Answer:
[tex]x = \± 0.82[/tex]
[tex]y =-3.18 \ or\ -4.82[/tex]
Step-by-step explanation:
Given
[tex]y = 3x^2 + x - 6[/tex]
[tex]y = x -4[/tex]
Required
The solution
First, we equate both expressions.
[tex]y = y[/tex]
[tex]3x^2 + x - 6 = x - 4[/tex]
Subtract x from both sides
[tex]3x^2 - 6 = - 4[/tex]
Add 6 to both sides
[tex]3x^2 = 2[/tex]
Divide both sides by 3
[tex]x^2 = 0.667[/tex]
Solve for x
[tex]x = \± \sqrt{0.667[/tex]
[tex]x = \± 0.82[/tex]
To solve for y, we have:
[tex]y = x -4[/tex]
This gives
[tex]y = \± 0.82 - 4[/tex]
Split
[tex]y = 0.82 - 4 \ or\ -0.82 - 4[/tex]
[tex]y =-3.18 \ or\ -4.82[/tex]
Special right triangles.
Find u.
Please help due in 30 min!
Answer:
u= 2 kilometers
Step-by-step explanation:
[tex] \frac{2 \sqrt{2} }{ \sqrt{2} } = 2[/tex]
The fraction
produces a repeating decimal.
0.750
O A. True
B. False
Answer:
False
Step-by-step explanation:
6/8=3/4=0.75 not 0.750750750750...
Answer:
False
Step-by-step explanation:
The fraction in decimal form will be 0.75 and not a repeating decimal.
Jeffrey left 4/7 of his estate to his wife and 1/4 of the remainder to his granddaughter.The part of his estate that is not accountefor .given as a fraction is?
Put these in order from least to greatest!: 88/25, 3.551, 3.88, 3 11/20
Rewrite all 4 numbers as decimals to compare them:
88/25 = 3.52
3 11/20 = 3.55
Now arrange them in the correct order:
88/25, 3 11/20, 3.551, 3.88
Answer:
Step-by-step explanation:
all numbers are 3 and some more
start by arranging the decimals from least to greatest
3.551, 3.88
88/25 ( 25, three times is 75) = 3 and (88-75)/25 = 3 and 13/25 =3.52
3 11/12 is almost 4 because 11/12 is almost 12/12
the order is :
88/25, 3.551, 3.88, 3 11/20
Help me please 35 points on the line
Answer shown in bold
401924109147The non-bolded values to the left are not to be typed in the answer box. They're present to keep track of the values. In other words, you'll type "40" without quotes into the first box, then "19" without quotes in the second box, and so on.
========================================================
Explanations:
Add up all of the values in the Venn diagram to find the total. Therefore, 9+10+14+7 = 40 students were surveyed.We add the values in the "social interaction activities" circle only. There are 9+10 = 19 students here.This time add up the values in the "technology driven activities" to get 10+14 = 24 students.The answer is 10 because this value is in the overlapped region between the two circles. The answer is 9 since this value is in the "social interaction activities" circle, but outside the other circle. The answer is 14 as this value is in the "technology driven activities" circle, but outside the other circle.The answer is 7 because this value is outside both circles.Let me know if you have any questions.
How many Proper Fractions are there?
Question 7 of 10
In order to solve the following system of equations by addition, which of the
following could you do before adding the equations so that one variable will
be eliminated when you add them? hs
2x – 4y= 5
6x - 3y=10
A. Multiply the top equation by -3 and the bottom equation by 2.
B. Multiply the top equation by 3 and the bottom equation by 4.
o o
C. Multiply the top equation by -2
D. Multiply the top equation by -3.
Answer:
D. Multiply the top equation by -3.
Step-by-step explanation:
2x – 4y= 5 -3(2x – 4y= 5) -6x + 12y= -15
6x - 3y=10 6x - 3y=10
No you can eliminate -6 and 6
Answer:
The answer is D.
Step-by-step explanation:
D. Multiply the top equation by -3.
This works because if you multiply the top equation by -3 then it will be
-3(2x – 4y= 5) which is -6x + 12y = -15
now our equation is : -6x +12y = -15
6x - 3y = 10
As you can see we can eliminate -6x and 6x if we add those two equation together.
Statement of stockholders' equity
The revenues and expenses of Paradise Travel Service for the year ended May 31, 206, follow:
Fees earned
$900,000
Office expense
300,000
Miscellaneous expense
15,000
Wages expense
450,000
Everett McCauley invested an additional $40,000 in the business in exchange for common stock, and $10,000 of dividends were paid during the year. Common June 1, 205.
