At December 31, the records of Nortech Corporation provided the following selected and incomplete data:
Common stock (par $1; no changes during the current year).
Shares authorized, 500,000.
Shares issued, 2; issue price $12 per share.
Common Stock account, $100,000.
Shares held as treasury stock, 2,000 shares, cost $10 per share.
Net income for the current year, $24,500.
Dividends declared and paid during the current year, $14,700.
Retained Earnings balance, beginning of the year, $145,000.
Required:
Complete the following: TIP: To determine the number of shares issued, divide the balance in the Common Stock account by the par
value per share. (Round "per share" answers to 2 decimal places.)
1-a. Shares authorized
1-b. Shares issued
1-c. Shares outstanding
2. The balance in Additional Paid-in Capital would be
3. Earnings per share is
4. Dividends paid per share of common stock is
5. Treasury stock should be reported in the stockholders' equity section of the balance
sheet in the amount of
6. Assume that the board of directors approved a 2-for-1 stock split. After the stock split,
the par value per share will be
500,000
290,000
Answers
A company's balance sheet is its financial statement at a given point in time and lists its assets, liabilities, equity capital, total debt, and other items.
What is meant by balance sheet?A balance sheet is a list of all your capital, obligations, and assets. The assets and liabilities of a firm are described in detail on a balance sheet, which is a financial statement.
The Equity Section of the Nortech Corporation's Balance Sheet exists as follows:
Common Stock:
500,000 shares, Authorized at $1 par value
200,000 Issued Shares at $1 = $200,000
Additional Paid-in Capital 4,143,000
3,000 shares, Treasury stock (3,000)
Retained Earnings 253,500
Total Equity $4,593,500
1c. Shares Outstanding = 197,000 (200,000 - 3,000)
2. Balance in Additional Paid-in Capital = $4,143,000
3. Earnings per share = $0.75 ($147,750/197,000)
4. Dividend per share = $0.25 ($49,250/197,000)
5. The Treasury stock is reported as $3,000 on the balance sheet.
6. With a 2-for-1 stock split, the par value becomes $0.50 ($1/2)
Data and Calculations:
Par value of Common Stock = $1
Authorized Shares = 500,000 shares
Issue price per share = $22
Common Stock Account = $200,000
Issued Shares = 200,000 shares ($200,000/$1)
Treasury Stock = $3,000 (3,000 x $1)
Additional Paid-in Capital = $4,200,000 (200,000 x $21)
Additional Paid-in Capital (Treasury Stock) = $57,000 ($19 x 3,000)
Balance of Additional Paid-in Capital = $4,143,000 ($4,200,000 - $57,000)
Retained earnings for the year:
Beginning Balance $155,000
Net income 147,750
Dividends paid (49,250)
Ending Balance $253,500
The complete question is:
At December 31, the records of Nortech Corporation provided the following selected and incomplete data: Common stock (par $1; no changes during the current year).Shares authorized, 500,000.Shares issued, ?; issue price $22 per share. Common Stock account, $200,000.Shares held as treasury stock, 3,000 shares, cost $20 per share. Net income for the current year, $147,750.Dividends declared and paid during the current year, $49,250.Retained Earnings balance, beginning of the year, $155,000.Required: Complete the following: TIP: To determine the number of shares issued, divide the balance in the Common Stock account by the par value per share. (Round "per share" answers to 2 decimal places.)
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Related Questions
Find the equation in slope-intercept form of the line with slope 2 which passes through the point (2, 8)
Answers
The equation of the line in slope-intercept form is y = 2x + 4
What is slope how to solve slope equation ?
Slope is a measure of the steepness of a line. It is defined as the ratio of the change in y-coordinates to the change in x-coordinates between any two points on the line. Slope is denoted by the letter m.
The slope formula is:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are any two points on the line.
To solve for the slope of a line given two points, you can simply plug in the coordinates into the slope formula and simplify.
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.
We are given that the slope is 2, so we have:
y = 2x + b
To find the value of b, we can use the fact that the line passes through the point (2, 8). Substituting these values into the equation, we get:
8 = 2(2) + b
Simplifying the right-hand side, we get:
8 = 4 + b
Subtracting 4 from both sides, we get:
b = 4
So the equation of the line in slope-intercept form is:
y = 2x + 4
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Please help and answer ASAP please will mark Brainlest
What is the value for x?
