31 = 9/3+6 solve the equation

Step-by-step explanation:

Given the equation that modeled the total public debt D (in trillions of dollars) in the United States at the beginning of each year from 2000 through 2008 can be approximated by;

D = 0.032t^2 + 0.21t + 5.6, 0 ≤ t ≤ 8

We are to find the total public debt with the time interval;

when t = 0;

D = 0.032(0)^2 + 0.21(0) + 5.6

D = 5.6 trillion dollars

when t = 1;

D = 0.032(1)^2 + 0.21(1) + 5.6

D = 0.032+0.21+5.6

D = 5.842 trillion dollars

when t = 2;

D = 0.032(2)^2 + 0.21(2) + 5.6

D = 0.128+0.42+5.6

D =  6.148 trillion dollars

when t = 3;

D = 0.032(3)^2 + 0.21(3) + 5.6

D = 0.288+0.63+5.6

D = 6.518 trillion dollars

when t = 4;

D = 0.032(4)^2 + 0.21(4) + 5.6

D = 0.512+0.84+5.6

D = 6.952 trillion dollars

when t = 5;

D = 0.032(5)^2 + 0.21(5) + 5.6

D = 0.8+1.05+5.6

D = 7.45 trillion dollars

when t = 6;

D = 0.032(6)^2 + 0.21(6) + 5.6

D = 1.152+1.26+5.6

D = 8.012 trillion dollars

when t = 7;

D = 0.032(7)^2 + 0.21(7) + 5.6

D = 1.568+1.47+5.6

D = 8.638 trillion dollars

when t = 8;

D = 0.032(8)^2 + 0.21(8) + 5.6

D = 0.032(64)+1.68+5.6

D = 2.048+1.68+5.6

D = 9.328 trillion dollars

From the values gotten, we can see that the total public debt reached or surpassed 7 trillion dollars in 2005

To get the public debt in 2017, we can simply substitute t = 17 into the expression D = 0.032t2 + 0.21t + 5.6

D = 0.032(17)^2 + 0.21(17) + 5.6

D = 0.032(289)+3.57+5.6

D = 9.248+3.57+5.6

D(17) = 18.418 trillion dollars

Answer:

y = x + 3

Step-by-step explanation:

1 + 3 = 4

2 + 3 = 5

3 + 3 = 6

And so on

Answer:

Step-by-step explanation:

-2x -3y = 5

4x + 3y = 17

2x = 22

x = 11

4(2) + 3y = 17

8 + 3y = 17

3y = 9

y = 3

(11,3)

Answer:

x=11, y=-9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the inequality −x − 10 > 14 + 2x

This are the steps to solve the expression for x;

−x − 10 > 14 + 2x

Step 1: Add to to both sides

−x − 10+10 > 14 + 2x+10

-x > 24+2x

subtract 2x from both sides

-x-2x >24+2x-2x

-3x>24

Divide both sides by 3;

-3x/-3 < 24/-3

x < -8 (Note the change in inequality sign. It was changed because we divided through with a negative value)

Answer:

Since this graph is continuing, y must be any real number. So, d.

Answer:

10000

Step-by-step explanation:

Answer:

10,000

Step-by-step explanation:

You just take the 0's and then you mutiply 1x1 and the answer you add the cero's you left  the one from the number 10 and allso the ones from 1000

Answer:

You will want to compare the width to the length, or 42 mm/ 74mm ...the units cancel, which is what you want for a ratio...and you usually want to simplify your ratio

Hope that helps

2+3i

that's the answer.

Answer:

your answer is | 2+3i | its a trick question

Step-by-step explanation:

Answer: 109.5

Step-by-step explanation: EACH year for three years would be 1095 if you  multiply 365 (each year) by 3 (the amount of years) and then divide that by 10. Im not entirely sure but I hope I helped

Answer:

1/2

Step-by-step explanation:

Divide the denominator in half

10/2 = 5

4 is close to 5 so 4/10 is close to 1/2

Answer:

4/10 is closer to 1/2.

Think of a pie. There are 10 slices total, but only 4 slices remain, because I ate them all! Do you think that 4 out of 10 slices would be closer to a whole pie or half a pie? It would be closer half a pie.

Further explanation:

If you were to round the number 44 to the closest ten, it would be 40. If you were to round 47 to he nearest ten, it would be 50. If you were to round 45 to the nearest ten, it would also be 50. I hope this helps!

Half (1/2) is the answer.

Answer:

12.5

Step-by-step explanation:

Using the negative binomial method, we can solve this question. Try defining the variable with parameters (r,p) with success probability p.

Hope this helped!

Answer:

2

Step-by-step explanation:

Difference = 10 - 8 = 2

Hope it helps you in your learning process.

Answer:

2 bonus stars

Step-by-step explanation:

0.04 million= 40,000

40000/1701= 23.5

23.5(3)= 70.5

70.5/33= 2 stars

The value of z-score such that 0.02 of the area lies to the right of z would be 2.06.

Given that,

0.02 of the area lies to the right of z.

