Solve: -5n + 6(5n - 5) = 38 + 8n

Answer:

Proof below

Step-by-step explanation:

Trigonometric Identities

Before we prove the given identity, we need to recall:

[tex](a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc[/tex]

We have to prove that:

[tex](1+\sin\theta+\cos\theta)^2=2(1+\sin\theta)(1+\cos\theta)[/tex]

Let's expand the square on the left side as indicated in the formula above:

[tex](1+\sin\theta+\cos\theta)^2=1^2+\sin^2\theta+\cos^2\theta+2\sin\theta+2\cos\theta+2\sin\theta\cos\theta[/tex]

Recall the fundamental trigonometric identity:

[tex]\sin^2\theta+\cos^2\theta=1[/tex]

Substituting and operating:

[tex](1+\sin\theta+\cos\theta)^2=2+2\sin\theta+2\cos\theta+2\sin\theta\cos\theta[/tex]

Factoring by 2:

[tex](1+\sin\theta+\cos\theta)^2=2(1+\sin\theta+\cos\theta+\sin\theta\cos\theta)[/tex]

Factoring cos θ in the last two terms:

[tex](1+\sin\theta+\cos\theta)^2=2[1+\sin\theta+\cos\theta(1+\sin\theta)][/tex]

Factoring [tex]1+\sin\theta[/tex]

[tex](1+\sin\theta+\cos\theta)^2=2(1+\sin\theta)(1+\cos\theta)[/tex]

Proven

Answer:

144

Step-by-step explanation:

From information available

Margin of error = 4

S = 18.61

ME = Z-alpha/2 x s/√n

Alpha = 1-0.99

= 0.01

Alpha/2 = 0.01/2

= 0.005

Z-alpha/2 =2.576

Putting into the formula we have

4/1 = 2.576 x 18.61/√n

When we cross multiply

We have

√n = (2.576 x 18.61)/4

√n = 11.98484

n = 11.98484²

n = 143.63

n = 144

144 subjects are needed to do this estimation

Answer:

17

Step-by-step explanation:

The answer is 17 because the operation PEMDAS

Answer:

17

Step-by-step explanation:

20/ 4+6x2 can be simplified. First, you can divide 20 by 4 because of the order PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction) 20 divided by 4 is 5. You can then multiply 6 and 2 which gives you 12. Therefore, your equation is down to 5+12. You can add those two and you get 17 :) Hope this helps!! :D ~Happy Halloween~

Answer: 0.002429

Step-by-step explanation:

Given that:

Degree of freedom = 6

Value of Chisquare test statistic = 20.32

The P value of the Chisquare distribution with a test statistic of 20.32 and a degree of freedom of 6 can be obtained using a Chisquare p value calculator.

P(20.32, 6), at 0.05 the degree of freedom obtained is :

0.002429

This p value shows that result is significant at p < 0.05.

As the P value obtained is lesser than the significance level.

= 0.002429

Answer:

710

Step-by-step explanation:

the equation is 250+23n

n=20 so

250+23x20

23 x 20 = 460

250 + 460 = 710

Answer:

The wait  time is unusual because the probability value obtained is less than 2 standard deviation above the mean

Step-by-step explanation:

From the question we are told that

     The average wait time is  [tex]\mu = 55 \ min[/tex]

     The standard deviation is  [tex]\sigma = 33 \ min[/tex]

Generally the probability of  waiting over 1212 minutes is

     [tex]P(X > 1212) = P(\frac{X - \mu}{ \sigma } > \frac{ 1212 - 55}{ 33} )[/tex]

     [tex]P(X > 1212) = P(\frac{X - \mu}{ \sigma } > \frac{ 1212 - 55}{ 33} )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

So

       [tex]P(X > 1212) = P(Z > 35 )[/tex]

From z table  the probability of  (Z  >  35 ) is  

        [tex]P(Z > 35 ) = 0[/tex]

Hence

    [tex]P(X > 1212) = 0[/tex]

The  time is unusual because the probability value obtained is less than 2 standard deviation above the mean

Answer:

4 points per minute

Step-by-step explanation:

Divide to find the rate of change.

80 / 20 = 4 points per minute

Best of Luck!

Answer:

-4

Step-by-step explanation:

It says you LOSE points so it is -80

-80 / 20 = -4

A written contract is not legally binding until it is signed by all parties involved. Option (B) is correct.

