The histogram shows how many jogging runs Maria made for each interval of miles.
( this is what the histogram shown has)
A histogram titled Maria's Monthly Jogging has miles run on the x-axis and number of runs on the y-axis. 1 to 1.99 miles is 2 runs; 2 to 2.99 miles is 5 runs; 3 to 3.99 miles is 5 runs; 4 to 4.99 miles is 3 runs; 5 to 5.99 miles is 4 runs; 6 to 6.99 is 7 runs; 7 to 7.99 miles is 4 runs.

Which statement about the histogram is true?
The majority of Maria’s runs were short, two-mile runs.
More than half Maria’s runs were less than five miles each.
The majority of Maria’s runs were between five and six miles.
At least 15 of Maria’s runs were more than four miles each.

Answers

Answer 1

Answer:

at least 15 of Maria's runs were more than four miles each

Step-by-step explanation:

Answer 2

Answer:

D

Step-by-step explanation:


Related Questions

Find the unit rate.
18 books in 3 boxes = (
books per box

Answers

Answer:

Step-by-step explanation:15 books in 3 boxes =

books per box

Final answer:

The unit rate of 18 books in 3 boxes is 6 books per box, which is obtained by dividing the total number of books by the total number of boxes.

Explanation:

To find the unit rate of books per box when you have 18 books in 3 boxes, you need to divide the total number of books by the total number of boxes. This is a simple division problem:

Write down the number of books and the number of boxes: 18 books, 3 boxes.Divide the number of books by the number of boxes: 18 \/ 3 = 6 books per box.

So, the unit rate is 6 books per box.

What is 7.123 rounded to the nearest whole number?

Answers

7 because 1 is not 5 or higher
The whole number would just be 7. The rule is if the decimal is 1-4 round down and 5-9 round up. Hope this helps! :)

Which statements are true regarding the sequence below? Check all that apply.
It can be represented using the formula f(x + 1) = 5 (f) when f(1) = 10.
It can be represented using the formula f(x) = 4 6 *.
It can be represented using the formula fx) = 10 (6)*-.
The domain of the sequence is all real numbers.
The range of the sequence is all natural numbers.

Answers

It’s a and c

Step-by-step explanation:

The true statements about the given geometric sequence are as follows:

A) It can be represented using the formula f(x + 1) = 6/5(f(x)) when f(1) = 10/3.

C) It can be represented using the formula f (x) = 10/3(6/5)/\x-1

What is geometric series?

The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The given sequence is as follows:

10/3, 4, 24/5, 144/25, ...

The sequence is a geometric sequence with a common ratio of 6/5.

The first term is 10/3, so we can use the formula f(x + 1) = (6/5)(f(x)) to represent the sequence.

We have

f(x) = 10/3

Also, for f(x+1) we can have

x = 1,

f(1)= 10/3

f(2)= 4

So, f(x + 1) = 6/5(f(x))

Thus, the correct options are A and C.

Learn more about geometric series here:

brainly.com/question/21087466

#SPJ7

The complete question is as follows:

Which statements are true regarding the sequence below? Check all that apply.

10/3, 4, 24/5, 144/25, ...

A) It can be represented using the formula f(x + 1) = 6/5(f(x)) when f(1) = 10/3.

B) It can be represented using the formula f (x) = 4 (6/5) /\x.

C) It can be represented using the formula f (x) = 10/3(6/5)/\x-1

D) The Domain of the sequence is all real numbers

E) The range of the sequence is all natural numbers.

Please help quickly!

Answers

Answer:  A

Step-by-step explanation:

Answer a

A is the answer because as you see husband age had went up and never stopped

Find the volume of the cylinder the radius is 4ft and the height is 6 ft

Answers

Answer:

about 301.59

Step-by-step explanation:

You use the volume formula and just plug in the numbers! Hope that was helpful :)

The circumference of a hubcap of a tire is 81.58 centimeters. Find the area of this hubcap

Answers

Answer:

Step-by-step explanation:

Answer:

About 530cm²

Step-by-step explanation:

C=2×pi×radius

81.58=2×3.14×radius

81.58=6.28r

81.58÷6.28=6.28r÷6.28

About 12.99cm is radius.

A=pi×radius²

A=3.14×12.99²

A=3.14×168.7401

A=529.843914

Area is about 530cm²

z/8 + 2 = -15
The solution is z = ______.

Answers

Look at the attached picture

Hope it will help u..

