Given: ΔABC is a right triangle. AC = 20 BC = 5 Determine the length of the missing side of ΔABC. When applicable, simplify radicals and show all of your work.

Answers

Answer 1

Answer:

[tex]AB=5\sqrt{15}\ units[/tex]

Step-by-step explanation:

we know that

In the right triangle ABC

we have

[tex]AC=20\ units[/tex] ----> is the hypotenuse

[tex]BC=5\ units[/tex] ----> is a leg

[tex]AB=?\ units[/tex] ----> is a leg

see the attached figure to better understand the problem

Applying the Pythagorean Theorem

[tex]AC^2=AB^2+BC^2[/tex]

substitute the given values

[tex]20^2=AB^2+5^2[/tex]

solve for AB

[tex]AB^2=20^2-5^2[/tex]

[tex]AB^2=375[/tex]

[tex]AB=\sqrt{375}\ units[/tex]

simplify

we know that

[tex]375=(25)(15)=5^2(15)[/tex]

substitute

[tex]AB=\sqrt{5^2(15)}\ units[/tex]

[tex]AB=5\sqrt{15}\ units[/tex]

Given: ABC Is A Right Triangle. AC = 20 BC = 5 Determine The Length Of The Missing Side Of ABC. When

Related Questions

Three-fourths of a number multiplied by seven

Answers

It’s 5.25 But if u round it to the nearest 10th it’s 5.3

Answer:

5 1/4 or 5.25

Step-by-step explanation:

Multiplying fractions means that we can multiply the numerator by the numerator and the denominator by the denominator straight across without needing a common denominator.

3*7 = 21

4*1 = 4

We end up with the improper fraction 21/4. We can convert this into a mixed number.

Because 4 goes into 21 a total of 5 times with 1 left over, we end up with the mixed number of 5 1/4, or as a decimal, 5.25

Item 14 Question 1 You have at most $60 to spend on trophies and medals to give as prizes for a contest. A drawing of a trophy and some medals are shown. The trophy is labeled 12 dollars each and the medals are labeled 3 dollars each. a. Write an inequality that represents the numbers of trophies x and medals y you can buy. The inequality is:

Answers

Answer:

[tex]12x+3y\leq 60[/tex]

Step-by-step explanation:

Let

x ----> the numbers of trophies you can buy

y ----> the numbers of medals  you can buy

we know that

The term "at most" means "less than or equal to"

so

The number of trophies multiplied by $12 plus the number of medals multiplied by $3 must be less than or equal to $60

The inequality that represent this situation is

[tex]12x+3y\leq 60[/tex]

[tex]3x + 12y\leq 60[/tex]

Step-by-step explanation:


1. Write the first ten multiples of these pairs of number and find their LCM
a) 2, 3

Answers

Answer:

Multiples:

2: 2 4 6 8 10 12 14 16 18 20

3: 3 6 9 12 15 18 21 24 27 30

The LCM is 6 (underlined)

593.5625 as a whole number and remainder.

Answers

Answer:

whole number: 593remainder: 0.5625

Step-by-step explanation:

Here, the "whole number" is the portion of the number to the left of the decimal point: 593.

The "remainder" is the portion left after the whole number is subtracted: 0.5625.

how is it possible that all proportional relationships are linear functions but not all linear functions are proportional relationships

Answers

Step-by-step explanation:

A line that passes through the origin is proportional (y = mx).  But a line that doesn't pass through the origin isn't proportional (y = mx + b).  So all proportional relationships are linear, but not all linear relationships are proportional.

proportional relationship is just a linear relationship where the line passes through the origin (0, 0).


A boy has 10 cookies. His sister has 2.5 times as many. How many does the sister have?

Answers

If the boy has 10, and his sister has 2 1/2 times as many as him, you would first multiply 10 times 2 to get 20. After that you would automatically 1/2 of 10 is 5, which would bring you to the conclusion that his sister has 25 cookies. Thus, you answer is 25 cookies.