Money is a good that is widely acknowledged as a means of economic exchange. It serves as the medium for expressing values and pricing. It is the primary indicator of wealth since it moves from person to person and country to country, allowing trade.

A pledge made to another party stating whether they will or won't carry out a specific activity in the future. For instance, I'll give you $3,500 in exchange for your car. of oneself. In most cases, it reflects the conditions of the offer—a declaration made through words or deeds that both parties accept the terms of the contract.

A contract must contain several characteristics in order to be legitimate and recognized by the common law, including an offer, acceptance, consideration, the desire to establish legal relations, authority and ability, and certainty. A contract cannot be enforceable by the courts and is not legally binding if it lacks these components.

Therefore, Option (B) is correct. A written contract is not legally binding until it is signed by all parties involved.

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Answer:

3

Step-by-step explanation:

slope = rise/run

Start at an easy to read point, such as (0, -2).

Go up 3 and right 1.

That is a rise of 3 and a run of 1.

slope = rise/run = 3/1 = 3

Answer: 3

Answer:

3

Step-by-step explanation:

Count how many points it goes up and then over to cross a square through the corner. In this case it goes up 3 over one. That simplifies to be just 3. Hope that made sense.

Hello,

This is a parabola.

The vertex is for x= 15/2*5=3/2, and then the maximum is reached for

[tex]h(3/2)=-5(9/4)+15(3/2)+10=\dfrac{-45+90+40}{4}=\dfrac{85}{4}[/tex]

As 85/4 < 24 the ball does not reach a height of 24 m

thanks

The ball does not reach a height of 24 m.

Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.

Given:

The height of the toy cannon all launched is expressed as

h(t)=-5t²+15t+10

a) As, the given equation forms a parabola, the vertex is

t = 15/2 x 5

t = 3/2

So, it reached the maximum height at 3/2

h(3/2) = -5(9/4)+ 15 (3/2) + 10

h(3/2) = 85/4

So, 85/4 < 24 the ball does not reach a height of 24 m.

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Answer:

1.7

Step-by-step explanation:

Answer:

P = 2l + 2w

Step-by-step explanation:

Simplify on both sides, then move P to itself.

P-2w / 2 = l

*2. *2

P-2w=2l

+2w +2w

P=2l + 2w

Answer:

f

Step-by-step explanation:

Answer

Square root of 8, 3.14, pi, square root of 16, 5 3/4

Step-by-step explanation:

Answer:

a. The expression that represents the number of cups of hot chocolate drunk per day as a function of degrees Celsius is

y = -30x + 3600 pr the equivalent y = 3600 - 30x

b. How many cups would they drink at 5 degrees Celsius?

x = 5 --> y = 3600 - 30 X 5 --> y = 3600 - 150 --> y = 3450

c. How many cups would they drink at 25 degrees Celsius?

x = 25 --> y = 3600 - 30 X 25 --> y = 3600 - 750 --> y = 2850

d. Write an equation to determine the temperature if 3000 cups of hot chocolate were consumed in a day.

y = 3000 --> 3000 = 3600 - 30x

e. Solve the equation to find the temperature if 3000 cups of hot chocolate were consumed in a day.

--> 3000 = 3600 - 30x --> 3000 - 3000 + 30x = 3600 - 30x - 3000 + 30x --> 30x + 600 --> 30x/30 = 600/30 --> x = 20

f. Is this answer reasonable? Explain.

It is very reasonable.

At 0 degree C. they drink 3600 cups.

As the temperature increases, hot chocolate consumption decreases.

At 5 degree C. they drink less hot chocolate: 3450 cups.

Since 20 degree C. is even warmer, they should drink even less at 20 degree C., but not as little as the 2850 cups they drink on those very warm 25 degree C. days.

Step-by-step explanation:

We need to name/define variables:

y = number of cups of hot chocolate consumed in a day in Fairbanks.

x = temperature in degrees Celsius

"For each rise of 1 degrees Celsius, their consumption decreases by 30 cups per day."

That tells you that y is a linear function of x, so we should be able to write it as

y=mx + b with some constants for slope, m, and y-intercept, b.

It also tells you that the slope is m=-30.

