we have | x | = 20, we could really have (without the | | ) two versions of x

either | x | = 20  ; or | -x | = 20  {because a negative x inside of the | | has the same value as positive x}

we set this up as two equations:

x = 20        or         -x = 20

                                ^ {multiply by -1}

x = 20  or   x = -20

now, let's plug our understanding into the equation

|4x + 7| - 4 = 20

first, we should simplify our equation to:

|4x + 7| - 4 = 20

           + 4   + 4

 |4x + 7|   =   24

now, let's separate this absolute value equation into two separate equations:

4x + 7 = 24:

      - 7    - 7  {subtract 7 from both sides to isolate x}

4x = 17

÷4  ÷4        {divide both sides by 4 to get 1x}

x= \(\frac{17}{4}\)

or,

4x + 7 = -24:

      - 7    -7   {subtract 7 from both sides to isolate x}

4x     =    -31

÷4           ÷4   {divide both sides by 4 to get 1x}

 x = \(-\frac{31}{4}\)

so, we know that

x = \(\frac{17}{4}\)    (17/4 = 4.25)

or x =  \(-\frac{31}{4}\)  (-31/4 = -7.75)

hope this helps!!

Answer:

17/3

Step-by-step explanation:

all you have to do is add 5 and 2 and you get 17 / 3  also divide by 2

Answer:

37.7 feet

Step-by-step explanation:

The circumference of a circle can be calculated using the formula: Circumference = 2 * π * radius, where π (pi) is approximately 3.14159.

For example, if we have a circle with a radius of 3 feet, its circumference would be approximately 18.85 feet (rounded to five decimal places).

When we double the radius to 6 feet, the circumference also doubles. In this case, the circumference would be approximately 37.70 feet (rounded to five decimal places).

In summary, when the radius of a circle doubles, the circumference also doubles, maintaining a direct proportional relationship between the two measurements.

Answer:

512 ft and 1,232 ft

Step-by-step explanation:

area is length x width

the pool's area can be calculated doing 32ft x 16ft

the area of the pool is 512 ft

the deck's area can be calculated doing 28ft x 44ft

the area of the deck is 1,232 ft

you're welcome<3

Complete question :

A business owner wants to know if it will be profitable to open a new coffee shop in a nearby town.In towns where the shop has been successful,the shop name is recognizable to people 53% of the time .He survey random sample of 12 residents of the town.  Find the probability that among these 12 surveyed residents, none of them have ever heard of the coffee shop

Answer:

0.000116

Step-by-step explanation:

Using the binomial probability relation :

Probability of success, p = 0.53

1 - p = 0.47

Number surveyed, n = 12

P(x =x) = nCx  * p^x * (1 - p)^(n - x)

Probability that none has heard of the coffee shop :

P(x = 0) = 12C0 * 0.53^0 * 0.47^12

P(x = 0) = 0.000116

One possible solution from the graph(attached at the end of the solution) is selling 9 bags of popcorn and 5 bags of candies.

As per the given data:

The number of popcorn bags is x

The number of candies is y

The cost of each popcorn bag is $7

The cost of each candy is $4

She has $80 to spend on them

Inequality is the nonequal comparison of two or more variables and numbers.

So the first inequality is

7 x + 4 y ≤ 80

Since she must buy no less than 16 bags of popcorn and candies

The second inequality is

x + y ≥ 16

The red area represents the 1st inequality

The blue area represents the 2nd inequality

The solutions lie in the common part of red and blue colors

One possible solution is ordered pair (9,5)

(Graph attached at the end of solution)

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Answer:

D 1/16

Step-by-step explanation:

(1/2)^4=.0625

.0625= 1/16

Step-by-step explanation:

If 76° gives 7.5 meters, we must find out how many meters it is for 360°.

Find how much for 1°: \(\frac{7.5}{76}\)

For 360°: \(\frac{7.5}{76} \times 360\) = 35.53 meters

Answer:

$705.30,  $837.67,  $994.89 Respectively

Step-by-step explanation:

Given

P= $500

r= 3.5%= 3.5/100= 0.035

Applying the compound interest formula we have

\(A= P(1+r)^t\)

where

A = final amount

P = initial principal balance

r = interest rate

t = number of time periods elapsed

\(A= 500(1+0.035)^1^0\\\ A= 500(1.035)^1^0\\\\ A= 500*1.410598\\\ A=705.299\)

A= $705.30

\(A= 500(1+0.035)^1^5\\\ A= 500(1.035)^15\\\\ A= 500*1.67534\\\ A=837.67\)

A= $837.67

Answer:

six x squared plus seven

Step-by-step explanation:

um..

Answer:

The way to write 6x² + 7 in words is six x squared plus seven

Step-by-step explanation:

I hope your happy with your answer