Prepare a statement of stockholders' equity for the year ended May 31, 206.
Paradise Travel Service
Statement of Stockholders' Equity
For the Year Ended May 31, 206
Common Stock Retained Earnings
Balances, June 1, 20Y5
60.000
300,000 V
Issued common stock
40,000
1♥
Net income
I x
Total
$ 360.000
V
40.000
V
Dividends
0
10,000
10.000
When all liabilities have been paid for a business, what is left over are referred to as the stockholders' equity.
What is the formula for stockholders equity?After all liabilities have been paid, a company's residual assets are referred to as its stockholders' equity. This amount is computed by deducting total liabilities from total assets, or alternatively, by adding share capital and retained earnings and deducting treasury stock.
Total Assets - Total Liabilities = Shareholders' Equity
The aforementioned equation is known as the fundamental accounting equation and is fairly simple to apply. The value of all obligations is subtracted from the total amount of assets on the balance sheet.
SE is therefore the owners' remaining claim to the assets after all debts have been paid. Total assets less total liabilities gives a company's shareholder equity. Shareholder equity includes retained earnings as well as any invested capital.
The complete question is:
Statement of stockholders' equity
The revenues and expenses of Paradise Travel Service for the year ended May 31, 20Y6, follow:
Fees earned $900,000
Office expense 300,000
Miscellaneous expense 15,000
Wages expense 450,000
Everett McCauley invested an additional $40,000 in the business in exchange for common stock, and $10,000 of dividends were paid during the year. Common stock had a balance of $60,000 and retained earnings had a balance of $300,000 as of June 1, 20Y5.
Prepare a statement of stockholders' equity for the year ended May 31, 20Y6.
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When all liabilities have been paid for a business, what is left over are referred to as the stockholders' equity.
What is the formula for stockholders equity?After all liabilities have been paid, a company's residual assets are referred to as its stockholders' equity. This amount is computed by deducting total liabilities from total assets, or alternatively, by adding share capital and retained earnings and deducting treasury stock.
Total Assets - Total Liabilities = Shareholders' Equity
The aforementioned equation is known as the fundamental accounting equation and is fairly simple to apply. The value of all obligations is subtracted from the total amount of assets on the balance sheet.
SE is therefore the owners' remaining claim to the assets after all debts have been paid. Total assets less total liabilities gives a company's shareholder equity. Shareholder equity includes retained earnings as well as any invested capital.
The complete question is:
Statement of stockholders' equity
The revenues and expenses of Paradise Travel Service for the year ended May 31, 20Y6, follow:
Fees earned $900,000
Office expense 300,000
Miscellaneous expense 15,000
Wages expense 450,000
Everett McCauley invested an additional $40,000 in the business in exchange for common stock, and $10,000 of dividends were paid during the year. Common stock had a balance of $60,000 and retained earnings had a balance of $300,000 as of June 1, 20Y5.
Prepare a statement of stockholders' equity for the year ended May 31, 20Y6.
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Express The Ratio 36 : 42 In it's Simplest Form ?
Answer:
6/7
Step-by-step explanation:
36/42 = 36:6/42:6 = 6/7
What’s the pattern? You start with 14 and a half, but then you get 12 and three fourths. How does that happen?
In math, a pattern is defined as a sequence of repeating objects, shapes or numbers. We can relate a pattern to any type of event or object.
What’s the pattern?A pattern has a rule that identifies the items that are part of the pattern and those that are not. A pattern in mathematics is a series of recurring figures, shapes, or numbers.
Any kind of event or thing can be connected to a pattern. A pattern has a rule that identifies the items that are part of the pattern and those that are not. A specific set of rules must be taken into account in order to create a full pattern.
We must first comprehend the nature of the sequence and the distinction between the two successive numbers provided in the pattern in order to apply these rules.
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EES
2.6 m
Find the area. Use = 3.14
a. 21.2264 m2
b. 16.328 m2
c. 84.9056 m2
d. 5.3066 m2
Please select the best answer from the choices provided
Ο Α
Answer:
5.3066m²
Step-by-step explanation:
A=πr²=π·1.3²=5.3066m²
Natalie is driving on the freeway. She just passed mile marker 290. The markers have
been increasing as she drives by them. The fastest Cameron will drive is 80 miles per
hour. However, there is a bit of traffic that might slow her down, but she doesn't know
exactly how much it will slow her down.
a. Write an inequality to represent Natalie's position relative to the mile markers
three hours from now.
b. Rewrite this inequality to reveal Natalie's speed.