Enter your answer in the box.
x =
Answers
Answer:
x=45
Step-by-step explanation:
i hope its right good luck :)
i think im wrong
The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answers
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
HELP PLEASE!! I WILL GIVE BRAINLYEST
Answers
100 points asap
Tisha and her academic team are working to go to state finals. They must have a certain number of points, T, to advance. They have had three local matches, b, c and d, and will attend a district match. District match points count for four times the number of points than local matches do. Choose the equation that would help Tisha find how many points they need to earn in the district match, a, to advance.
a equals T over 4 minus b minus c minus d
a equals T minus b minus c minus d all over 4
a equals T plus b plus c plus d all over 4
a = 4(T − b − c − d)
Answers
The equation for Tisha and her team is a equals T plus b plus c plus d all over 4 or , a = (T-b-c-d)/4
An equation is created by joining two expressions with the equals sign ("=").
The expressions on each side of the equals sign are referred to as the equation's "left hand side" and "right hand side." In equations, the right side is commonly thought of as zero. This can be accomplished by subtracting the right hand from both sides, provided the generality is not compromised. An equation is comparable to a scale used to weigh stuff. The scale will balance and the weights will be regarded as being equal when the two pans are filled with the same volume of anything (such as grain).The points that are earned from the three local matches are b , c, and d.
points earned from the district game = 4a
The total points earned is T
Therefore forming the equation:
T = (4a + b + c + d )
Now we make a the subject of formula:
or , a = ( T - b - c - d) / 4
Therefore the required equation is a equals T plus b plus c plus d all over 4 .
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Answer:
a = (T-b-c-d)/4
Step-by-step explanation:
took test
An electrician wants to know whether batteries made by two manufacturers have
significantly different voltages. The voltage of 108 batteries from each manufacturer
were measured. The population standard deviations of the voltage for each
manufacturer are known. The results are summarized in the following table.
Manufacturer Sample mean voltage (millivolts) Population standard deviat
A
B
179
178
1
What type of hypothesis test should be performed? Select
What is the test statistic? Ex: 0.12
Does sufficient evidence exist to support the claim that the voltage of the batteries made
by the two manufacturers is different at the a= 0.05 significance level?
Answers
The appropriate hypothesis test is a two-sample t-test for independent samples.
The appropriate hypothesis test in this scenario is a two-sample t-test for independent samples. Since the population standard deviations are known, we can use the Z-test instead.
The test statistic can be calculated using the formula:
t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))
Where:
x1 and x2 are the sample means for Manufacturer A and Manufacturer B, respectively.
s1 and s2 are the population standard deviations for Manufacturer A and Manufacturer B, respectively.
n1 and n2 are the sample sizes for Manufacturer A and Manufacturer B, respectively.
Plugging in the given values:
x1 = 179, x2 = 178, s1 = 1, s2 = 5, n1 = n2 = 108
t = (179 - 178) / sqrt((1^2 / 108) + (5^2 / 108))
t = 1 / sqrt(0.00926 + 0.0463)
t ≈ 1 / sqrt(0.05556)
t ≈ 1 / 0.2357
t ≈ 4.241
To determine whether there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different, we compare the calculated t-value to the critical value from the t-distribution at the desired significance level (0.05).
The decision depends on the degrees of freedom for the test, which is calculated as (n1 + n2 - 2) = (108 + 108 - 2) = 214.
Using a t-table or statistical software, we find that the critical value for a two-tailed test with a significance level of 0.05 and 214 degrees of freedom is approximately ±1.972.
Since the calculated t-value of 4.241 exceeds the critical value of 1.972, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different at the 0.05 significance level.
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List the kinds of measurements have you worked with so far. Describe what area is. Describe what volume is.
How could you find the combined area of all faces of a three-dimensional shape? Give an example of why that would be a good measurement to know.
Answers
Answer: length, width, and hight
hope this helps \(￣︶￣*\))
In a random sample of 100 students from a large high school, 37 regularly bring a reusable water bottle from home. Which of the following gives the correct value and interpretation of the standard error of the sample proportion? (a) In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home will be at most 0.095 from the true proportion. (b) In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home will be at most 0.048 from the true proportion. is ne (c) In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.095 from the true proportion.
(d) In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion (e) There is not enough information to calculate the standard error.
Answers
The standard error tells us how much we can expect the sample proportion to vary from the true proportion in repeated samples of the same size. Option (d) correctly states that "In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion." This means that if we were to take many samples of 100 students from the same school and calculate the proportion of students who bring a reusable water bottle from home in each sample, about 95% of the sample proportions would fall within +/-0.048 of the true proportion.
What is the best interpretation of the standard errorThe correct option is (d) "In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion."
The standard error of the sample proportion can be calculated using the formula:
SE = √[p*(1-p) / n]
where p is the sample proportion and n is the sample size.
