Solve 13t+ 6| = 9

A. n = -5
B. n = 1
C. n = -1 or 1
D. n = -5 or 1

Answer:

y = 56.9

Step-by-step explanation:

100 + 13x = 180

13x = 80

x= 80/13

7(80/13) + y = 100

y = 56.9

The solution of the equation is y = 5.

The equation you'll be solving is: y + 6 = -3y + 26.

On the left side of the equation, you have y + 6. On the right side of the equation, you have

=> -3y + 26.

To combine like terms, you need to rearrange the equation so that the y terms are on one side and the constant terms are on the other side.

To do this, you can add 3y to both sides of the equation. This will eliminate the -3y term on the right side of the equation and leave you with 4y + 6 = 26. Next, you can subtract 6 from both sides of the equation. This will eliminate the +6 term on the left side of the equation and leave you with 4y = 20.

Now you have an equation that only has one variable, y, on one side of the equation and a constant, 20, on the other side of the equation.

To solve for y, you need to isolate y by dividing both sides of the equation by 4.

This will give you y = 5.

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Complete Question:

Solve the equation. y + 6 = - 3y + 26.

Answer:

Average Rate of change of given function \(h(x)=-x^2-6x+17\) is 2

Step-by-step explanation:

We are given function: \(h(x)=-x^2-6x+17\) (considering x is missed)

We need to find average rate of change  of the function over the interval \(- 6 < x < -2\).

\(x_{1} = -6\\x_2 =-2\)

Formula used to find average rate of change is: \(Average \ Rate \ of \ Change =\frac{h(x_2)-h(x_1)}{x_2-x1}\)

Finding f(x₁) and f(x₂)

\(We \ have \ x_1=-6\\h(x_1)= -x^2-6x+17\\h(x_1)=-(-6)^2-6(-6)+17\\h(x_1)=-36+36+17\\h(x_1)=17\)

\(We \ have \ x_2=-2\\h(x_2)=-x^2-6x+17\\h(x_2)=-(-2)^2-6(-2)+17\\h(x_2)=-4+12+17\\h(x_2)=25\)

Putting values in the formula of average rate of change

\(Average \ Rate \ of \ Change =\frac{h(x_2)-h(x_1)}{x_2-x1}\\h(x_2)=25, h(x_1)=17, x_1 =-6 \ and \ x_2=-2\\Average \ Rate \ of \ Change =\frac{25-17}{-2-(-6)}\\Average \ Rate \ of \ Change =\frac{8}{4}\\Average \ Rate \ of \ Change =2\)

So, Average Rate of change of given function \(h(x)=-x^2-6x+17\) is 2

The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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Answer:

C) r=-1/4

Step-by-step explanation:

The correct option is (C) 540π in3.

To find how much water is in the cylinder, first, you will have to find the volume of the cylinder. The formula to find the volume of the cylinder is:V = πr²hwhere V is the volume, r is the radius, h is the height of the cylinder. Given that the diameter of the cylinder is 12 inches, its radius is 6 inches. The height of the cylinder is given as 15 inches. Therefore, the volume of the cylinder is:V = π(6)²(15)V = 540π cubic inches. Now, a 6-inch diameter ball is placed within the cylinder. Therefore, the radius of the ball is 3 inches.

The ball is completely submerged in the water. So, we will have to find the volume of the ball as well.The formula to find the volume of the sphere is:V = 4/3πr³where V is the volume, and r is the radius of the sphere. Given that the radius of the ball is 3 inches, its volume will be:V = 4/3π(3)³V = 36π/3V = 12π cubic inches

Now, when the cylinder is filled with water after placing the ball inside, the ball will be covered with water. The volume of the water above the ball will be equal to the volume of the cylinder minus the volume of the displaced water (the volume of the ball). The volume of the water above the ball is:V = 540π - 12πV = 528π cubic inches .

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We prefer t procedures to z procedures for inference about a population mean because t procedures are more appropriate when the population standard deviation is unknown.

1. When the population standard deviation is known, we use z procedures. However, in many cases, the population standard deviation is not known and needs to be estimated from the sample data.
2. The t procedures take into account this uncertainty in estimating the population standard deviation by using the sample standard deviation in the calculations.
3. This makes the t procedures more accurate and reliable for inference about a population mean when the population standard deviation is unknown.

Therefore, t procedures are preferred over z procedures for inference about a population mean because they provide more accurate results when the population standard deviation is unknown.

