Answer:
A perfect square can always be expressed as a product of pairs of equal factors
if we resolve 15x 375(which equals 5625)
225x25 = 9x25x25 = 3x3x5x5x5x5 = 3x5x5x3x5x5 or 3 to the power of 2 x 5 to the power of 4 which can also equal to 75 squared
which means that 75 is the number whose square is 5265
If posts are spaced 5 feet apart, how many posts are needed for 40 feet of straight-line fence?
Answer:
the answer is 8 just divide
Answer:
8 is the answer just divide
Stephen and Natasha have played 27 tennis matches. Stephen has won 11 times. Natasha won the rest. a) Estimate the probability that Stephen wins. b) Estimate the probability that Natasha wins.
Step-by-step explanation:
a) The probability that Stephen wins can be estimated by dividing the number of times he wins by the total number of matches:
P(Stephen wins) = 11/27 = 0.407 (or 40.7%)
b) The probability that Natasha wins can be estimated by subtracting the probability of Stephen winning from 1:
P(Natasha wins) = 1 - P(Stephen wins) = 1 - 0.407 = 0.593 (or 59.3%)
please help me i do not quite understand
Answer:
Represent Wilbur with W and Orville with O
The equation connecting both flights is
W - 120 = O
W = 364 feet
364 - 120 = 246
O = 246
Step-by-step explanation:
wish you best of luck
51. Rewrite each equation in expanded form. Then, give the x- and y-intercepts, the coordinates of the maximum or minimum point, and the line of symmetry for the graph of each equation.
a. y = (x − 3)(x + 3) =
X-intercepts: Y-intercepts:
Coordinates of the maximum or minimum point: Line of symmetry:
The correct form of the expression is x² -9
How to find the rewrite the expression?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is y = (x − 3)(x + 3) =
This can be done by opening the brackets
x²+3x-3x-9
⇒x²-9
Therefore, the correct form of the equation is x²-9
The x-intercept = 1 and the y intercept is -9
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Which expressions are equivalent to the one below? Check all that apply.
21x
3*
A.
B. 3x
C. 7* 3*
3*
D. 7
☐ E. 7*
F. (21-3)*
Answer:
[tex]A.\;\; \left(\dfrac{21}{3}\right)^x\\\\\\C. \;\;\dfrac{7^{x}\cdot3^{x}}{3^{x}}\\\\E. \;\;7^x[/tex]
Step-by-step explanation:
[tex]\dfrac{21^x}{3^x} = \left(\dfrac{21}{3}\right)^x[/tex][tex]21 = 7 \cdot 3\\\\So\; \dfrac{21^x}{3^x} = \dfrac{7^x \cdot 3^x}{3^x}[/tex]
So choice A is correct
[tex]------------------------[/tex]
[tex]21 = 7 \cdot 3\\\\So\; \dfrac{21^x}{3^x} \\\\\\= \dfrac{(7\cdot3)^{x}}{3^{x}}=\dfrac{7^{x}\cdot3^{x}}{3^{x}}[/tex]
So Choice C is correct
[tex]------------------[/tex]
[tex]\text{SInce $\dfrac{21}{3} = 7$}\\\\\text{ $\left(\dfrac{21}{3} \right)^x = (7)^x = 7^x$}[/tex]
Therefore choice E is correct
All the other three are incorrect
The bedroom of our house is 1,200 cubic meters. We know there are 3.4 x 10⁹ particles of dust per cubic meter. Write how many particles of dust are present in the bedroom of our house.
Answer:
4,080,000,000,000
Step-by-step explanation:
1,200 * 3.4*10⁹
=4080*10⁹
=4,080,000,000,000
You can afford a $250 per month car payment. You've found a 3 year loan at 7% interest. How big of a loan can you afford?
