8hr 3min+ 4hr 12 min

The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

learn more about exterior angle theorem from

https://brainly.com/question/17307144

#SPJ1

Answer:

1900 km

Step-by-step explanation:

train = 1050km

bus = 200 less than train or 1050-200 = 850

1050+850=1900

Answer:

625, just got it right

Step-by-step explanation:

The probability that a randomly selected box of cold medicine will cost more than $15 is approximately 0.8413.

To find the probability, we need to calculate the area under the normal distribution curve to the right of $15. We can use the z-score formula to standardize the value of $15 and then look up the corresponding area in the standard normal distribution table or use statistical software.

First, we calculate the z-score:

z = (x - μ) / σ

where x is the value ($15), μ is the mean ($17), and σ is the standard deviation ($4.5).

z = (15 - 17) / 4.5 = -0.4444

Using the standard normal distribution table or a calculator, we find that the area to the left of z = -0.4444 is approximately 0.3581. Since we want the area to the right of $15, we subtract this value from 1 to get the probability of the box costing more than $15:

P(X > $15) = 1 - 0.3581 = 0.6419

Therefore, the probability that a randomly selected box of cold medicine will cost more than $15 is approximately 0.6419 or 64.19%.

Learn more about standard normal distribution here;

https://brainly.com/question/15103234

#SPJ11

To find c, cdf and P(. 1 ≤ X <. 5), the calculation is given.

Suppose that X has the density function f (x) = cx² for 0 ≤ x ≤ 1 and f (x) = 0 otherwise.
a. Find c.
To find c, we need to use the fact that the integral of the density function over the entire range of x should equal 1. That is,
∫0¹ f(x) dx = 1
Substituting the given density function, we get
∫0¹cx² dx = 1
Integrating and simplifying, we get
c(1/3) = 1
Solving for c, we get
c = 3
So, the value of c is 3.
b. Find the cdf.
The cdf is the integral of the density function from the lower limit of x to a given value of x. That is,
F(x) = ∫₀ˣ f(t) dt
Substituting the given density function and simplifying, we get
F(x) = ∫₀ˣ 3t²dt
Integrating and simplifying, we get
F(x) = x³
So the cdf is F(x) = x³
c. What is P(.1 ≤ X < .5)?
To find this probability, we need to find the difference between the cdf at the upper limit and the cdf at the lower limit. That is,
P(.1 ≤ X < .5) = F(.5) - F(.1)
Substituting the cdf that we found earlier, we get
P(.1 ≤ X < .5) = (0.5)³ - (0.1)³
Simplifying, we get
P(.1 ≤ X < .5) = .125 - .001
P(.1 ≤ X < .5) = 0.124
So the probability that X is between .1 and .5 is .124.

You can learn more about density function at: brainly.com/question/30403935

#SPJ11

After set s1.addAll(s2), s1 is [1, 2, 5, 2, 3, 6].

After performing the operation s1.addAll(s2) on sets s1 [1, 2, 5] and s2 [2, 3, 6], the set s1 would become[1, 2, 5, 2, 3, 6].

To determine the value of s1, the following steps has to be taken:

1. Start with sets s1 [1, 2, 5] and s2 [2, 3, 6].

2. Apply the addAll operation with set s2: [2, 3, 6]

3. Add each element from set s2 to set s1, while avoiding duplicates (since sets cannot have duplicate elements).

4. Therefore, suppose if set s1 is [1, 2, 5] and set s2 is [2, 3, 6] then, after s1.addAll(s2), the set s1 becomes [1, 2, 5, 2, 3, 6].

Know more about set here:

brainly.com/question/13458417

#SPJ11

Answer:

C. The x-coordinate should be Three-fourths.

Step-by-step explanation:

Since point A is 0.75 units to the right, it is 3/4 if 4/4 is 100.

Answer:

C. The x-coordinate should be Three-fourths.

Step-by-step explanation:

hope this helps <3

Answer  ~1.41 or sqrt of 2

Step-by-step explanation:

the lines are the diagonal distance of one box apart. each box is one unit use A^2 +B^2 = C^2

1^2+1^2=c^2

1+1=C^2

2=c^2

sqrt(2)=1.414213562

The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm

Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.