Answer:

25

Step-by-step explanation:

10×2.5=25

and heres some other random stuff so brainly will let me tell you this

Annie brought 10 bagels to school, 7 of which are Asiago cheese.
If Annie randomly gives away 5 bagels to teachers, what is the probability that e
the chosen bagels are Asiago cheese?

Answers

Answer:

The probability that 5 chosen bagels of which exactly 3 are Asiago cheese = 0.3087 or 30.87%

Step-by-step explanation:

Given:

Total  bagels brought to school = 10

Number of Asiago cheese bagels = 7

To find the probability of randomly choosing 5 Asiago cheese bagels of which exactly 3 are Asiago cheese.

Solution:

Let probability of choosing an Asiago cheese bagel be the successful event.

Probability of choosing one Asiago cheese bagels = [tex]\frac{7}{10}=0.7[/tex]

Probability of success = 0.7

Probability of failure ( not choosing an Asiago cheese bagel) = 1 - Probability of success = [tex]1-0.7=0.3[/tex]

Using Bernoulli Trials

To calculate the binomial probability of obtaining  exactly [tex]r[/tex] events in [tex]n[/tex] trials the formula used is:

⇒ [tex]nCr.p^r.q^{(n-r)}[/tex]

where [tex]p\rightarrow[/tex] Probability of success

[tex]q\rightarrow[/tex] Probability of failure

Thus,  probability of randomly choosing 5 Asiago cheese bagels of which exactly 3 are Asiago cheese can be calculated as :

⇒ [tex]5C3(0.7)^3(0.3)^2[/tex]

⇒ [tex]\frac{5!}{(5-3)!3!}(0.343)(0.09)[/tex]

⇒ [tex]\frac{5!}{(2)!3!}(0.343)(0.09)[/tex]

⇒ [tex]10(0.343)(0.09)[/tex]

⇒ [tex]0.3087\ or\ 30.87\%[/tex] (Answer)

The school store sells packs of 12 pens for $2.40.

Select the three unit rates that describe this sale.

CLEAR CHECK

$0.20 per pen


$2.40 per pack of pens


5 pens per dollar


120 pens per $24
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Answers

For this case we can express the rates as:

[tex]\frac {2.40} {12} * \frac {dollars} {pen} = 0.2 \frac {dollars} {pen}[/tex]

Option A

[tex]\frac {12} {2.40} * \frac {pen} {dollars} = 5 \frac {pens} {dollar}[/tex]

Option C

If the pen package contains 12, then the cost of the package is $2.40.

Option B

Answer:

Option A, B, C

Answer: 1, 2, and 3

Step-by-step explanation: I did the question

HELP PLEASE I NEED HELP I DONT UNDERSTAND THIS

Answers

Answer:

t=44°

Step-by-step explanation:

The sum of the interior angles of any pentagon is always 540 degrees.

Let's set up an equation with this information: (all figures are in degrees)

[tex]t+3t+t+32+149+139=540[/tex]

Now we combine all like terms.

[tex]5t+320=540[/tex]

Now begin to isolate t be subtracting 320 from both sides.

[tex]5t=220[/tex]

Finally divide both sides by 5 to isolate t.

t=44°

T==44 is the Andretti because

Find X if possible please?

Answers

Check the picture below.

if a rectangle has an area of 6 2/3 and a length of 2 1/2 inches what is the width of the rectangle ​

Answers

Answer:

Step-by-step explanation:

which line is parallel to the line given below? y= -4/3x + 1

Answers

Answer:

The line which is parallel to the given line [tex]y=-\frac{\bf 4}{\bf 3}x+{\bf 1}[/tex] is [tex]y=-\frac{\bf 4}{\bf 3}x+{\bf 2}[/tex]

Step-by-step explanation:

Given that the equation of the line is

[tex]y=-\frac{4}{3}x+1\hfill (1)[/tex]

To find the equation of the line is parallel to the given line equation.

We know that the given equation is in the slope intercept form

y=mx+c where m is the slope and c is the intercept.