Answer:
630
Step-by-step explanation:
36x250 = 9000 ÷ 7 =630
Use the definition of continuity and the properties of limits to show that the function
The given function is continuous at x = 3, RHL = LHL = F(2)
What is continuity ?In mathematics, The function is called as continuous at the particular value of x, if right hand limit, left hand limit and the value of function at x all are equal.
RHL = LHL = F(x)
Limit exist and continuous
Given that,
F(x) = (x²-9)/(x² - x -6)(x² + 6x +9)
To check whether it is continuous at x = 2
First taking LHL,
[tex]\lim_{h \to \ 0}[/tex] ((2-h)²-9)/((2-h)² - (2-h) -6)((2-h)² + 6(2-h) +9)
⇒ -5/(-4x25)
⇒ 1/20
Now, taking RHL
[tex]\lim_{h \to \ 0}[/tex] ((2+h)²-9)/((2+h)² - (2+h) -6)((2+h)² + 6(2+h) +9)
⇒ -5/(-4x25)
⇒ 1/20
The value at x = 3
F(3) = ((2)²-9)/((2)² - (2) -6)((2)² + 6(2) +9)
= -5/(-4x25)
= 1/20
Hence Proved, RHL = LHL = F(2)
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solve the system of equations (how many solutions are there
1. x + y = 3
x - y = -3
2. 5x + y = 7
10x + 2y = 16
1: Unique solution: the solution: (0, 3)
2: The system have no solution.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
Two system of equations,
1. x + y = 3
x - y = -3
Adding both the equations,
2x = 0,
x = 0
And y = 3.
The solution: (0, 3)
And 2. 5x + y = 7
10x + 2y = 16
The system have no solution.
Because lines are parallel.
Therefore, all the required solutions are given above.
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Yo = 10 mg; The half-life is 100 days.
Answer:
After 100 days, the amount of the substance will decrease to half its original value, so Yo/2 = 5 mg. The half-life of a substance is the time it takes for half of it to decay or disappear. So, every 100 days, the amount of the substance will be halved until there is none left.
Question is not clear.
You buy a house for $230,000. It depreciates 3% per year. How much is it worth in 5 years?
a. Write the equation.
b. Solve the problem.
The equation is $230,000 x 0.97^5.
The worth of the house in five years is $197,508.83.
What is the worth of the house?
Depreciation is the decline in the carrying value of an asset. Depreciation occurs as a result of wear and tear.
The equation that would be used to determine the worth of the house in 5 years is
Worth of the house = cost of the house x (1 - depreciation/100)^number of years
= $230,000 x (1 - 3/100)^5
$230,000 x (1 - 0.03)^5
$230,000 x 0.97^5 = $197,508.83
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The base of a triangular pyramid is an equilateral triangle. Each side of the base measures 12 in. The area of the base is 62.4 in². The slant height of the pyramid is 6 in.
What is the surface area of the pyramid?
Enter your answer in the box.
The surface area of the pyramid is given by the equation A = 170.4 inches²
What is the surface area of the pyramid?The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid
Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Given data ,
Let the surface area of the pyramid be represented as A
Now , the equation will be
The slant height of the pyramid h = 6 inches
The side of the equilateral triangle = 12 inches
So , the perimeter of the triangle = 3 x side length
Substituting the values in the equation , we get
The perimeter of the triangle = 36 inches
The area of the base = 62.4 inches²
So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Substituting the values in the equation , we get
Surface Area of Pyramid = 62.4 + ( 1/2 ) ( 36 x 6 )
On simplifying the equation , we get
Surface Area of Pyramid = 62.4 + ( 108 )
Surface Area of Pyramid = 170.4 inches²
Hence , the surface area of pyramid is 170.4 inches²
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What is the y-value of the absolute minimum of the graph?
Step-by-step explanation:
we only have the graph.
it looks like the y-value from the lowest point (= the absolute minimum) is -16.
-x² + 1
The expression represents a
The constant term is
coefficient is
polynomial with
the leading term is
terms.
, and the leading
The expression represents a quadratic polynomial.
The constant term is 1.