The time that school ends = 3:15 pm

The latest time for pick up after school care = 150 minutes after school ends

Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes

60 minutes = 1 hour

150 minutes = (1/60) × 150 = 2.5

The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm

Learn more on unit conversion here: https://brainly.com/question/14614674

#SPJ4

Answer:

bvro how

Step-by-step explanation:

kk

Answer:

5.53 * 10^-1

Step-by-step explanation:

[(6.8 * 10^3) - (7.2 * 10^2)] ÷ 1.1 * 10^4

(6800 - 720) ÷ 11000

6080 ÷ 11000

6.08 * 10^3 ÷ 1.1 * 10^4

(6.08 ÷ 1.1) * 10^3-4

5.527 * 10^-1

= 5.53 * 10^-1

Answer:

(x-7)^2 + (y+3)^2 = 7

Step-by-step explanation:

The equation of a circle is

(x-h)^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x-7)^2 + (y- -3)^2 = (sqrt(7))^2

(x-7)^2 + (y+3)^2 = 7

The cost of admission for Garrett, his 2 parents, his grandmother, and his baby sister would vary depending on the county fair and their individual ages.

Cost is the monetary value of goods, services, or resources in exchange for money. It is the amount of money paid for goods or services, which includes all expenses incurred in the purchase or production of goods or services. Cost is determined by the sum of the total expenses involved in producing or acquiring a good or service. Cost is a major factor in decision-making, as it affects both the cost of production and the price of goods and services.

Generally, most county fairs charge a reasonable rate for children and seniors, and a slightly higher rate for adults.

For Garrett, he would likely qualify for the children's rate, which could range from free to around $10. For the 2 parents and the grandmother, the adult rate would likely apply, which is usually around $15. For the baby sister, some county fairs offer free admission for children under a certain age, while others offer a discounted rate.

Therefore, the total cost of admission for Garrett, his 2 parents, his grandmother, and his baby sister could range from free to around $50, depending on the county fair and the individual ages.

To know more about cost click-
https://brainly.com/question/25109150
#SPJ1

Based on the slopes of both lines, the relationship between both lines is: D. a and b are perpendicular.

The relationship between two lines that are parallel is that they have the same slope, while the relationship between perpendicular lines is that their slopes are negative reciprocals of each other.

Find the slope of the line that passes through (-5, -2) and (-5, -5):

Slope (m) = change in y / change in x = (-5 -(-2)) / (-5 -(-5))

m = (-5 + 2) / (-5 + 5)

m = -3/0 [cannot divide, therefore, the slope is undefined).

The line is therefore a vertical line.

Find the slope of the line that passes through (0, 4) and (5, 4):

Slope (m) = change in y / change in x = (4 - 4) / (5 - 0)

m = 0/5

m = 0

This line is an horizontal line.

In conclusion, the relationship between a vertical and a horizontal line is that they are perpendicular to each other, therefore, the answer is: D. a and b are perpendicular.

Learn more about the perpendicular lines on:

https://brainly.com/question/1202004

#SPJ1

Answer:

Yes.

Step-by-step explanation:

In order to check if an equation is true, plug in the corresponding values for x and y.

Coordinates are written as (x, y). So, x = 3 and y = 6.

Plug in these values to the equation.

6 = 2 * 3

Multiply 2 and 3 to simplify:

6 = 6

This shows that the equation is true when given (3, 6)

Answer:

c. (0,4)

Step-by-step explanation:

Answer: 1squared

Step-by-step explanation:

Answer:

b. 2

c. 4

Step-by-step explanation:

The degree of the polynomial is highest power in the polynomial.

Answer:

\(V=8,448u^3\)

Step-by-step explanation:

The volume of a prism is given by:

\(V=A_{b}*h\)

where \(A_{b}\) is the area of the base, and \(h\)  is the height of thr prism.

We know that the height is:

\(h=22\)u

and the bases of this prism are hexagons.

Thus the area of the base is the area of a regular hexagon:

\(A_{b}=\frac{n*l*a}{2}\)

where \(n\) is the number of sides: for an hexagon: \(n=6\)

\(l\) is the length of each side: \(l=8\)u,

and \(a\) is the apothem: \(a=16u\)

we substitute all of this to find the area of the base:

\(A_{b}=\frac{6*8u*16u}{2}\\ \\A_{b}=\frac{768u^2}{2}\\ \\A_{b}=384u^2\)

and finally we use the formula for the volume:

\(V=A_{b}*h\)

we get the following:

\(V=384u^2*22u\\V=8,448u^3\)

which is the third option

Step-by-step explanation:

Hi, it seems the question is not complete, therefore I'll create an example tailored to the concept of the question you are asking.