Answer:

Z = -136

Step-by-step explanation:

z/8 + 2 = -15

       -2       -2

Z/8 = -17

Z/8 X 8     -17 X 8

Z = -136

What is the slope of a line perpendicular to y= -5/6x-7?

a. -6/5
b. 6/5
c. -5/6
d. 5/6

Answers

Answer:

it's B

Step-by-step explanation:

Trust me

if an arc of 60 degrees has an arc length of 50pi what is the circumference

Answers

Answer: 300[tex]\pi[/tex]

Step-by-step explanation:

Let's use the arc-length formula to solve this problem, and plug in the values that we have. Arc length is 50[tex]\pi[/tex] and the arc is 60°

Arc-length = [tex]2\pi r (\frac{x}{360})[/tex]

[tex]50\pi =2\pi r(\frac{60}{360})[/tex]

Cancel the [tex]\pi[/tex] and simplify the fraction.

[tex]50 = 2r(\frac{1}{6})[/tex]

Simplify further.

[tex]50 = r(\frac{1}{3} )[/tex]

Pass the 3 to the other side.

[tex]150=r[/tex]

So our radius is 150.

To find the circumference, we use the formula [tex]2\pi r[/tex]

Plug in r.

[tex]2\pi (150) = 300\pi[/tex]

Final answer:

To find the full circumference of a circle, multiply the given arc length for 60 degrees (50π) by 6, yielding a total circumference of 300π.

Explanation:

To find the circumference of a circle when given the arc length of a particular section, we can use the relationship between the arc's degree measure and the circle's total circumference. Since the arc length of 60 degrees is 50π, we recognize that 60 degrees is one-sixth of a circle's full 360 degrees. Therefore, to find the full circumference of the circle, we multiply the arc length by 6 (because 360° / 60° = 6).

50π times 6 equals 300π, which is the circumference of the circle. This process uses the fact that the circumference of the circle is proportionate to the circle's rotation angle, which completes at 360°, corresponding to an angle of 2π radians.

help me with these 3 questions please. aH-

Answers

Answer:

1) 2/7; 43; 3/7

2) C

3) 30; 30; 10; is not; 10; is not

Step-by-step explanation:

1) y + 4/7 = 6/7

y = 6/7 - 4/7

y = 2/7

17 + b = 60

b = 60 - 17

b = 43

6/7 = m + 3/7

m = 6/7 - 3/7

m = 3/7

2) 11.5 - x = 5.25

x = 11.5 - 5.25

x = 6.25

3) he can substitute 30 for t.

He can then multiply ⅓ by 30 to get a product of 10 (⅓ × 30 = 10).

Since 15 is not equal to 10, Harry's solution is not correct

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (4, 1)?
y − 1 = −2(x − 4)
y – 1 = Negative one-half(x – 4)
y – 1 = One-half(x – 4)
y − 1 = 2(x − 4)

Answers

Given:

The line parallel to the given line containing the points (-3,3) and (-2,1).

Also, the parallel line passes through the point (4,1).

We need to determine the equation of the line in slope - intercept form.

Slope:

Since, the two lines are parallel, then their slopes are equal.

Thus, the slope of the parallel line can be determined using the formula,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substituting the points (-3,3) and (-2,1), we get;

[tex]m=\frac{1-3}{-2+3}[/tex]

[tex]m=\frac{-2}{1}[/tex]

[tex]m=-2[/tex]

Thus, the slope of the line is [tex]m=-2[/tex]

Equation of the line:

The equation of the line can be determined using the formula,

[tex]y-y_1=m(x-x_1)[/tex]

Since, the line passes through the point (4,1), let us substitute the point (4,1) in the above formula, we have;

[tex]y-1=-2(x-4)[/tex]

Thus, the equation of the line is [tex]y-1=-2(x-4)[/tex]

Hence, Option a is the correct answer.

Final answer:

To find the equation in point-slope form of a line parallel to the given line and passing through a point, we use the fact that parallel lines have the same slope.

Explanation:

To find the equation in point-slope form of a line parallel to the given line and passing through the point (4, 1), we need to use the fact that parallel lines have the same slope.

The given line has an equation in point-slope form as y - 1 = -2(x - 4). The slope of this line, which is -2, will be the slope of the parallel line we are looking for.

Using the point-slope form equation y - y1 = m(x - x1), and substituting the values y1 = 1, x1 = 4, and m = -2, we can write the equation as y - 1 = -2(x - 4).