Compare with given equation(1) we get

[tex]m=-\frac{4}{3}[/tex]  and c=1

Now change the y intercept c=1 to a intercept of c= 2

Therefore (1) becomes

[tex]y=-\frac{4}{3}x+2[/tex]

The above equation of the line is the parallel line to the given equation of the line

Answer:

3x - 4y = -28

Step-by-step explanation:

For a circle with a radius of 15 cm, what is the length of an arc intercepted by an angle measuring 120°?

Answers

Answer: 31.43 cm

Step-by-step explanation:

The length of an arc  is calculated using the formula:

[tex]\frac{theta}{360}[/tex] X 2[tex]\pi[/tex]r

where : theta is the angle in degree

r = radius

If the angle is given in Radian , the length can be calculated using the formula:

L = r∅

Since , the angle is given in degree , we will use the first formula.

L = [tex]\frac{theta}{360}[/tex] X 2[tex]\pi[/tex]r

L = [tex]\frac{120}{360}[/tex] X 2 X π X 15

L = [tex]\frac{1}{3}[/tex] X 2 X [tex]\frac{22}{7}[/tex] X 15

L = [tex]\frac{660}{21}[/tex]

L = 31.42857143

L ≈ 31.43 cm

Can someone tell me the answer to this please!!!

Answers

the answer is 38

16+18+4

Answer:

46

Step-by-step explanation:

The picture are irrelevant and is used to trick you.

Let swirly hair = s

Let curly hair = c

Let flat hair = f

Ok, now we can rewrite the picture in math terms

s = 16

c = 2 + s = 2 + (16) = 18

s = 4 + f → f = s - 4 = (16) - 4 = 12

s + c + f = 16 + 18 + 12 = 46

How is 0.624 written in a expanded form?

Answers

0+6/10+2/100+4/100

Hope this helped! (plz mark me brainliest)

what is 3+ 11t - 9u when t = 9 and u = 11.

Answers

Answer:

3

Step-by-step explanation:

3+11t-9u=3+11(9)-9(11)=3+99-99=3

the answer would be 3.

3+11(9)-9(11) = 3

A culture started with 3,000 bacteria. After 8 hours, it grew to 3,300 bacteria. Predict how many bacteria will be present after 12 hours. Round your answer to the nearest whole number.

Answers

Answer:

[tex]3,462\ bacteria[/tex]

Step-by-step explanation:

In this problem we have a exponential function of the form

[tex]y=a(b^x)[/tex]

where

x is the time in hours

y is the numbers of bacteria

a is the initial value

b is the base

r is the rate of growth

b=(1+r)

we have that

[tex]a=3,000\ bacteria[/tex]

For x=8, y=3,300

substitute in the exponential function

[tex]3,300=3,000(b^8)[/tex]

solve for b

[tex]1.1=(b^8)[/tex]

[tex]b=\sqrt[8]{1.1}[/tex]

[tex]b=1.0120[/tex]

Find the value of r

[tex]r=b-1=1.0120-1=0.0120=1.20\%[/tex]

The equation is equal to

[tex]y=3,000(1.012^x)[/tex]

For x=12 hours

substitute the value of x in the equation

[tex]y=3,000(1.012^{12})[/tex]

[tex]y=3,462\ bacteria[/tex]

The number of bacteria in a petri dish is multiplied by a factor of 1.2 every hour. There were initially 500
bacteria.
Which expression gives the number of bacteria after 3 hours?

Answers

The expression that gives the number of bacteria after 3 hours is

500 x  1.2³.

Given,

The number of bacteria in a petri dish is multiplied by a factor of 1.2 every hour.

There were initially 500 bacteria.

We need to find an expression that gives the number of bacteria after 3 hours.

How do we get the final value of a number that gets multiplied by 2 every interval of time?

Suppose we have a number 3 that gets multiplied by 2 every 1 minute.

So in 3 minutes, we have,

3 x 2 = 6

6 x 2 = 12

12 x 2 = 24

We see that we need to multiply the previous answer by the required factor till the required number of times.

We have,

The initial number of bacteria = 500

The number of bacteria in a petri dish is multiplied by a factor of 1.2 every hour.