Need help with this ASAP
On solving the provided question we can say that - the inequality equation which will be formed is 290x [tex]\geq[/tex] -23 + y
What is inequality?A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.
here,
we have 290x
so the inequality equation which will be formed is
-y + 290x [tex]\geq[/tex] -23
290x [tex]\geq[/tex] -23 + y
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Using elimination, what is the solution to the following system?
x+y=4
x-y=8
Answer:
x=6, y=-2. (6, -2).
Step-by-step explanation:
x+y=4
x-y=8
----------
2x=12
x=12/2
x=6
6+y=4
y=4-6
y=-2
A geyser erupts every 25 minutes. A hiker has not consulted a schedule before heading to see the geyser, so the amount of time he spends waiting to see an eruption follows a uniform distribution. What is the probability that he will wait longer than 6 minutes? Give your answer to two decimal places.
Answer:
0.76 = 76% probability that he will wait longer than 6 minutes
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the probability of finding a value higher than x is given by:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
A geyser erupts every 25 minutes. A hiker has not consulted a schedule before heading to see the geyser, so the amount of time he spends waiting to see an eruption follows a uniform distribution.
This means that [tex]a = 0, b = 25[/tex]
What is the probability that he will wait longer than 6 minutes?
[tex]P(X > 6) = \frac{25 - 6}{25 - 0} = 0.76[/tex]
0.76 = 76% probability that he will wait longer than 6 minutes
Write the expression as a decimal number 2 x 0.1 + 5 x 0.001 =
The measure of decimal number is 2 tenths + 5 thousandths is 0.205.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator)
Given expression
2 x 0.1 + 5 x 0.001
the expanded form is 2 tenths + 5 thousandths
= 2/10 + 5/1000
multiply and divide by 100 in 2/10
we get 200/1000
now 200/1000 + 5/1000 = 205/1000 = 0.205
Hence value of expression is 0.205.
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Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.
The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.
The graph is given in the question.
As per the given line, we take two points (0, 4) and (5, 8)
Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = 0, y₁ = 4
x₂ = 5, y₂ = 8
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 4 = (8 - 4)/(5-0 )[x -0]
⇒ y - 4 = (4/5)x
⇒ y = (4/5)x + 4
The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.
So, the equation of the line would be y = (4/5)x + 4.
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Sixty is 20 percent more than what number?
Answer:
48
Step-by-step explanation:
20 percent off of 60 is 48
Sixty is 20 percent more than 50.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Let's call the unknown number x.
We know that 60 is 20% more than x, which can be written as:
60 = x + 0.2x
Simplifying:
60 = 1.2x
Dividing both sides by 1.2:
x = 50
Therefore, 60 is 20% more than 50.
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plseas someone know this answer and solution I need it in 10 minutes
Answer:
21.888
Step-by-step explanation:
32*1.2*1.9*0.3= 21.888
Find the measure of the missing angles.
Answer:
c = 62 degrees
b = 118 degrees
Step-by-step explanation:
vertical angles are congruent. the 62-degree angle is vertical to angle c
linear pair angles are supplementary. the 62-degree angle is supplementary to angle b. 180 = 62 + b. 118 = b
Which equation could be used to find the circumference, in inches, of a garbage can if the radius of its circular basis is 10 inches?
Answer: A
The circumference formula for a circle is 2 x pi x r. So if the radius is 10 then 2 x 10 = 20. Then 20 x pi.
Hope it helps.
The circumference of the garbage can will be 20 x π inches
What is the circumference of a circle?The circumference of a circle or oval in geometry is its perimeter. That is, if somehow the circle were expanded out and squared out to a line segment, the perimeter would be the lengths of the arc. The curve distance around any closed image is more often referred to as the circumference.
Let 'r' be the radius of the circle that is 10 inched.
The circumference of the circle will be
C = 2πr units
The radius of the garbage can is 10 inches. Then the circumference of the garbage can is calculated as,
C = 2πr
C = 2 x πx 10
C = 20 x π inches
The circumference will be 20 x π inches.
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.The medical practice you are working at has been an average of 22.4 patients a day for the past 3 months. 3/4ths of those patients have insurance in one form or another.
Answer:
If we're looking for those that don't have insurance, it's 504. If we're looking for those that do, it's 1,512.
Step-by-step explanation:
Multiply 22.4 by 30 because there's roughly 30 days in a month. You'll get 2,016. Divide 2,016 by 4. You'll get 504. Multiply 504 by 3 to get how many have insurance.