The leading term is -x².
The coefficient of the leading term is -1.
What is a polynomial?
A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
Given expression is -x² + 1
The variable of the expression is x.
The constant term is 1.
Leading term: The highest power of the variable that occurs in the polynomial is its degree. The term with the highest degree—i.e., the term with the highest power of the variable—is the leading term. The leading coefficient is the leading term's coefficient.
The leading term of the expression is -x² .
The coefficient of -x² is -1.
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Which expression is equivalent to − 3 +t-6
The equivalent expression is t - 9
How to determine the equivalent expressionFrom the question, we have the following parameters that can be used in our computation:
− 3 +t-6
Collect the like terms
So, we have the following representation
t - 3 - 6
Evaluate the like terms
This gives
t - 9
Hence, the expression is t - 9
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The circle graph represents the jobs at a digital animation company with 1,540
The number of artists that are interns is solved to get 77
How to find the number of artists that are internsFrom the problem, showing circle graph, it can be deduced that the interns occupy 5 percent of the total number
The total number is 1540
5% of 1540 is solved by
= 5/100 * 1540
= 0.05 * 1540
= 77
The number of interns is 77
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1. Fatima drinks her 12 ounce milkshake at a rate of an ounce per second. Bailey starts with 20 ounce milkshake and drinks at the rate of an ounce per second. Is there a time when they have the same quantity of milkshake? a) Write an equation for Fatima's drinking (y = mx + b):. b) Write an equation for Bailey's drinking (y = mx + b): c) Graph the equations on the grid below. $0.0
Situations with constant rates are represented using linear equations.
The parameters that have been provided are:1 third of an ounce of milkshake every second, 20 ounces at first.
Find linear equation?A linear equation is denoted by the following:
Where:
The rate is shown by m.
The starting value is represented by b.
The equation that summarizes Lin's circumstance is as follows:
The graph is shown in the attachment.
Since the other equation is missing, the solution cannot be found.
Situations with constant rates are represented using linear equations.
The parameters that have been provided are:
1 third of an ounce of milkshake every second
20 ounces at first.
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3 friends share
5/6 of a pizza
What fraction of a pizza does each person get?
Answer:
5/18
Step-by-step explanation:
We assume they share equally.
5/6 ÷ 3 = 5/6 × 1/3 = 5/18
52) If a computer prints 108.0 lines in 4.00 seconds, how many lines can it print per minute?
Answer:
1620 lines / minute.
Step-by-step explanation:
Proportions:
1 minute = 60 seconds
Then:
108 lines ⇒ 4 seconds
A lines ⇒ 60 seconds
A = 108 lines * 60 seconds / 4 seconds
A = 1620 Lines
Drag and drop numbers into the boxes to complete the expanded form of 706.039.
The expanded form of the given decimal number is 706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009
What is expanded form?We break up a number according to its place value and expand it to show the value of each digit.
Given that to write expanded form of 706.039
Expanded Factors Form:
706.039 = 7 × 100 + 0 × 10 + 6 × 1 + 0 × 0.1 + 3 × 0.01 + 9 × 0.001
Expanded Notation Form:
706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009
Hence, the expanded form of the given decimal number is 706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009
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Help me asap pls i need it quick
Answer: 0.5km per hour
Step-by-step explanation:
Explain what is wrong with the following argument - be specific.
lim x→2 x^2 +3x-10/x^2-x-2 = (x-2)(x+5)/(x-2)(x+1) = x+5/x+1 = 2+5/2+1 = 7/3
Step-by-step explanation:
brackets are missing.
it should look like
lim x→2 (x² + 3x - 10)/(x² - x - 2) =
= (x - 2)(x + 5)/((x - 2)(x + 1)) = (x + 5)/(x + 1) =
= (2 + 5)/(2 + 1) = 7/3
content-wise there is nothing wrong with the argument.
left and right limits are the same.
so, the result is correct.
Where does runoff end up?