This means the number of bacteria after one hour:

= 500 x 1.2

= 600 bacteria

After two hours,

= 600 x 1.2

= 720 bacteria

After 3 hours

= 720 x 1.2

= 864 bacteria

The expression that gives the number of bacteria is 500 x [tex]1.2^{h}[/tex] where h is the number of hours.

Learn more about how to write expressions where the amount gets multiplied per hour here:

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Final answer:

The number of bacteria after 3 hours, given an initial count of 500 and a growth factor of 1.2 per hour, can be calculated as 500 × 1.2^3, resulting in 864 bacteria.

Explanation:

The number of bacteria in a petri dish growing exponentially can be modeled mathematically. If the number of bacteria is multiplied by a factor of 1.2 every hour, and we began with 500 bacteria, the expression for the number of bacteria after 3 hours can be found using exponential growth formula.

To find the number of bacteria after 3 hours, we would start with the initial amount of 500 bacteria and multiply it by 1.2 for each hour that passes. Therefore, after 3 hours, the expression would be:

Number of bacteria after 3 hours = Initial number × (growth factor)number of hours = 500 × 1.23

Using a calculator, we can compute this to find:

500 × 1.23 = 500 × 1.728 = 864

Thus, there would be 864 bacteria in the petri dish after 3 hours.

Which equation is equivalent to 3logx+log2=log3x-log2

Answers

Step-by-step explanation:

[tex]3\log x+\log2=\log3x-\log2\\\\\text{Domain:}\ x>0\\\\\text{Use}\\\\\log_ab^c=c\log_ab\\\\\log_ab+\log_ac=\log_a(bc)\\\\\log_ab-\log_ac=\log_a\left(\dfrac{b}{c}\right)\\===================\\\log x^3+\log2=\log\left(\dfrac{3x}{2}\right)\\\\\log(2x^3)=\log\left(\dfrac{3}{2}x\right)\iff2x^3=\dfrac{3}{2}x\qquad\text{subtract}\ \dfrac{3}{2}x\ \text{from both sides}\\\\2x^3-\dfrac{3}{2}x=0\qquad\text{multiply both sides by 2}\\\\4x^3-3x=0\qquad\text{use distributive property}\\\\x(4x^2-3)=0\iff x=0\ \vee\ 4x^2-3=0[/tex]

[tex]x=0\notin\ \text{Domain}\\\\4x^2-3=0\qquad\text{add 3 to both sides}\\\\4x^2=3\qquad\text{divide both sides by 4}\\\\x^2=\dfrac{3}{4}\Rightarrow x=\pm\sqrt{\dfrac{3}{4}}\\\\x=\pm\dfrac{\sqrt3}{\sqrt4}\\\\x=-\dfrac{\sqrt3}{2}\notin \text{Domain}\\\\\boxed{x=\dfrac{\sqrt3}{2}}\in \text{Domain}[/tex]

The equivalent equation to 3logx + log2 = log3x - log2 is x² = 3/4, which is derived by applying properties of logarithms such as combining log terms and setting the resulting expressions equal to each other.

The equation 3logx + log2 = log3x - log2 can be simplified using the properties of logarithms. To find the equivalent equation, we use the property that log(a) + log(b) = log(ab) and log(a) - log(b) = log(a/b). Applying these properties:

Combine the terms on the left: 3logx + log2 = log(2x³).Combine the terms on the right: log3x - log2 = log(3x/2).Set the expressions equal to each other: log(2x³) = log(3x/2).Remove the logarithms since if log(a) = log(b), then a = b: 2x³ = 3x/2.Multiply both sides by 2 to remove the fraction: 4x³ = 3x.Divide both sides by x, assuming x ≠ 0: 4x² = 3.Finally, divide by 4: x² = 3/4.The solutions are x = ±√(3/4).

The equivalent equation is x² = 3/4 or x = ±√(3/4), provided that x ≠ 0 since the logarithm of zero is undefined.