Now, for the value of z such that 0.02 lies to the right of z, we can make use of the standard normal distribution table.

Since to determine the value of z such that 0.02 of the area lies to the right, we need to find the z-score associated with the cumulative probability of (1 - 0.02) = 0.98

Now for the value of 0.98 in the standard normal distribution table, we find that the corresponding z-score is 2.06.

Therefore, the value of z, rounded to two decimal places, is 2.06.

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The value of z such that 0.02 of the area lies to the right of z is approximately 2.05 (rounded to two decimal places).

To find the value of z such that 0.02 of the area lies to the right of z, we need to determine the z-score associated with that probability.

Since we're looking for the area to the right of z, we can use the standard normal distribution table or a statistical calculator to find the corresponding z-score.

By searching the table or using a calculator, we can find that the z-score associated with a right-tail probability of 0.02 is approximately 2.05.

for such more question on area

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Answer:

x = 6

Step-by-step explanation:

first find the angle

51 + 72 + x = 180

123 + x = 180

x = 180 - 123

x = 57

so the third angle is 57

now find the value of x in the given expression

8x + 9 = 57

8x = 57 - 9

8x = 48

x = 48/8

x = 6

now check whether the value of x is correct or not by evaluating the value of x in expression

8x + 9 = 57

8(6) + 9 = 57

48 + 9 = 57

57 = 57

so its true

Method 2

51 + 72 + (8x + 9) = 180

123 + 8x + 9 = 180

132 + 8x = 180

8x = 180-132

8x = 48

x = 48/8

x = 6

now again you can check by evaluating the value of x in the above expression

Answer:

4. 3

The answer is the last option, all you do is reduce

Step-by-step explanation:

rise over run = rise/run = 6/2

reduce,

6/2

3/1

3x

Answer:

0.86433

0.29782

0.07966

Step-by-step explanation:

Given that :

Number of trials (n) = 180

Probability that a total of 7 occurs

To obtain a total of 7 from a pair of dice :

Combinations:

(1,6) ; (2,5) ; (3,4) ; (4,3) ; (5,2) ;(6, 1)

Sample space when a pair of dice is rolled = 6² = 36

Probability of success (p) = number of 7

combination possible ÷ sample space)

p = 6 / 36 = 0.1667

q = p' = 1 - p = 1 - 0.1667 = 0.8333

Using Normal approximation :

Mean (m) = np = 180 * 0.1667 = 30.006

Standard deviation (σ) = √npq

σ = √(180 * 0.1667 * 0.8333)

σ = 5.0003999

σ = 5.00

(a) at least 25 times?

P(x ≥ 25)

x = 25 - 0.5 = 24.5

Obtain the Zscore :

Z = (x - m) / σ

Z = (24.5 - 30) / 5

Z = -5.5/5

Z = -1.1

P(z ≤ - 1.1)

USing the z probability calculator :

P(z≥ - 1.1) = 0.86433

(b) between 33 and 41 times inclusive?

P(32.5 ≤ x ≤ 41.5)

Z =[ (32.5 - 30) / 5] ≤ x ≤ [ (41.5 - 30) / 5]

Z = 2.5/5 ≤ x ≤ 11.5 /5

Z = 0.5 ≤ x ≤ 2.3

Using z probability calculator :

P(z ≤ 0.5) = 0.69146

P(z ≤ 2.3) = 0.98928

0.98928 - 0.69146 = 0.29782

(c) exactly 30 times?

P(x = 30)

P(29.5 ≤ x ≤ 30.5)

Z =[ (29.5 - 30) / 5] ≤ x ≤ [ (30.5 - 30) / 5]

Z = - 0.5/5 ≤ x ≤ 0.5 /5

Z = - 0.1 ≤ x ≤ 0.1

Using z probability calculator :

P(z ≤ - 0.1) = 0.46017

P(z ≤ 0.1) = 0.53983

0.53983 - 0.46017 = 0.07966

Using the normal approximation to the binomial, it is found that there is a:

a) 0.8643 = 86.43% probability that a total of 7 occurs at least 25 times.

b) 0.2978 = 29.78% probability that a total of 7 occurs between 33 and 41 times inclusive.

c) 0.0796 = 7.96% probability that a total of 7 occurs exactly 30 times.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The mean and standard deviation are given by:

[tex]\mu = np = 180\frac{1}{6} = 30[/tex]

[tex]\sigma = \sqrt{np(1-p)} = \sqrt{180\frac{1}{6}\frac{5}{6}} = 5[/tex]

Item a:

Using continuity correction, this probability is [tex]P(X \geq 25 - 0.5) = P(X \geq 24.5)[/tex], which is 1 subtracted by the p-value of Z when X = 24.5. Hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24.5 - 30}{5}[/tex]

[tex]Z = -1.1[/tex]

[tex]Z = -1.1[/tex] has a p-value of 0.1357.

1 - 0.1357 = 0.8643.

0.8643 = 86.43% probability that a total of 7 occurs at least 25 times.