In this case, the sample proportion is 37/100 = 0.37 and the sample size is 100. Plugging in these values, we get:
SE = sqrt[0.37*(1-0.37) / 100] = 0.048
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Jackson wrote different patterns for the rule subtract 5 select all the patterns he could have written
Answers
When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include
A. 27, 22, 17, 12, 7
D. 100, 95, 90, 85, 80
What is the expression regarding the pattern?It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.
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Complete question
Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.
27, 22, 17, 12, 7
5, 10, 15, 20, 25
55, 50, 35, 30, 25
100, 95, 90, 85, 80
75, 65, 55, 45, 35
Each pair of polygons is similar. Write a similarity statement for the polygons. Then, find the measure of x, the
measures of the indicated sides, and the scale factor.
CB and AB
D
2.4
729
2
610
E
2.6
F
C
3.6
A
72⁰
3x-0.6
2x
61 B
2
| ADEF - AABC;x=15;CB=39; AB=3; 3
2
ADEF-ACBA; x = 3; CB=3; AB=3.9; 3
2
ADEF-ACBA; x = 1; CB = 3.9; AB = 3; 3
3
ADBF - AABC;x=1.5; CB=3; AB=3.9; 2
Answers
Scale factor means ratio of the sides of the triangle then the measures of the indicated sides, and the scale factor of CB and AB exists ΔDEF - ΔABC; x = 1.5; CB = 3.9; AB = 3.
What is meant by scale factor?A scale factor is the amount by which an object is multiplied to produce a second object of different size but with the same appearance. The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
Each pair of given polygons are similar.
Similarity statement for the given polygons:
In ΔDEF and ΔABC,
∠D = ∠A (Angle)
∠E = ∠B (Angle)
Therefore, ΔDEF ΔABC (by AA similarity)
If two triangles are similar, then their sides are proportional.
\($\Rightarrow \frac{D F}{A C}=\frac{D E}{A B}$\)
\($\Rightarrow \frac{2.4}{3.6}=\frac{2}{2 x}$\)
By using cross multiplication, we get
⇒ 2.4 × 2x = 2 × 3.6
simplifying the above equation, we get
⇒ 4.8x = 7.2
⇒ x = 1.5
Therefore, the value of x = 1.5.
Substitute x = 1.5 in CB and AB,
CB = 3x – 0.6 = 3(1.5) – 0.6 = 3.9
AB = 2x = 2(1.5) = 3
Scale factor means ratio of the sides of the triangle.
⇒ DF/AC = 2.4/3.6 = 2/3
Therefore, the correct answer is option a) ΔDEF - ΔABC; x = 1.5; CB = 3.9; AB = 3.
The complete question is:
Each pair of polygons is similar. Write a similarity statement for the polygons. Then, find the measure of x, the measures of the indicated sides, and the scale factor.
\($\overline{C B}$\) and \($\overline{A B}$\)
a) ΔDEF - ΔABC; x = 1.5; CB = 3.9; AB = 3;
b) ΔDEF - ΔCBA; x=3 ; C B=3 ; A B=3.9 ; 2/3
c) ΔDEF - ΔCBA; x=1 ; C B=3.9 ; A B=3 ; 2/3
d) ΔDEF - ΔABC; x=1.5 ; C B=3 ; A B=3.9 ; 3/2
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Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) f(x) = (x + 3)(2x − 2)
Answers
Answer:
2x³/3 +2x²-6x+C
Step-by-step explanation:
Given the function
f(x) = (x + 3)(2x − 2)
Expand first
f(x) = 2x²-2x+6x-6
f(x) = 2x²+4x-6
Integrate the resulting function
Integrate (2x²+4x-6) =2x³/3 + 4x²/2 - 6x + C
= 2x³/3 +2x²-6x+C
For us to check the correctness, we need to differentiate the answer and we must arrive back at the question
On differentiating 2x³/3 +2x²-6x
3(2/3)x² + 2(2)x¹ -6
= 6/3x²+4x-6
= 2x²+4x-6
This shows the answer is correct.
The correct anti derivative of the function is 2x³/3 +2x²-6x+C
PLEASE HELP. I AM STUCK!!
Given circle P, which of the following options are minor arcs? Select all that apply.
arc ABC
arc DCB
arc AC
arc BAD
arc BAC
Answers
The options which are minor arcs of the circle P is only arc AC.
Given a circle P.
There are 2 chords AD and BC drawn which has been divided in to arcs.
Major arcs are arcs which has the central angle equal to more than 180 degrees.
Minor arcs have the central angle equal to less than 180 degrees.
Arc ABC is a major arc, since it covers more than half of the perimeter of the circle.
Arc DCB is also a major arc.
Arc AC is a minor arc, which is clearly less than 180 degrees.