Solve for z.
In 63 = In z + In 7

Answers

ln z + ln 7 = ln 63

When adding two logarithms of the same base, you can combine them into a single logarithm where the input is the product of both previous inputs

ln 7z = ln 63

Take the exponential of e to both sides

7z = 63

Divide both sides by 7

z = 9

Let me know if you need any clarifications, thanks!

NEED HELP ASAP!!
why we can multiply by the reciprocal of a fraction when completing a division problem?

Answers

Answer:we multiply by the reciprocal of a fraction when completing a division problem because it is a rule in mathematics that when you divide two fraction, you change the division sign to multiplication and flip the fraction at the right of the multiplication sign.

Step-by-step explanation:

For example if you have 4÷ 1/2. It basically means how many 1/2 can one get in 4. And the answers is 8.

Therefore multiplying by the reciprocal of a fraction when completing a division problem is a short cut method that has been tested and proven to be correct.

If function g has the factors (x − 7) and (x + 6), what are the zeros of function g?

A.
-7 and 6
B.
-6 and 7
C.
6 and 7
D.
-7 and -6

Answers

Answer:

B)

Step-by-step explanation:

Do the zero property.

x-7=0, x+6=0

x=0+7=7,

x=0-6=-6

Answer:

b 100% true

Step-by-step explanation:

write the first five terms of the sequence by the recursive formula t1=2 and tn=tn-1+3​

Answers

Answer:

T1 =2 , Tn = 1 /tn-1 For The Geometricseries 6 + 3 + 3/2 + 3/4 + .

Step-by-step explanation:

Answer:

2, 5, 8, 11, 14

Step-by-step explanation:

Find the first 5 terms by substituting n = 2, 3, 4, 5 into the recursive formula

t₂ = t₁ + 3 = 2 + 3 = 5

t₃ = t₂ + 3 = 5 + 3 = 8

t₄ = t₃ + 3 = 8 + 3 = 11

t₅ = t₄ + 3 = 11 + 3 = 14

The first 5 terms are 2, 5, 8, 11, 14

Find the interquartile range.
6,8,9, 30, 30, 36, 38, 54, 64, 70, 75, 81, 93

Answers

Based on the calculations, the interquartile range of a data set is equal to 53.

In order to determine the statistical measures or the five-number summary, we would arrange the data set in an ascending order:

6,8,9, 30, 30, 36, 38, 54, 64, 70, 75, 81, 93

Based on the data set, the first quartile can be calculated as follows;

First quartile = [(n + 1)/4]th term

First quartile = (13 + 1)/4

First quartile = 3.5th term

First quartile = (30+9)/2

First quartile =  19.5.

For the third quartile, we have:

Third quartile = [3(n + 1)/4]th term

Third quartile = 3 × 3.5th term

Third quartile = 10.5th term

Third quartile = (75+70)/2

Third quartile = 72.5

Mathematically, the interquartile range of a data set is the difference between third quartile (Q₃) and the first quartile:

Interquartile range of data set = Third quartile - First quartile

Interquartile range of data set = 72.5 - 19.5

Interquartile range of data set = 53.

How many yards are in 7 3/5 feet?

A. 15 1/5
B. 3 4/5
C. 2 8/15
D. 22 4/5


Please help me!

Answers

Answer:

22 4/5 yards

Step-by-step explanation:

(7 3/5) x 3 = 22 4/5

To convert 7 3/5 feet to yards, you use the conversion 1 yard = 3 feet. After converting the mixed number to an improper fraction, you divide by 3, yielding the answer 2 8/15 yards, which corresponds to option C.

To convert feet to yards, we can use the conversion factor that 1 yard is equal to 3 feet. Since the student needs to find out how many yards are in 7 3/5 feet, we can convert mixed numbers to improper fractions to simplify the calculation.

The mixed number 7 3/5 can be converted to an improper fraction by multiplying the whole number 7 by the denominator 5 and adding the numerator 3, then placing the result over the original denominator: (7 * 5) + 3 = 35 + 3 = 38, so 7 3/5 becomes 38/5.