Can someone solve this
Answer:
[tex] m = \boxed{10}, \: \: c = \boxed{0}[/tex]
Step-by-step explanation:
[tex]y = 10x \\ \\ y = 10x + 0 \\ \\ equating \: it \: with \\ y = mx + c \\ \\ m = \boxed{10} \: \: c = \boxed{0}[/tex]
A system of equations is graphed on the coordinate plane.
y=−x+5
y=2x−1
What is the solution to the system of equations? Enter the coordinates of the solution
The solution to the system of equation shown in the graph is (2, 3)
What is an equation?An equation shows how two or more numbers and variables are related to each other.
The standard linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept
Given the equation:
y=−x+5 (1)
y=2x−1 (2)
Solving by elimination method. Subtract equation 2 from 1:
0 = -3x + 6
x = 2
Put x = 2 in eqn 1:
y = -(2) + 5 = 3
The solution is (2, 3)
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PLEASE ANSWER
Write an equation in point-slope form passing through the given point and parallel to the given line:
(- 4, 4)
y = - 7/4x + 2
Answer:
y-4=-7/4(x+4)
Step-by-step explanation:
Point Slope Form: y-y*sub*1=m(x-x*sub*1)
Parallel lines have the same slope as the line to which they are parallel.
y-4=-7/4(x+4)
Hope this helps :)
Find all the zeros of the function: f(x) = x^2 - 2x - 3
Answer:
x= 3 and -1
Step-by-step explanation:
[tex]f(x) = {x}^{2} - 2x - 3[/tex]
add three to both sides
[tex]3 = {x}^{2} - 2x[/tex]
figure out what half of -2 is
half of -2 is (-1) than square that (-1)^2=1
the 1 is what you add to both sides
[tex]3 + 1 = {x}^{2} - 2x + 1 \\ 4 = {(x - 1)}^{2} [/tex]
than take the square root of both sides
[tex] \sqrt{4} = \sqrt{ {(x - 1)}^{2} } [/tex]
this than equals
+2=x-1
than to find the x values
2=x-1
+1 +1
3=x
-2=x-1
+1 +1
-1=x
calculate 4 raise to power 2 multiply by 5 raise to poer 2 minus 18 raise to power 2
Answer:
76
Step-by-step explanation:
4^2 x 5^2 - 18^2
PEMDAS is our acronym for order of operations: Parentheses, exponents, multiplication, division, addition, subtraction.
Since we have no parentheses, we'll calculate the numbers and exponents (PEMDAS) first. "to the power of 2" is also called "squared" and means multiplying that number by itself.
(4x4) x (5x5) - (18x 18)
=16 x 25 - 324
Now we multiply: (PEMDAS)
= 400 - 324
then subtract: (PEMDAS)
=76
Answer:
76
Step-by-step explanation:
See 4^2 = 4x4 = 16
5^2 = 5x5 = 25
18^2 = 18x18 = 324
So it is
16 x 25 - 324
= 76
Hope it helps :D
PLEASE HELP
All numbers less than 17 and greater than or equal to -8
Answer: C
Step-by-step explanation: it says that it's smaller or equal to x and x is smaller than 17
The National Park Service is interested in comparing the amount of money that visitors in two different national parks spend. They sample visitors on the same day in each of the two parks and then compare the mean dollar amounts spent from each sample. Analysis for these data will be based on a _______ design.Please type the correct answer in the following input field, and then select the submit answer button or press the enter key when finished.Your answer:
Answer:
Analysis for these data will be based on a __survey__ design.
Step-by-step explanation:
A survey design is a process through which surveys are conducted to acquire enough insight about a given situation or matter of interest. In this case, the National Park Service's interest is finding out the amount of money that visitors in the two different national parks spend. Visitors are sampled from each park to get the required information. The mean spends are calculated and then compared.
2 copies of 1/10 write fraction for each statement
2 copies of 1/10 can be written as 2/10
What is a fraction?A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
Given here 2 copies of 1/10 thus 2×1/10=2/10
=1/5
Hence, 2 copies of 1/10 can be written as 2/10
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George peels and eats 2 whole satsumas.
He then splits another satsuma into 6 equal segments and eats 1 of these segments.
How many satsumas does he eat in total?
Give your answer as an improper fraction.
The total number of satsumas eated by George are 2[tex]\frac{1}{6}[/tex].
What is fraction?Fractions represent the parts of a whole or collection of objects. A fraction has two parts namely numerator (upper part) and denominator (lower part).
Given is that George peels and eats 2 whole satsumas. He then splits another satsuma into 6 equal segments and eats 1 of these segments.
The total number of satsumas eated by him can be written as -
2 + 1/6
2[tex]\frac{1}{6}[/tex]
Therefore, the total number of satsumas eated by George are 2[tex]\frac{1}{6}[/tex].
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