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There were 17 students in the group, and each student paid the same whole number of dollars for the concert tickets.

To determine the number of students in the group, we need to find a whole number that is greater than 2 and less than 20, and when multiplied by another whole number, results in a product of $391.
First, let's list some factors of 391:
1 x 391 = 391
17 x 23 = 391

Since we are looking for a number of students, we can eliminate the factorization of 1 x 391 because that would mean there is only one student in the group, which contradicts the condition in the question.
Now, let's consider the factorization of 17 x 23. In this case, the number of students in the group would be the smaller factor, which is 17. Therefore, there were 17 students in the group.
To summarize, there were 17 students in the group, and each student paid the same whole number of dollars for the concert tickets.

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The nominal GDP for the year 2017 is $87,000, and the real GDP for the year 2017 is $87,000.

Using a base year,the formula to calculate the Real GDP is given below:

Real GDP = Nominal GDP ÷ Deflator (in decimal)

Where, Deflator = (Price of base year goods and services ÷ Price of current year goods and services) × 100

Nominal GDP for the year 2017= 1,650 × 10 + 2,820 × 25= 16,500 + 70,500= 87,000

Nominal GDP for the year 2019= 1,900 × 12 + 3,250 × 27= 22,800 + 87,750= 110,550 Using the above formula,

Deflator for the year 2017 can be calculated as:

Deflator for 2017= (P2017 / P2017) × 100= (1 × 10 + 2 × 25) / (1 × 10 + 2 × 25) × 100= 100

Similarly, Deflator for the year 2019 can be calculated as:

Deflator for 2019= (P2019 / P2017) × 100= (1.10 × 12 + 2.75 × 27) / (1 × 10 + 2 × 25) × 100= 120.25

Now, Real GDP for the year 2017= 87,000 / 100= $87,000 Real GDP for the year 2019= 110,550 / 120.25= $917.54 million.

Thus, the nominal GDP for the year 2017 is $87,000, and the real GDP for the year 2017 is $87,000. The nominal GDP for the year 2019 is $110,550, and the real GDP for the year 2019 is $917.54 million.

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Answer:

i believe this is how you solve that problem... 2÷5×4

Answer:

1.35 to nearest whloe ounce

This value of v into the formula for centripetal acceleration, we have:14.7 = (2πr/45)2Solving for r, we get:r = 77 meters (rounded to the nearest whole number). Therefore, the radius of the loop is 77 meters.

A loop is created by having an airplane follow a circular path in a vertical plane. This means that the acrobatic plane has centripetal acceleration, which is directed towards the center of the circular path. The acceleration depends on the speed of the plane, the mass of the plane, and the radius of the circular path. The acceleration can be calculated using the formula a = v2/r where v is the velocity and r is the radius of the circular path.

The given centripetal acceleration, a = 14.7 m/s2, is equal to v2/r. The velocity of the plane is not given, but we can use the fact that the pilot takes 45 seconds to complete the loop to find the velocity. During the loop, the plane travels a distance equal to the circumference of the circular path.

Therefore, the velocity of the plane is given by the formula v = 2πr/t where t is the time taken to complete one loop, which is 45 seconds.

Substituting this value of v into the formula for centripetal acceleration, we have:14.7 = (2πr/45)2Solving for r, we get:r = 77 meters (rounded to the nearest whole number) Therefore, the radius of the loop is 77 meters.

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Answer:

He will pay 60 feet of wire for $13.80

Answer:

well it's exponential so b. b=×2 or everytime x goes up by 1 y is multiplied by2

A drug administered 50 mg every three hours and the drug decays 12% per hour, the limiting value is approximately 416.67 mg.

To find the limiting value, we need to determine the amount of the drug remaining after each administration and observe how it approaches a stable value over time.

First, let's calculate the decay factor per hour. The drug decays by 12% per hour, which means it retains 88% of its previous value after each hour.

Decay factor = 1 - 0.12 = 0.88

Now, let's calculate the amount of drug remaining after each administration:

After 1st administration: 50 mg

After 2nd administration: 50 mg * 0.88 = 44 mg

After 3rd administration: 44 mg * 0.88 = 38.72 mg

After 4th administration: 38.72 mg * 0.88 = 34.04 mg

After 5th administration: 34.04 mg * 0.88 = 29.92 mg

As we can see, the amount of drug remaining decreases with each administration, approaching a limiting value. To find this limiting value, we can continue the pattern or use a formula.