Arc BAD is a major arc.
Arc BAC is a semicircle, since it is exactlt 180 degrees.
Hence the only minor arc is arc AC.
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Suppose /(x)= x. Find the graph of f(x) + 4
Click on the correct answer.
Answers
The function's value is f(x). The line's slope is m.When x is equal to 0, the function's value is equal to b, which is also the coordinate at where the line in the coordinate plane crosses the y-axis.
Find the graph ?The function's value is f(x). The line's slope is m.
When x is equal to 0, the function's value is equal to b, which is also the coordinate at where the line in the coordinate plane crosses the y-axis.
The x-value coordinate's is given by x.
Graph Rules for Derivatives
The graph of f'(x) will be below the x-axis if f(x) has a negative slope.
The graph of f'(x) will be above the x-axis if f(x) has a positive slope.
The x-intercepts of f' will be all relative extrema of f(x) (x).
Given that ;
f(x)= x³
f(x)-4 = x³- 4
See attached graph using the graph tool
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6. A company car purchased for $39,600 depreciates at 12% per annum. What is the car
worth after 3 years?
Answers
Answer:
$26,986.29
Step-by-step explanation:
We can use the formula for calculating the depreciation of an asset over time:
wor
\(\bold{D = P(1 - \frac{r}{100} )^t}\)
where:
D= the current value of the asset
P = the initial purchase price of the asset
r = the annual depreciation rate as a decimal
t = the number of years the asset has been in use
In this case, we have:
P = $39,600
r = 12% = 0.12
t = 3 years
Substituting these values into the formula, we get:
\(D= 39,600(1 - \frac{12}{100})^3\\D= 39,600(1 - 0.12)^3\\D= 39,600*0.88^3\\D= 39,600*0.681472\\D=26986.2912\)
Therefore, the car is worth approximately $26,986.29 after 3 years of depreciation at a rate of 12% per annum.
Answer:
$26,986.29
Step-by-step explanation:
As the car's value depreciates at a constant rate of 12% per annum, we can use the exponential decay formula to create a function for the value of the car f(t) after t years.
Exponential Decay formula\(\boxed{f(t)=a(1-r)^t}\)
where:
f(t) is the value of the car (in dollars) after t years.a is the initial value of the car.r is the depreciation rate (as a decimal).t is the time period (number of years after purchase).In this case, the initial value is $39,600, and the rate of depreciation is 12% per year. Therefore, the function that models the value of the car after t years is:
\(f(t)=39600(1-0.12)^t\)
\(f(t)=39600(0.88)^t\)
To calculate the value of the car after 3 years, substitute t = 3 into the function:
\(\begin{aligned} f(3)&=39600(0.88)^3\\&=39600(0.681472)\\&=26986.2912\\&=26986.29\;(\sf 2\;d.p.)\end{aligned}\)
Therefore, the car is worth $26,986.29 after 3 years.
Express x²- 8x + 5 in the form (x - a)² - b where a and b are integers.
Answers
The expression will be;
⇒ (x- 4)² - 11
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ x² - 8x + 5
Now,
Solve the expression as;
⇒ x² - 8x + 5
⇒ x² - 8x + 16 - 16 + 5
⇒ (x- 4)² - 11
Thus, The value of the expression = (x- 4)² - 11
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The ratio x : y is equal to 2 : 5y.
Work out the value of x.
Answers
Answer:
2/5
Step-by-step explanation:
x/y = 2/5y
or, x= 2/5
Answer:
x = 2/5.
Step-by-step explanation:
x/y = 2/5y
2y = 5xy
2 = 5x
x = 2/5.
Todd rolled a 12-sided die marked with the numbers 1 to 12. These are his experimental probabilities.
P(odd number) = 18/48
P(greater than 8) = 16/48
P(9) = 12/48
1. Which experimental probability matches the theoretical probability exactly?
2. Which experimental probability is farthest from the theoretical probability?
Answers
The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.
Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.
Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.
The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.
The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.
Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.
The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.
The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.
However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.
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What kind of multi step do I have to do to prove a is parallel to b and m parallel to n.
Answers
The proof that line n is perpendicular to both a and b is proved below using definition of right angle and perpendicular transversal theorem.
How to prove Perpendicular and Parallel Lines?
We are given that;
Line a is parallel to line b
Line m is parallel to line n.
A) We want to prove that line a is perpendicular to n.
From the image, we see that there is a right angle sign on the opposite side of ∠1 facing m.
Now, we know that by definition of a right angle that ∠1 will also be a right angle.
Since angle 1 is a right angle, then we can say the line transversal a is perpendicular to line m.
B) We want to prove that line b is perpendicular to n.