Eve knits scarves for her online store. This week she has already knitted 9 scarves. There are 2 days left in the work week. She set
a goal for herself to knit at least 15 scarves and at the most 21 scarves this week Eve wants to know how many scarves she
should knit each day to meet her goal
Which inequality represents the given situation?

Answers

Final answer:

Eve should knit between 3 and 6 scarves each day for the remaining 2 days to meet her goal of knitting at least 15 and at most 21 scarves for the week. The inequality that represents this situation is 3 \<= x \<= 6.

Explanation:

Eve has knitted 9 scarves and wants to knit at least 15 and at most 21 scarves for the week. With 2 days of the workweek left, we need to find out how many scarves she should knit each day to meet her goal. Let's denote x as the number of scarves Eve knits each day for the next two days.

Since Eve has already knitted 9 scarves and wants to knit at least 15, the minimum number of additional scarves she needs to knit is 15 - 9 = 6. So, in 2 days, she must knit at least 6 scarves. This gives us the inequality 2x ≥ 6.

Similarly, the maximum number of scarves Eve aims to knit is 21. Therefore, the maximum number of additional scarves she can knit is 21 - 9 = 12. This leads us to the inequality 2x ≤ 12.

Combining both inequalities, we get 3 ≤ x ≤ 6, which tells us that Eve needs to knit between 3 and 6 scarves each day to meet her goal.

)) Matt's bill for breakfast at a restaurant was $91. He left an 18% tip. What was the total
cost of his breakfast, including tip?

Answers

Answer:

$107.38

Step-by-step explanation:

$91 (the price) multiplied by the percentage 18% (91 x 18 = 1630) (1638/100=16.38 [the tip})

$91 (th original price) + 15.38 (the tip) = $108.38 (final price)

107.38 you take 18 percent of 91 then add it to 91 getting your final total

SIMPLIFY THE EXPRESSION: 2(4+5v)

PLS HELPPPPP ILL GIVE U BRAINLIEST

Answers

Answer:

8+10v

Step-by-step explanation:

Answer:

8+10v

Step-by-step explanation:

Please answer~ 25 points :p

Answers

Answer:

y=15

Step-by-step explanation:

We know that the angles in a triangle add to 180 degrees

∠ABC+∠BAC+∠ACB=180

We don't know what ∠ACB is, but we know it is on a straight line with another angle (∠ACD). They are supplementary, and must add to 180

∠ACB+ ∠ACD=180

∠ACB+146=180

Subtract 146 from both sides

∠ACB=34

Now, we know ∠ABC is 4y+8, ∠BAC is 5y+3 and∠ACB is 34, so we can substitute them in

∠ABC+∠BAC+∠ACB=180

4y+8+5y+3+34=180

Combine like terms

4y+5y+8+3+34=180

9y+45=180

Subtract 45 from both sides

9y=135

Divide both sides by 9

y=15

The histograms below show the heights (in meters) of the tallest buildings in China and the United States.
Which pieces of information can be gathered from these histograms?
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
The United States has the tallest building of these two countries.

(Choice B)
B
China has more buildings over 390390390 meters tall.

(Choice C)
C
None of the above

Answers

Final answer:

Information on the number of tall buildings and their heights in China and the United States can be interpreted from the histograms, with specific focus on the tallest buildings and the number surpassing the 390-meter mark.

Explanation:

From the provided histograms comparing the heights of the tallest buildings in China and the United States, several pieces of information can be gathered. If the histograms indicate that the tallest bar on the chart for China is over the 390-meter mark and more numerous compared to the United States' histogram, then Choice B would be correct, indicating that China has more buildings over 390 meters tall. To verify Choice A, we would need to look at the highest point on both histograms; if the highest bar on the U.S. histogram extends further than the Chinese one, then it would mean the United States has the tallest building of the two. Without seeing the histograms, these judgments are based on typical interpretations of histogram data.

When considering data on tall buildings such as the number of stories and their height, constructing a histogram can help illustrate the frequency distribution of these heights. For example, using the rule of thumb that one story is approximately equal to the height of two adult humans, it is possible to establish some basic estimates for building heights. However, for detailed statistical analysis, including the identification of linear relationships or outliers, the data would need a closer examination, possibly using a least-squares or best-fit line.