The formula for the limiting value of a drug administered every three hours is:

Limiting value = dosage / (1 - decay factor)

In this case, the dosage is 50 mg, and the decay factor is 0.88.

Limiting value = 50 mg / (1 - 0.88) = 50 mg / 0.12 ≈ 416.67 mg (rounded to two decimal places)

Therefore, the limiting value is approximately 416.67 mg.

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We have been given the domain-range pairs of the function g.

We have a pair of domain-range pair as (5, 2)

Therefore,

Next, we find

Lastly, we find:

Answer:

-5.862

Step-by-step explanation:

u times the top frist then that will give u 0.00979

then u times the bottom that gives u -0.00167

then u start to   divide those to numbers

after dividing those too u get the answer witch would be

-5.862

If the store sold 52 apples total and 20 of the  apples they sold were red, then the ratio of green apples sold to red apples sold is 8:5

Given,

The total number of apples sold in the morning= 52 apples

Number of red apples sold = 20 apples

Number of green apples sold = Total number of apples sold -  Number or red apples sold

Then,

Number of green apples sold = 52-20=32

The ratio of green apples sold to red apples sold = 32:20

We have find the simplest form

\(32:20= \frac{32}{20}\)

Then, divide both numerator and denominator by 4

\(\frac{32}{20}=\frac{8}{5}\)

The ratio = 8:5

Hence, if the store sold 52 apples total and 20 of the  apples they sold were red, then the ratio of green apples sold to red apples sold is 8:5

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Answer:

Plan A last for 30 minutes

Plan B last for 45 minutes

Step-by-step explanation:

There are two plans:

Plan A

Plan B

Monday

Plan A=3 clients

Plan B=2 clients

Total hours=3

Tuesday

Plan A=5 clients

Plan B=6 clients

Total hours=7

The equation for the unknown

3A + 2B=3 (1)

5A + 6B=7 (2)

Multiply (1) by 3 and (2) by (1)

9A + 6B=9 (3)

5A + 6B=7 (4)

Subtract (4) from (3)

4A=2

Divide both sides by 4

4A/4 = 2/4

A=1/2 hours

Substitute A=1/2 into (1)

3A + 2B=3

3(1/2) +2B=3

3/2 + 2B=3

2B= 3 - 3/2

2B= 6-3/2

2B=3/2

Divide both sides by 2

B=3/2÷2

=3/2×1/2

B=3/4 hours

A=1/2 hours

B=3/4 hours

60 minutes=1 hour

A=1/2 hours

1/2 × 60 minutes

=60/2

=30 minutes

B=3/4 hours

=3/4×60 minutes

=180/4

=45 minutes

Plan A last for 30 minutes

Plan B last for 45 minutes

In conclusion, the group defined by the generators a and b and the given relations has an order that is at most 16, although the exact order cannot be determined without further analysis.

To determine the maximum possible order of the group defined by generators a and b and the given relations, we can analyze the relations and their implications.

From the relation b²aª = ab¹abe, we can manipulate it to obtain:

b²a² = ab¹abe

b²a²b¹e = ab¹abe

b²a²b¹ = ab¹ab

We can see that this relation involves the generators a and b, and their exponents. By substituting the relation b²a²b¹ = ab¹ab into itself repeatedly, we can generate more relations and expressions involving a and b.

For example:

b²a²b¹ = ab¹ab

b²a²b¹b²a²b¹ = ab¹abab¹ab

b²a²b¹b²a²b¹b²a²b¹ = ab¹abab¹abab¹abab

By expanding these expressions further, we can create more relations and combinations of a and b. Each new relation or combination leads to additional restrictions on the group elements.

However, it is important to note that we need to consider the closure of the group under these relations. If we encounter a relation that is a consequence of previously derived relations, it does not add any new elements to the group.

Therefore, to determine the maximum possible order of the group, we need to exhaustively analyze and simplify all possible combinations and relations until we reach a point where no new elements or relations are obtained.

Since this process can be complex and time-consuming, it is difficult to provide an exact answer without further analysis. However, based on the given relations, it can be inferred that the maximum possible order of the group is at most 16, considering the combinations and relations obtained thus far.

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Answer:

terminan sus estudios cuando tienen 26 años y 2/3 años de edad

Answer:

interesting

you play cod

I don't believe it

Answer: Its A

Step-by-step explanation:

Answer:

AC is parallel to BD

Step-by-step explanation:

A parallelogram is a quadrilateral with two pairs of parallel sides.