The definition of the perpendicular transversal theorem, states that if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.
Thus, b will be perpendicular to n.
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can someone help me with this?
Answers
15n^2-27n-6
step by step plsss
Answers
Step-by-step explanation:
Factor the trinomial with the GCF.
The GCF of all of the terms is 3.
Using the GCF:
\(3(5n^2-9n-2)\)
Using 2 binomials to factor:
\(3(5n+1)(n-2)\)
When unfactorized, the expression will equal \(15n^2-27n-6\).
100 Points! Multiple choice Geometry question. Photo attached. Thank you!
Answers
Answer:
2. C. 50.3 ft²
3. A. 75.4 ft²
Step-by-step explanation:
The lateral surface area of a cylinder is the area of the curved surface of the cylinder. It is calculated by multiplying the circumference of the base by the height of the cylinder. The formula for the lateral surface area of a cylinder is:
Lateral Surface Area = 2πrh
Where:
r is the radius of the baseh is the height of the cylinderThe total surface area of a cylinder is the area of the lateral surface plus the area of the two circular bases. The formula for the total surface area of a cylinder is:
Total Surface Area = 2πrh + 2πr^2
Where:
r is the radius of the baseh is the height of the cylinder2.
r=2 ft
h=4 ft
Lateral Surface Area = 2πrh=2*22/7*2*4=50.3 ft²
3.
Total Surface Area = 2πrh + 2πr^2=2*22/7*2*4+2*22/7*2
=50.3+25.1=75.4 ft²
Is 1.5399818181... a rational number?
Answers
Answer:
yes, cuz the rational numbers is said to be 0 or real numbers.
9 less than one-fifth of c
Answers
Answer: The equation in math form is \(\frac{1}{5}c\) - 9.
Step-by-step explanation:
So the givens are:
9 less than one-fifth of c
Let's put this equation in math form:
\(\frac{1}{5}c\) - 9
Hence your answer!
A rectangular poster is 50 centimeters long and 25 centimeters wide. If 1 centimeter is approximately 0.4 inches, which of the following best represents the area of the poster in inches?
Answers
The area of the poster in inches is,
⇒ A = 4 inches²
We have to given that;
A rectangular poster is 50 centimeters long and 25 centimeters wide.
Here, 1 centimeter is approximately 0.4 inches
Hence, Lenght = 50 cm
Lenght = 50 x 0.4
= 2 inches
Width = 25 cm
= 25 x 0.4
= 1 inches
Thus, The area of the poster in inches is,
⇒ A = 1 x 4
⇒ A = 4 inches²
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Suppose you were given $800 from your uncle. You deposited that money in a bank and added $50 per month.
Write an equation to model how much money you have deposited after
months. Let
be the amount you have deposited.
What 1-variable equation would you solve to figure out how many months it would take to save $10,000 dollars?
How many months would it take to save $10,000?
months
Answers
Answer:
a. y = 50x + 800
b. 184 months
Step-by-step explanation:
Given x is the number of months
y is the total of $ after x months
y = 50x + 800
if y = 10,000
10000 = 50x + 800
50x = 10000 - 800
50x = 9200
x = 9200/50
x = 184
Ed is on a road trip. He has already traveled 212 miles and is driving at a rate of 65 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 675 total miles?
Answers
675-212 463
463/65 7.123
So about 7 hours left
ASAP!!! Please help me solve
Answers
Answer: j(x) = (x-1)(x+2)
The x-1 part is because of the root x = 1
The root x = -2 leads to the factor x+2
A circles diameter is 10 yards what is the circles area using 3.14
Answers
Answer:
\(78.5yd^{2}\)
Step-by-step explanation:
The formula to find the area of a circle of is: A = \(\pi r^{2}\)
However, the question wants to use 3.14 instead of pi.
We need to find the radius. The radius of the circle is half the diameter. So, the radius to 5 yards.
Now we just plug in the formula.
\(A=3.14*(5yd)^{2} \\A=3.14*25yd^{2} \\A=78.5yd^{2}\)
Through any three points there exists exactly one line.
A. always
B. sometimes
C. never
Answers
Answer:
b. sometimes
Step-by-step explanation:
What is the value of the expression (3a-b)/(6(b+a)) when a = 5 and b = -3? Show your work to support your answer
Answers
Answer:
-3
Step-by-step explanation:
So you have \(\frac{3a-b}{b(b+a)}\) , and with the numbers plugged in, it's \(\frac{3(5)+(-3)}{-3(-3+5)}\). Solve this and you get \(\frac{18}{-6}\). When it's simplifyed, you have \(\frac{-3}{-1}\), which is -3.