Item b:

Using continuity correction, this probability is [tex]P(33 - 0.5 \leq X \leq 41 + 0.5) = P(32.5 \leq X \leq 41.5)[/tex], which is the p-value of Z when X = 41.5 subtracted by the p-value of Z when X = 32.5. Hence:

X = 41.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{41.5 - 30}{5}[/tex]

[tex]Z = 2.3[/tex]

[tex]Z = 2.3[/tex] has a p-value of 0.9893.

X = 32.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{32.5 - 30}{5}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a p-value of 0.6915.

0.9893 - 0.6915 = 0.2978.

0.2978 = 29.78% probability that a total of 7 occurs between 33 and 41 times inclusive.

Item c:

Using continuity correction, this probability is [tex]P(30 - 0.5 \leq X \leq 30 + 0.5) = P(29.5 \leq X \leq 30.5)[/tex], which is the p-value of Z when X = 30.5 subtracted by the p-value of Z when X = 29.5. Hence:

X = 30.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30.5 - 30}{5}[/tex]

[tex]Z = 0.1[/tex]

[tex]Z = 0.1[/tex] has a p-value of 0.5398.

X = 29.5

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{29.5 - 30}{5}[/tex]

[tex]Z = -0.1[/tex]

[tex]Z = -0.1[/tex] has a p-value of 0.4602.

0.5398 - 0.4602 = 0.0796.

0.0796 = 7.96% probability that a total of 7 occurs exactly 30 times.

A similar problem is given at https://brainly.com/question/19054425

Answer:

a zero line

Step-by-step explanation:

i dont have a diagram to show

Answer:

(p-q) (3) = 40 The anwser is c

Step-by-step explanation:

If p(n)=4n2+4n−6 and q(n)=n2−5n+8.The value of (p−q)(3) will be 26. Option a is correct.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

p(n)=4n²+4n−6 and q(n)=n²−5n+8

Substitute the given values and apply the arithmetic operation as,

(p−q) = (4n²+4n−6) - (n²−5n+8)

(p−q) =3n²-n+2

Put n = 3 for the given conditions,

(p−q)(3) =3(3)² - 3 +2

(p−q)(3) =27-3+2

(p−q)(3) =29-3

(p−q)(3) =26

Thus, if p(n)=4n2+4n−6 and q(n)=n2−5n+8.The value of (p−q)(3) will be 26. Option a is correct.

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Answer:

They purchased 3 tickets for tier seats.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=12 (1)

45x+60y=585 (2), where

x is the number of tickets for floor seats

y is the number of tickets for tier seats

First, you can solve for x in (1):

x=12-y (3)

Next, you can replace (3) in (2):

45(12-y)+60y=585

540-45y+60y=585

15y=585-540

15y=45

y=45/15

y=3

Now, you can replace the value of y in (3) to find x:

x=12-3

x=9

According to this, the answer is that they purchased 3 tickets for tier seats.

Answer:

-3q+3

Step-by-step explanation:

Answer:

−3q+3

Step-by-step explanation:

Answer:

3)

3.6 • 109

Step-by-step explanation:

i think lang naman bat kaylangan ng explanation charr!!

Answer:

The answer is ( A) -There is no correlation between amount of sleep and number of calories burned

Step-by-step explanation:

Answer:

7/3

Step-by-step explanation:

If I solved it correctly, you use  y2-y1 / x2-x1. From here you get -3-4/1-4=-7/-3 which when you divide equals 7/3. LMK IF its wrong and ill figure it out champ!

Answer: Right , Scalene

Step-by-step explanation: the picture shows that it is a right triangle. It also has side lengths of 8.66, 7, and 5.1 which are all different making it a scalene triangle.

Answer:

7.5 x 12 = 90 to find out how many boxes

Then take the boxes x 1.3 = 117 pounds

Answer:

Déjà Vu

Step-by-step explanation:

i ve been reading this test before

Answer:

linear

Step-by-step explanation:

m = [tex]\frac{difference-- between-- y-coordinats}{difference-- between-- x-coordinats}[/tex] = [tex]\frac{-4}{1}[/tex] = - 4 ⇒ [1 - 1, 10 - ( - 4)] = (0, 14) is y-coordinate.

equation of the function is y = - 4x + 14 ⇒ function is linear

Answer:

may God lay a helping hand

Answer:

C. a + 2s = $22

a + 3s = $28

Step-by-step explanation:

a = cost of adult ticket

s = cost of student ticket

✍️Cost of adult tickets purchased by Alex = 1 * a = a

Cost of 2 students tickets purchased by Alex = 2 * s = 2s

Total cost of total ticket purchased by Alex = $22

Therefore, equation for Alex would be:

✅a + 2s = $22

✍️Cost of adult tickets purchased by Jen = 1 * a = a

Cost of 3 students tickets purchased by Alex = 3 * s = 3s

Total cost of total ticket purchased by Alex = $28

Therefore, equation for Jen would be:

✅a + 3s = $28

✍️The answer would be option C:

a + 2s = $22

a + 3s = $28