Answer:
To factor the first expression, "0.7 times square root of 300", we can rewrite it as:
0.7 * sqrt(300)
The prime factorization of 300 is 2 * 2 * 3 * 5 * 5, so we can rewrite the expression as:
0.7 * sqrt(2 * 2 * 3 * 5 * 5)
Since the square root of a number is the same as the square root of that number's prime factorization, we can rewrite the expression as:
0.7 * sqrt(2) * sqrt(2) * sqrt(3) * sqrt(5) * sqrt(5)
Combining like terms, we get:
0.7 * 2 * sqrt(2) * sqrt(3) * sqrt(5)
= 1.4 * sqrt(2) * sqrt(3) * sqrt(5)
This is the fully factored form of the expression "0.7 times square root of 300".
To factor the second expression, "-0.125 times square root of 192", we can rewrite it as:
-0.125 * sqrt(192)
The prime factorization of 192 is 2 * 2 * 2 * 2 * 2 * 2, so we can rewrite the expression as:
-0.125 * sqrt(2 * 2 * 2 * 2 * 2 * 2)
Since the square root of a number is the same as the square root of that number's prime factorization, we can rewrite the expression as:
-0.125 * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2)
Combining like terms, we get:
-0.125 * 6 * sqrt(2)
= -0.75 * sqrt(2)
This is the fully factored form of the expression "-0.125 times square root of 192".
Answer:
for the second one the answer is - square root of 3
Step-by-step explanation:
i could only solve the second one sorry
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
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
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.
one of the angels of a pairs of complementary angel is 50degree. find the ratio of the Paris of complementary angel.
Answer:
The other complementary angle measures 40 degrees.
Step-by-step explanation:
Given that one of the angles of a pairs of complementary angles is 50 degrees, to find the ratio of the pair of complementary angles, the following calculation must be performed, knowing that the sum of two complementary angles is equal to 90 degrees:
X + 50 = 90
X = 90 - 50
X = 40
Therefore, the other complementary angle measures 40 degrees.
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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4. Of the three elevations, -2 feet, -12 feet, and
30 feet, which represents the least number?
Which represents the farthest distance from
sea level?
On solving the provided question, we can say that - y proportional to as the cube of s, y = ks3, then 8 = k * 23 => k = 1 then y = 1 * 53 = 125
what is directly proportional?If two numbers are directly proportional, then as one quantity grows by a specific percentage, so does the other quantity by the same percentage. As an illustration, as gas costs rise, the price of food may also increase. If the ratio of two values x to y never changes, then x and y are said to be directly proportional to one another. example: Let's say you spend Rs. 50 on two pens. 4 pens cost 100 rupees each. If the ratio of two numbers, x and y, is greater than 1, then the two values The value of y1 is constant.
Since y proportional to as the cube of s, y = ks3.
8 = k * 23 => k = 1
then y = 1 * 53 = 125
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A crate is shaped like a rectangular prism. The
crate is 3 ft wide, 5 ft long, and 7 ft tall. What is the
volume of the prism in cubic feet?
Answer:
I think 105.
Step-by-step explanation:
3 × 5 = 15
15 × 7 = 105.
Answer: The answer is 105 cubic feet.
Step-by-step explanation: V= l x w x h, so V= 3 x 5 x 7 is the equation.
hello pls tell me the answer quick pls
Answer: 1. Trapezoid. 2 scalene 3: 24 4: Q and R
Step-by-step explanation:
1 is trapzoid because there's only one parallel side. 2 is scalene since scalene triangles have no same sides. 3 is 24 because 4*2*3. 3 is Q and R because those sides are the same.
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.
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
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]
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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Find the median: 86, 24, 65, 65, 24, 24 *
Answer:
24 or uhm 44.6? i.d.k.
Step-by-step explanation:
The median of the given set {86, 24, 65, 65, 24, 24} is 44.5.
To find the median of the given set of numbers: 86, 24, 65, 65, 24, 24, we need to first arrange the numbers in ascending order:
24, 24, 24, 65, 65, 86
Now, there are six numbers in the set. Since there is an even number of data points, the median is the average of the two middlemost values.
The two middlemost values are 24 and 65.
Median = (24 + 65) / 2 = 89 / 2 = 44.5
So, the median of the given set is 44.5.
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Danielle is trying to solve the equation 7^x = 22 . Explain in detail how Danielle should solve this problem. Then solve it step by step showing all your work and tell Danielle what the answer should be.
Answer:
Step-by-step explanation:
7^x=22
take log of both sides
[tex]log(7)^x=log 22\\x log 7=log22\\x=\frac{log 22}{log7} \approx ~1.59[/tex]
Please help me on this
The constant of proportionality is 3
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
if a=o.3 and b=0.5 what is the value of a+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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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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55° find the angle.
Answer:
125°
Step-by-step explanation:
The total must be 180°.
180° - 55°
125°
Answer:
125°Step-by-step explanation:
Angle on a straight line = 180°
Given angle = 55°
Unknown angle = x°
[tex]x+55=180\\\\x=180-55\\\\x=125\°[/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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The price of a pair of pants decreased from $49.99 to $19.95. What was the percent decrease in the price?
Answer:
60.092%
Step-by-step explanation:
For this problem, we will simply create a ratio to find the difference created between the prices, and subtract this from 1 (100%) to find the percent decrease.
$19.95 / $49.99 = 0.39908
1 - 0.39908 = 0.60092
Given that we take away the difference from the price from the percent of the whole, we find that the price decrease is 60.092%.
Thus, we have found the percent decrease.
Cheers.
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.
is 10/12 and 40/64 a proportion
Answer:
No, it is not a proportion
Step-by-step explanation:
10/12 and 40/64 is not a proportion since although the numerator is constant because when multiplied by 4, it gives us 40, however, when you multiply 4 by 12, you get 48, therefore, it is not a proportion since the changes in the value of a proportion must be constant in both the numerator and denominator.
Hope this helped! :D
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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Please help I was sick and missed out on class thank you.
On solving the value of provided question we can say that - the value of the slope intercept y = -3.
what is slope intercept?The point on the y-axis where the slope of the line passes is known as the intersection point in mathematics. the location on a line or curve where the y-axis crosses that point. This is demonstrated by putting y = mx+c as the equation for the straight line, where m denotes the slope and c the y-intercept. In the intercept form of the equation, the slope (m) and y-intercept (b) of the line are highlighted. The slope is m, and the y-intercept is b for equations in the intercept form (y=mx+b). Additionally, certain equations may be recast to seem like slope intercepts. For instance, if y=x is rewritten as y=1x+0, the slope becomes 1 and the y-intercept becomes 0.
as we can see from graph that,
line passes through origin, so x= 0
the, y = -5x - 3
y = -3
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I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
-------------------------------------------------------------------------------------
please help this is very important
Answer:
its A
Step-by-step explanation:
.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.
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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