5 2/8-3 7/8=? I need help plzz

Answers

Answer:

1 3/8

Step-by-step explanation:

5 2/8 - 3 7/8

= 42/8 - 31/8

= 11/8

= 1 3/8

Make it as the brainliest

Answer:

  1 3/8

Step-by-step explanation:

(5 +2/8) -(3 +7/8) = (5 -3) +(2/8 -7/8)

  = 2 - 5/8 = 1 3/8

__

It is often convenient to do the arithmetic separately for the integers and the fractions, then combine the results.

Of course, you know that 1 = 8/8 so subtracting 5/8 gives you 3/8.

Find the value of X.

Answers

Answer:

x=37

Step-by-step explanation:

We know that the angles in a triangle must add to 180 degrees

So, the three angles: x, 3x-5 and x must be equal to 180

x+3x-5+x=180

Combine like terms

x+3x+x-5=180

5x-5=180

Add 5 to both sides

5x=185

Divide both sides by 5

x=37

Do 3x-5+x+x=180 since all triangles add up to 180 degrees
Then 5x+5=180
Subtract 5 which give you 5x=175
Divide by 5
And your answer is 35 degrees
Then 3x-5+35=180
3x+30=180
Add the 30 to both sides
And divide by 3 on both sides
The other x is 60
X=60,x=35
Hope this helped

WHOEVER FINISHES FIRST I WILL MARK AS BRAINLIEST!!!!

Which number is equivalent to 6%? Select all that apply.
A. 6.0
B. 0.06
C. 0.6
D. 6/100
E. 3/50

Answers

Answer:

B. 0.06

D. 6/100

E. 3/50

How many teenagers should be in the sample

Answers

Answer:

THEREFORE

Step-by-step explanation:

THERE SHOULD BE 7 TEENAGERS IN THE SAMPLE.

HOPE, THIS MAY HELP YOU BRO!!..

The sample should include 18 teenagers, as they constitute 60% of visitors aged 13-19 among the total sample of 30.

To determine the number of teenagers that should be in the sample, we first need to calculate the proportion of teenagers among the total visitors and then apply that proportion to the sample size.

From the cumulative frequency table, we can see that:

- The total number of visitors is 350.

- The number of teenagers (ages 13-19) is 210.

The proportion of teenagers among all visitors is:

[tex]\[\frac{\text{Number of teenagers}}{\text{Total number of visitors}} = \frac{210}{350}\][/tex]

Now, we need to apply this proportion to the sample size of 30 to find out how many teenagers should be in the sample:

[tex]\[\text{Number of teenagers in the sample} = \text{Proportion of teenagers} \times \text{Sample size}\][/tex]

[tex]\[\text{Number of teenagers in the sample} = \frac{210}{350} \times 30\][/tex]

[tex]\[\text{Number of teenagers in the sample} = \frac{3}{5} \times 30\][/tex]

[tex]\[\text{Number of teenagers in the sample} = 18\][/tex]

So, there should be 18 teenagers in the sample.

bonnie runs 1 2/3 times as far as john each day if bonnie runs 5 miles on monday 3 1/2 miles on tuesday and 5 3/4 miles on wednesday how many miles did john run in all those three days

Answers

Answer:

3 miles on Monday

2¹/₁₀ miles on Tuesday

3⁹/₂₀ miles on Wednesday

Step-by-step explanation:

We are told that Bonnie runs 1⅔ (⁵/₃) times as far as John each day

This means that John runs ³/₅ times as far as Bonnie.

MONDAY:

Bonnie runs 5 miles on Monday, therefore, John runs:

³/₅ * 5 = 3 miles

TUESDAY:

Bonnie runs 3½ (⁷/₂) miles on Tuesday, therefore, John runs:

³/₅ * ⁷/₂ = ²¹/₁₀ = 2¹/₁₀ miles

WEDNESDAY:

Bonnie runs 5³/₄ (²³/₄) miles on Wednesday, therefore, John runs:

³/₅ * ²³/₄ = ⁶⁹/₂₀ = 3⁹/₂₀ miles

Solve the equation if 0 degrees<=x<=360 degrees.
cosx= -1/2

Answers

Answer:

Step-by-step explanation:

hello :

cosx= -1/2    0°≤x≤360°

x = 120°

x=240°

need math help!! answer choices are 80 , 40, 20, and 60

Answers

Answer:

60

Step-by-step explanation:

The corresponding angles of the triangles are given, y + 10 and 2y - 40. You need to first find the value of the variable (in this case, y), and to do this, you need to set them equal to one another:

y + 10 = 2y - 40

Subtract y from both sides:

y + 10 = 2y - 40

-y          -y

____________

10 = y - 40

Add 40 to both sides:

10 = y - 40

+40    +40

________

50 = y

Now that we have the value of y, you need to plug the value into one of the expressions (either one will come out with the same answer):

y + 10

50 + 10 = 60

OR

2y - 40

2(50) - 40

100 - 40 = 60

Hola cockeroaches, answer this again

Answers

Answer:

5- 48

6- 1.5

7-324

Step-by-step explanation: You have to plug in the numbers for the variables

a times c = 12 times 4 =48

1/2 times B= 1/2 times 3= 3/2 = 1/5

A times b times d = 12 times 3 times 9 = 324

How do the slopes of the lines created by each table compare?

Answers

Answer:

The Correct Answer is B

Step-by-step explanation:

Answer:

The correct answer is B. The slope of the Wholesale table is Three-fourths of the slope of the Public table.

Step-by-step explanation:

Translate this phrase into an algebraic expression:
500 increased by twice Matt's savings

Use the variable m to represent Matt's savings.

Answers

Answer:

  500 +2m

Step-by-step explanation:

  500 "increased by" "twice Matt's savings"

translates to ...

  500            +                     2m

__

Your algebraic expression is ...

  500 +2m

Answer:

500 + 2m

Step-by-step explanation:

m represents Matt's savings. So 2m is twice that.

500 increased  by that means add them, so you get 500 + 2m

The equation (x+h)(x+5)=0 has solutions of -5 and 6. What is the value of h.

Answers

Answer:

h = -6

Step-by-step explanation:

To solve this problem, plug in the values of either -5 or 6 into the equation for x. Then, simplify. Let's begin by plugging 6 in.

(6 + h)(6 + 5) = 0

I like to use the acronym FOIL for problems like these: first, outside, inside, last.

To start, multiply the first terms, 6 and 6. The answer is 36.

Next, multiply the outside terms, 6 and 5. The answer is 30.

Then, multiply the inside terms, h and 6. The answer is 6h.

Finally, multiply the last terms, h and 5. The answer is 5h.

Add all the products together.

36 + 30 + 6h + 5h = 11h + 66

The equation becomes 11h + 66 = 0.

Now, subtract 66 from both sides to isolate h.

11h = -66

Then, divide both sides by 11 to further isolate h.

h = -6

You have your final answer, h = -6.

Finding Leg Lengths. Find the length of a leg in the 45°-45°-90°
triangle.

Answers

Answer:

12. [tex]x=10[/tex]

13. [tex]x=4[/tex]

14. [tex]x=5[/tex]

15. [tex]x=1[/tex]

16. [tex]x=8[/tex]

17. [tex]x=14[/tex]

Step-by-step explanation:

for these i also used the pythagorean theorem ([tex]a^{2}+b^{2}=c^{2}[/tex])

[tex]a[/tex] and [tex]b[/tex] are the legs, [tex]c[/tex] is the hypotenuse

12.

[tex]x^{2} +x^{2} =(10\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =200[/tex]

[tex]x^{2} =100[/tex]

[tex]x=10[/tex]

13.

[tex]x^{2} +x^{2} =(4\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =32[/tex]

[tex]x^{2} =16[/tex]

[tex]x=4[/tex]

14.

[tex]x^{2} +x^{2} =(5\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =50[/tex]

[tex]x^{2} =25[/tex]

[tex]x=5[/tex]

15.

[tex]x^{2} +x^{2} =(\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =2[/tex]

[tex]x^{2} =1[/tex]

[tex]x=1[/tex]

16.

[tex]x^{2} +x^{2} =(8\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =128[/tex]

[tex]x^{2} =64[/tex]

[tex]x=8[/tex]

17.

[tex]x^{2} +x^{2} =(14\sqrt{2} )^{2}[/tex]

[tex]2x^{2} =392[/tex]

[tex]x^{2} =196[/tex]

[tex]x=14[/tex]

Which of the following graphs shows a pair of lines that represent the equations with a solution (−2, 5)?

A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 2 units to the right and 5 units down.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 5 units to the right and 2 units down.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 5 places to the left and 2 units up.
A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 2 units to the left and 5 units up.

Answers

Answer:

Substitution.

Step-by-step explanation:

x+y=2

y=-x+2

2x+(-x+2)=4

x=2

(2)+y=2

y=0

Solution: (2,0)

Answer:

subsitution

Step-by-step explanation:

Explain how you find the median of a set of date that has an even number of data points.