"People living in Fairbanks drink 3600 cups of hot chocolate per day when the temperature is 0 degrees Celsius."

That gives you the value of y when x=0, which is the y-intercept,

b=3600

Answer:

x would equal 4.

x−(3−2x)+(4−5x)=−7 =

x−(3−2x)+4−5x =

−2x+1=−7 =

−2x=−8 =

x=4

Answer:

Step-by-step explanation:

Given the equation of calorie count of food computed by:

C = 3h + 13f + 7p

h is the number of grams of carbohydrate contained in the serving,

f is the number of grams of fat contained in the serving, and;

p is the number of grams of protein contained in the serving

We are to make f the subject of the formula as shown:

C = 3h + 13f + 7p

13f = C-3h-7p

Divide through by 13

13f/13 = (C-3h-7p)/13

f =  (C-3h-7p)/13

Hence the formula for f, the number of grams of fat contained in a serving of food is f =  (C-3h-7p)/13

==========================================================

Explanation:

The last term is 9 and the middle coefficient is -6.

We need to find two numbers that multiply to the last term, and also add to the middle coefficient.

Through trial and error, you should find the two numbers -3 and -3

-3 plus -3 = -6

-3 times -3 = 9

Those two values directly lead to the factorization (x-3)(x-3)

We can FOIL out (x-3)(x-3) to get x^2-6x+9 to help confirm the answer. Distribution works as well. The box method is a visual way to do it also.

Hi! I believe your answer is 4.4 pounds lost per week. 22 total pounds divided by 5 pounds per week equals 4.4 pounds per week. I hope this helps you! Good luck and have a great day. ❤️✨

Answer:

A, C, D

Step-by-step explanation:

I hope this helps!!

Answer:

okay I will explain but where is that's knid of question

Answer:

210 is the answer

Answer:

6x + x = 35

Step-by-step explanation:

7x = 35

x = 5

6*5= 30 ibs

it is dog weight

make it braintliest please

Answer:

Step-by-step explanation:

This type of probability is independent i.e the occurrence of one does not affect the other.

Probability = expected outcome/total outcome

For a coin:

The total sample space = {H, T} i.e 2

The probability of tossing a head will be:

P(a head) = 1/2

For a die:

Sample space S = {1, 2, 3, 4, 5, 6}

Total number of sample space n(S) = 6

If a number greater than 5 is rolled, the event outcome will be E = {6}

Pr(S>5) = n(E)/n(S)

Pr(S>5) = 1/6

The probability of tossing a head and then rolling a number greater than 5 is expressed as:

Pr(H and S>5) = Pr(H) * Pr(S>5)

Pr(H and S>5) = 1/2* 1/6

Pr(H and S>5) = 1/12

Hence the probability of tossing a head and then rolling a number greater than 5 is 1/12

This question is incomplete, the complete question is;

Radio frequency identification (RFID) is an electronic scanning technology that can be used to identify items in a number of ways. One advantage of RFID is that it can eliminate the need to manually count inventory, which can help improve inventory management. The technology is not infallible, however, and sometimes errors occur when items are scanned. The probability that a scanning error occurs is 0.0062.

- find the probability that the number of items scanned incorrectly is between 14 and 25​, ​inclusive, from the next 4600 items scanned.

Answer:

the probability that the number of items scanned incorrectly is between 14 and 25​, ​inclusive, from the next 4600 items scanned is 0.2819

Step-by-step explanation:

Given that;

n = 4600

p = 0.0062

now mean of distribution μ  = n × p = (4600 × 0.0062) = 28.52

standard deviation σ = √(np(1-p)) =  √(4600 × 0.0062(1 - 0.0062 ))  = 5.3238

for normal distribution z-score = (X-μ) / σx    

therefore from the normal approximation of continuity correction and binomial distribution;

probability = P(13.5 < X < 25.5)

= P( -2.82 < Z < -0.57 )

= 0.2853 - 0.0024

= 0.2819

therefore the probability that the number of items scanned incorrectly is between 14 and 25​, ​inclusive, from the next 4600 items scanned is 0.2819

Answer:

is it twelve ?

Step-by-step explanation:

:-|

(x) (y)

0 7

7/3 0

Draw the line using two points or the slope and the y-intercept.

Slope: −3

Y-intercept: (0.7)

I hope I did this right :)