A
ponds
B
streams
C
rivers
D
all of the above
Answer:
D all of the above is the answer
Answer:
D) All of the above
Runoff can end up in ponds, streams, and rivers.
Step-by-step explanation:
Hope it helps! =D
An angle measures 163.6° less than the measure of its supplementary angle. What is the measure of each angle?
ANSWER QUICK I WILL MARK BRAINLIST
Answer:
Supplementary angles are angles that add up to 180 degrees, or on a straight line. If one angle is 163.6 degrees less than its supplementary, then all you have to do is subtract that number from 180. The angles are
180 - 163.6 = 16.4
180 - 16.4 = 163.6
One angle is 16.4 degrees, the other is 163.6. They both add up to make 180.
R if R={x|||xis an odd, negative integer andx>−16} .
The number of subsets for R { -15 , -13 , -11 , -9 , -7 , -5 , -3 , -1 } is given by the equation A = 255 subsets
What is union and intersection of sets?The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B
The union of two sets is a new set that contains all of the elements that are in at least one of the two sets
The intersection of two sets is a new set that contains all of the elements that are in both sets
Given data ,
Let the relation set be represented as R
Now , the set R = { x|||xis an odd, negative integer and x>−16 }
The number of elements in the set R is given by
R = { -15 , -13 , -11 , -9 , -7 , -5 , -3 , -1 }
So , the number of elements n = 8 elements
The number of subsets of any arbitrary set is equal to 2ⁿ
This means that the number of proper subsets (which is the number of subset minus the set itself, for finite subsets) is equal to 2ⁿ-1
So , the number of subsets for R = 2⁸ - 1 = 255 subsets
Hence , the solution set is { -15 , -13 , -11 , -9 , -7 , -5 , -3 , -1 }
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HELP!!! Compare 5.6 and 5
Answer:
5.6 is greater than 5.
Answer:
5.6>5
Step-by-step explanation:
5.6 is more than 5 :)
Trei correctly spelled 60% of the words on her last spelling test! how many words did she spell correctly for each word that she spelled wrong?
Let's call the number of words Trei spelled correctly "x". Then, the number of words she spelled incorrectly is 100 - 60 = 40 words.
Therefore, the ratio of correctly spelled words to incorrectly spelled words is x to 40.
To find the number of words she spelled correctly for each word she spelled wrong, we can simplify the ratio by dividing both values by the greatest common factor:
x / 40 = x / (2 * 20) = x / 2 * 20 / 2 = x / 20.
So for every word Trei spelled incorrectly, she spelled 20 / 1 = 20 words correctly.
Six times the difference of a number and two us forty - two less than the number. Find the number.
Six times the difference of a number and two us forty - two less than the number is 6.
What are the arithmetic calculations?
Arithmetic is the branch of mathematics that deals with basic operations such as addition, subtraction, multiplication, and division, and their properties and applications. Arithmetic calculations are mathematical operations that involve one or more numbers and result in a numerical answer. These operations can be performed using mental arithmetic, pencil, and paper, or with the help of a calculator.
Let the number be x. We can write the given expression as:
6(x - 2) = x - 42
Expanding the left side:
6x - 12 = x - 42
Solving for x:
5x = 30
x = 6
Therefore, the number is 6.
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At what rate of interest will Rs 2500 amo- unt 10 Rs.3200 in. 7yrs?
Answer:
The rate of interest required to make Rs. 2500 amount to Rs. 3200 in 7 years is 8.5%. This can be determined by using the information from pa01000192.schoolwires.net, which states that the formula for finding the rate of interest is: Rate of Interest = (Future Value - Present Value) / (Present Value * Time). Applying this formula to the given values gives a rate of interest of 8.5%.
Step-by-step explanation:
Melissa bought a comic book for $2.17. The cashier gave Melissa $2.91 in change. How much money did Melissa give the cashier?
Answer:
5.08
Step-by-step explanation:
2.17+2.91 = 5.08