1. Cumulative property can be used to change the order of addends and the result remains the same. Therefore the law states that, if a and b are real numbers, then a + b = b + a

Think about adding two numbers, such as 7 and 2.

7 + 2 = 9

2 + 7 = 9

The results are the same.

Notice, the order in which we add does not matter.

2. Associative property, this can be used to regroup addends and the result remains the same: the law states that, if a, b and c are real numbers, then

(a + b) + c = a + (b + c).

Think about three numbers, 4, 3 and 2

(4 + 3) + 2 = 7 + 2 = 9

4 + (3 + 2) = 4 + 5 = 9

The results are the same, notice that the regrouping did not change the final result.

Answer:

Thank You This Helped Alot!

Answer:

14

Step-by-step explanation:

4m - 2m = 10 + 18

2m = 28

m = 14

Step-by-step explanation:

4m-18=2m+10

2m=28

m=14(divide 28/2)

Answer:

3

Step-by-step explanation:

32 - 5v = 3v + 8

Subtract V from both sides

So . .

= 32 -8v = 8

Now . .

Subtract 32 from both sides

Now divide to get your answer!

-24 / -8 = 3

We need to check if lines ℓ and k are parallel. For two lines to be parallel, they must have the same slope and different y-intercepts.Let's compare the given lines:Line ℓ: y = 34x + 6Slope of line ℓ = 34Line k: y = 34x - 7Slope of line k = 34We see that the slope of lines ℓ and k is the same (34), which means that they could be parallel.

However, we still need to check if they have different y-intercepts. Line ℓ: y = 34x + 6 has a y-intercept of 6.Line k: y = 34x - 7 has a y-intercept of -7.So, lines ℓ and k have different y-intercepts, which means they are not parallel. Therefore, the correct answer is b) No.In slope-intercept form, the equation of a line is y = mx + b, where m is the slope of the line and b is its y-intercept. In this case, both lines have the same slope of 34 (the coefficient of x). The y-intercepts are different (+6 for line l and -7 for line k). Thus, the lines are not parallel.

To know more about slope,

https://brainly.com/question/3605446

#SPJ11

The answer is option a) Yes. Lines ℓ and k are parallel to each other.

The two distinct lines defined by the following two equations in slope-intercept form are:

Line ℓ: y = 34x + 6

Line k: y = 34x - 7

To determine if the lines are parallel, we need to compare their slopes since two non-vertical lines are parallel if and only if their slopes are equal.

Both lines are in slope-intercept form, so we can immediately read off their slopes:

Line ℓ has a slope of 34, and line k has a slope of 34.

Both the lines ℓ and k have the same slope of 34.

Hence, the answer is option a) Yes. Lines ℓ and k are parallel to each other.

To know more about lines, visit:

https://brainly.com/question/2696693

#SPJ11

Rounding to 0 decimal places, the Estimated Ultimate Recovery (EUR) for this reservoir is approximately 5,988 MMscf.

To calculate the Estimated Ultimate Recovery (EUR) for the reservoir, we can use the Arps equation, which relates the cumulative production (Q) to time (t) for a declining reservoir:

Q = (b / Di) * ((t + Di)^(-b) - Di^(-b))

Given the following data:

Initial production rate (agi): 165 MMscf/day

Decline rate (Di): 0.09/yr

Hyperbolic exponent (b): 0.51

We want to find the EUR, which is the cumulative production at infinite time (t = ∞).

At infinite time, the Arps equation simplifies to:

EUR = (b / Di) * (Di^(-b))

Substituting the given values into the equation:

EUR = (0.51 / 0.09) * (0.09^(-0.51))

EUR ≈ 5.67 * (1.056)

EUR ≈ 5.98752 MMscf

Rounding to 0 decimal places, the Estimated Ultimate Recovery (EUR) for this reservoir is approximately 5,988 MMscf.

for such more question on Estimated Ultimate Recovery

https://brainly.com/question/3617398

#SPJ8

Answer:  D: Add the fractions together on the right side of the equation

Step-by-step explanation:

Step-by-step explanation:

Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $200 a month and an additional $12 for each album that he sells. Last month he earned a total of $644. Write an equation that represents this situation! Then solve your equation.

644 = 12a + 200

444 = 12a

a = 37