To convert 38/5 feet to yards, divide by 3 because there are 3 feet in 1 yard:

38/5 feet * 1 yard/3 feet = (38/5)/3 = 38/5 * 1/3

This simplifies to 38/5 * 1/3 = 38/15 yards

Then divide 38 by 15 to get 2 with a remainder of 8, so we have 2 and 8/15 yards.

Therefore, the answer is C. 2 8/15 yards.

86 as a fraction in simplest form

Answers

Answer:

86/1

Step-by-step explanation:

6) When a teacher counted her students in groups of 4, there were 2 students left over. When she counted them in groups of 5, she had 1 student left over. If 15 of her students were girls, and she had more girls than boys, how many students did she have??

This needs to be shown full work for full credit on my college math class I need help it’s due this Wednesday!!!

Answers

Answer:

The solution is that there are 26 students in her class

Step-by-step explanation:

We know that 15 of her student are girls, and since there are more girls than boys in the class, there can at most be 15+14= 29 students in her class.

We need to find a number x between 16 (in the case where there is only one boy in the class) and 29, for which x/4 gives a remainder of 2, and x/5 gives a remainder of 1.

The numbers between 16 and 29, which when divided by 4 gives a remainder of 2 are:

18, 22, and 26

You can check yourself that these give a remainder of 2.

So it is one of these numbers. But the solution must also fulfill that the number divided by 5 gives a remainder of 1.

18/5 = 15 + remainder=3

22/5 = 4 + remainder=2

26/5 = 5 + remainder=1

Thus the only possible solution is 26.

To find the total number of students, we can use modular arithmetic and the Chinese Remainder Theorem. The number of students is 40k + 27, where 'k' is an integer.

To solve this problem, we can use the concept of modular arithmetic. Let's assume the number of students as 'x'. We are given that when the students are divided into groups of 4, there are 2 students left over. This can be written as x % 4 = 2. Similarly, when the students are divided into groups of 5, there is 1 student left over, which can be written as x % 5 = 1.

To find the value of 'x', we can solve these congruences simultaneously. One way to solve this is by brute force by trying different values of 'x'. However, a more efficient approach is to use the Chinese Remainder Theorem. By solving the congruences, we get x ≡ 21 (mod 20). This means that the number of students can be expressed as x = 20k + 21, where 'k' is an integer.

Since we are given that there are 15 girls and more girls than boys, we can say that the number of boys is 'x - 15'. Substituting the value of 'x' from the previous equation, we get the number of boys as 20k + 21 - 15 = 20k + 6. Therefore, the total number of students is 20k + 21 + 20k + 6 = 40k + 27.

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26 eggs in a carton were broken. this was 5% of the total number of eggs in the carton. how many eggs were in the carton altogether?

Answers

Answer:

520 eggs

Step-by-step explanation:

5%*2 is 10%.

10%*10 is 100%,that is the full carton of eggs.

26*2*10 is 520.

There were 520 eggs in the carton altogether.

Hope this helps :)

To find the total number of eggs in the carton, we use the information that 26 eggs (5% of the total) were broken. By solving the equation 0.05x = 26, we determine there were 520 eggs in the carton.

The question at hand is, "26 eggs in a carton were broken. This was 5% of the total number of eggs in the carton. How many eggs were in the carton altogether?"

To solve this problem, let us consider the total number of eggs in the carton as x. Given that 5% of x is equal to 26 eggs, we can write this relationship as an equation: 0.05x = 26. To find x, we divide both sides of the equation by 0.05, yielding x = 26 / 0.05. Calculating this result, we find that x = 520.

Therefore, there were 520 eggs in the carton altogether.

write the ratio as a fraction in simplest form
30 to 18

Answers

30/18 = 10/6 = 5/3 hope this helps!

Answer:

5/3

Step-by-step explanation:

30/18=5/3

The inside dimensions of a box are 12 inches long, 5 inches wide, and 2 inches deep. How many cubic inches does it contain?

Answers

The answer is 120 cubic inches.

There are 120 cubic inches contained inside the box.

What is meaning of volume?