Answers

Answer:

find the average of the 2 numbers in the direct middle.

Step-by-step explanation:

1,2,4,4,4,4,6,6,6,6,6,6

4,6

4+6=10

10/2=

=5

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You observe a market price of $78.50 for the stock. Should you purchase this stock? Anglo-American markets is a term used to describe business markets in: North, Central, and South America. the United States, Canada, and Western Europe. the United States, United Kingdom, Canada, Australia and New Zealand. the United States, France, Britain, and Germany. HELP!!! Can someone answer this question for me?? Determine ratio of A to B. Round as indicated.A = 36 square inches is the area of a circle with diameter 12 inches . B = 144 square inches is the area of a square with sides of length < 12 inches .a.) 4/ b.) 6/ c.) /4 d.) /6 Someone who is able to speak two languages is considered (Complete the sentences using the correct form of the verb To De).1. Ella_de Argentina.2. Yo no_ muy alto.3. Ustedes rpidos.4. Nosotros_buenos amigos.5. Ellas muy bonitas.6. l_chistoso.7. El profesor y yo__ _amigos.8. Las uvas_moradas.Escribe dos oraciones usando dos formas diferentes del verbo ser. (Write two Help me please!!! Help me understand why sin2x+cos3x. Equals = 2sinxcosx+4cosx-3cosxUse the double identity 1. Andre drinks 15 ounces of water, which is 35% of a bottle. How much does the bottle hold?Use for the number of ounces of water the bottle holds.Equation:Solution: An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 334 people living in East Vancouver and finds that 43 have recently had the flu. Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.03. How large a sample should she take to achieve this? what are the steps to find the lower and upper quartiles in a data set Choosing Your Target Market The communication process begins with selecting a target audience -- the group with whom Take-A-Ride will be communicating. Which target market would be the most likely to find the bike-share program valuable, and thus be the most profitable for the firm?1. Charleston college students2. Tourists3. Charleston resident The supplementary angles differ by 24. Write two equations and find the two anglesHELP! On December 28, 2021, Videotech Corporation (VTC) purchased 15 units of a new satellite uplink system from Tristar Communications for $26,000 each. The terms of each sale were 1/10, n/30. VTC uses the gross method to account for purchase discounts and a perpetual inventory system. VTC paid the net-of-discount amount on January 6, 2022. Prepare the journal entries on December 28 and January 6 to record the purchase and paymen In the process of isolating DNA for transcription and translation, you digest the DNA with BamHI ad ligate the gene into a plasmid vector. However, even though all of the controls work, no transcription is obtained using your fragment. Working backward, you note that restriction digestion has removed approximately 250 base pairs from the 5' end of the gene. What is a possible explanation for this observation? Raymond, a 78-year-old man living in a motel, is found by the housekeeper lying on the floor of his room, semiconscious. The motel manager calls 911, and Raymond is taken to the closest emergency room, where he lies on a gurney in the hallway for 6 hours before a physician examines him. Because it is unclear what is wrong with him and he cannot speak coherently, the physician admits him to the hospital for observation. Later, when it is determined that he had suffered a stroke; he is discharged to an inpatient rehabilitation facility that has no knowledge of his medical history including his current medications for hypertension and high cholesterol. He dies there several weeks later.1. Identify the source(s) of inefficiency of medical care.2. Identify the source(s) of reduced quality of care.3. Discuss three (3) changes to the medical care delivery system that could have improved the patients outcome. g Show that the first derivative of the magnitude of the net magnetic field of the coils (dB/dx) vanishes at the mid- point P regardless of the value of s. Why would you expect this to be true from symmetry? (b) Show that the second derivative (d2 B/dx2 ) also vanishes at P, provided s R. This accounts for the uniformity of B near P for this particular coil separation. After the communists gained control of China in 1949,a.the United States repudiated the leadership of Jiang Jieshi. b.staunch anti-communists accused President Truman of losing China to the communists. c.most Americans recognized that their triumph resulted from a long internal conflict within that country. d.Secretary of State Dean Acheson claimed that the United States could have prevented the communist takeover. The ratio of nonfiction books to fiction books in a library is 105 to 189. Which statement describes this relationship? A) There are 5 nonfiction books for every 9 fiction books in the library. B) There are 9 fiction books for every 5 nonfiction books in the library. C) There are 5 nonfiction books for every 14 books in the library. D) There are 9 fiction books for every 14 books in the library.