The volume of space occupied by a substance or item, or the space enclosed within a container.

What is the volume of cuboid?

Volume = L * B * H (unit^3)

Given length of the cuboid = 12 inches

Given breadth of the cuboid = 5 inches

Given height of the cuboid = 2 inches

Volume of cuboid = 12 * 5 * 2 = 120 inch^3

Hence there are 120 cubic inches contained inside the box.

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Therefore, people should go back to buying, washing and reusing cloth diapers and Earths precious natural resources would not be consumed so rapidly. This argument depends of which of the following assumptions? ____________________ is any rock sufficiently enriched in one or more minerals to be mined profitably help.....meh...please. Information from the records of the Conundrum Company for September 2018 was as follows:Sales$307,500Selling and administrative expenses52,500Direct materials used66,000Direct labor75,000Variable factory overhead50,000Factory overhead51,250InventoriesSept. 1, 2018Sept 30, 2018Direct materials$ 8,000$10,500 Work in process18,75021,000Finished goods17,25014,250Conundrum Corporation produced 20,000 units.The prime costs per unit for September werea.$7.05b.$8.8125c.$20.00d.$14.7375 What is the persons displacement for the trip?what is a vector quantity? give an example. A gas is contained in a 3.0L container at a temperature of 25C. The gas exerts a pressure of 16 atm on thecontainer. If pressure is kept constant, what is the final volume of the gas if the temperature of the container isincreased to 200C? (HS+C.P1013)A. 5.6LB.4.8LC. 1.9LD.24 L According to Fred Luthans and his associates' study of 450 managers, ________ made the largest contribution to the success of managers in terms of speed of promotion within their organization.A) networkingB) decision makingC) planningD) controllingE) staffing Quick Fix-It Corporation was organized at the beginning of this year to operate several car repair businesses in a large metropolitan area. The charter issued by the state authorized the following stock: Common stock, $10 par value, 98,000 shares authorized Preferred stock, $50 par value, 8 percent, 59,000 shares authorized During January and February of this year, the following stock transactions were completed: Sold 78,000 shares of common stock at $20 cash per share. Sold 20,000 shares of preferred stock at $80 cash per share. Bought 4,000 shares of common stock from a current stockholder for $20 cash per share. Required: Net income for the year was $210,000; cash dividends declared and paid at year-end were $50,000. Prepare the stockholders' equity section of the balance sheet at the end of the year. (Amounts to be deducted should be indicated with a minus sign.) Oxygen-18 and oxygen-16 are useful in studying past climates because ________. A. ozone formation and decay depend on the ratio of oxygen-18 to oxygen-16 B. both water and calcite contain oxygen C. oxygen ratios are directly related to carbon dioxide (CO2) levels D. more oxygen-18 is stored in glacial ice when temperatures drop In classical conditioning, if the conditioned stimulus is repeatedly presented without the unconditioned stimulus, what will likely occur? Consider the style of Cisneros's novella and Esperanza's narrative voice. Do you think Cisneros's choice to organize the book as a series of loosely connected vignettes is effective? Jason needs to renew the certificate for his companys web server. Which of the following is recommended to be submitted to the CA?A) CSRB) Key escrowC) CRLD) OCSP Sometimes a person cannot clearly see objects close up or far away. To correct this type of vision, bifocals are often used. The top half of the lens is used to view distant objects and the bottom half of the lens is used to view objects close to the eye. A person can clearly see objects only if they are located between 34 cm and 180 cm away from his eyes. Bifocal lenses are used to correct his vision. What power lens (in diopters) should be used in the top half of the lens to allow him to clearly see distant objects Cami has correctly answered 70% of the first 20 questions on her final exam. At least how many of the remaining 12 questions must she get correct to get a final score that's greater than 80%? Segments of the oceanic ridge system that are gentler and less rugged in slope due to faster rates of seafloor spreading are called: In this Circular Flow example the Money Supply is reduced as the Fed ___________ $20 billion of Treasury bonds and bills from/to the banking system.. Steam Workshop Downloader