Answer:
Step-by-step explanation:
The rule says that when the bases are the same (both are the same -- s) and they are divided with different powers then you subtract the power on the denominator from the power on the numerator.
s^9 ÷ s^4
s^9 is the numerator
s^4 is the denominator
s^(9 - 4)
s^5
15(2x + 2) = 10(3x + 4)
Answer:
No Solutions
Step-by-step explanation:
If you simplify the equation, you would get 30x + 30 = 30x + 40, which if you subtract 30x, you would get 30 = 40, which means that there are no solutions, because no amount for x would balance this equation.
A cubic polynomial function has one rational zero and two complex zeros, bí and , where is a rational number. Describe the coefficients of .
A. They are all rational numbers.
B. They are all complex numbers.
C. Some are complex numbers.
D. They cannot be determined.
Answer:
A+c
Step-by-step explanation:
because common sense
To evaluate 8^2/3 find
To evaluate \(8^{\frac{2}{3} }\) first find the square of 8 and then take the cube root.
What are exponents?The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
Depending on the powers they possess, many rules of exponents are given.
Law of Multiplication: Exponents should be added while keeping the base constant when multiplying like bases.
Exponents should be multiplied while bases are kept constant when bases are raised by a power of two or more.
Division Rule: When dividing like bases, maintain the base constant and deduct the exponent of the denominator from the exponent of the numerator.
The given value can be written as:
\(8^{\frac{2}{3} } = \sqrt[3]{8^{2} }\)
Hence, to evaluate \(8^{\frac{2}{3} }\) first find the square of 8 and then take the cube root.
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I need help with my pre-calculus homework, please show me how to solve them step by step if possible. The image of the problem is attached. I got 6.245 for the other side of the triangle for reference if needed from the problem before this one.
EXPLANATION
We can affirm that the length of the adjacent leg is 5 units and the length of the hypotenuse is 8 units.
As given, the length of the third side is 6.245 units.
Now, computing sin A give us the following expression:
\(\sin A=\frac{6.245}{8}=\frac{1249}{1600}\)The solution is 1249/1600
when a certain unfair die is rolled, an even number is times as likely to appear as an odd number. the die is rolled twice. what is the probability that the sum of the numbers rolled is even?
The probability that the sum of the numbers rolled on the dice is even =1/2.
What is referred as probability?A probability is a measure of the magnitude of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages including several from 0% to 100% can be used to describe probabilities.For the given question,
A fair dice is rolled twice.
Six different results are available with a single roll of the dice (1,2,3,4,5,6)
Therefore, if two dice are rolled, there are a total of 36 possible results, or 6².
Sample space for the sum of even = [(1,1), (1,3), (1,5), (2,2), (2, 4),(2,6), (3, 1), (3,3),(3,5),(4,2),(4,4),(4,6), (5, 1), (5,3),(5,5),(6,2),(6,4),(6,6)]
Total sample space for sum of even = 18
For the probability that the sum of the numbers rolled is even is -
probability (sum is even) = 18 / 36 = 1/2
Thus, the probability that the sum of the numbers rolled is even is 1/2.
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Eleven less than the product of five times a number, n.
Eleven less than the product of five times a number "n" will be the 5*n - 11.
The mathematical symbol 5n can be used to represent the phrase "the product of five times an integer "n".
We can deduct 11 from 5*n in order to determine "eleven less than the product of five times an integer "n": 5*n - 11
As a result, the expression eleven less than the product of five times an integer "n" can be represented by the number 5*n - 11.
The phrase the product of five times a number "n" can be translated into the mathematical expression 5*n.
The mathematical symbol 5n can be used to represent the phrase "the product of five times an integer "n". We can deduct 11 from 5*n in order to determine "eleven less than the product of five times an integer "n": 5*n - 11.
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The fixed order interval EOQ model is best used for skus with variable demand stable demand unknown demand seasonal demand None of the answers shown are correct
For SKUs with variable demand, unknown demand, or seasonal demand, other inventory management models, such as the periodic review model or the continuous review model, may be more appropriate.
The fixed order interval EOQ (Economic Order Quantity) model is best used for SKUs with stable demand.
The EOQ model is a mathematical approach to find the optimal order quantity that minimizes the total inventory costs, including ordering costs and holding costs. The fixed order interval EOQ model assumes that the demand rate is constant, and the lead time is fixed and known.
what is constant?
In mathematics and science, a constant is a fixed value that does not change. It is a quantity that remains the same throughout a given problem or system, and it can be represented by a symbol or a numerical value.
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what is the quotient of the expression
\( \frac{21a {}^{3} b - 14ab {}^{2} + 7ab}{7ab} \)
evaluate the sum \[ 22\binom{26}{0} 21\binom{26}{1} 20\binom{26}{2} \cdots (-3)\binom{26}{25} (-4)\binom{26}{26}. \] your answer formatting tips
sum_{k=2}^{26}\binom{26}{k}
To find out the value of the given expression, we will use the Vander monde's Identity which is as follows;\[\binom{m+n}{r} = \sum_{k=0}^r\binom{m}{k}\binom{n}{r-k}\]On comparing this with the given expression, we see that $m=n=26$, and $r=0, 1, 2, \cdots, 26$.Now we substitute these values in the given expression.\[\begin{aligned} 22\binom{26}{0} 21\binom{26}{1} 20\binom{26}{2} \cdots (-3)\binom{26}{25} (-4)\binom{26}{26} & = 22\binom{26}{26} - 21\binom{26}{25} + 20\binom{26}{24} - \cdots -3\binom{26}{3} + (-4)\binom{26}{2} \\ &= \binom{26}{26} - \left(\binom{26}{24} - \binom{26}{25}\right) + \left(\binom{26}{22} - \binom{26}{23}\right) - \cdots - \left(\binom{26}{4} - \binom{26}{3}\right) + \binom{26}{2} \\ &= \binom{26}{26} + \binom{26}{25} + \binom{26}{24} + \binom{26}{23} + \cdots + \binom{26}{4} + \binom{26}{3} + \binom{26}{2} \\ &= \sum_{k=2}^{26}\binom{26}{k} \end{aligned}\]Thus, we obtain $\sum_{k=2}^{26}\binom{26}{k}$ as the simplified value of the given expression.
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Sue has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer. Six-sided polygon that includes two isosceles right triangles, one with height and base of 25 feet, the other height and base of 8 feet, and one rectangle measuring 35 feet by 8 feet.
Answer:
Step-by-step explanation:
700.5
What causes the graph of y = x2 to open downward?
Answer:
multiply the x^2 by a negative number
Step-by-step explanation:
Multiplying the x² by a negative number causes the graph of y = x2 to open downward.
What is a conic section?It is defined as the curve which is the intersection of cone and plane. There are three major conic sections; parabola, hyperbola, and ellipse (a circle is a special of type of ellipse).
It is given that the equation is, y = x².
The given equation is of the parabola. Parabola is defined as the graph of a quadratic function that has something bowl-shaped.
(x - h)² = 4a(y - k)
(h, k) is the vertex of the parabola:
a = √[(c-h)² + (d-k²]
(c, d) is the focus of the parabola:
The graph of the given equation is attached below.
Thus, multiplying the x² by a negative number causes the graph of y = x² to open downward.
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creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in_________.
Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.
What is problem-solving?
Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.
Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.
Below are the steps in problem-solving:
Step 1: Define the Problem
Step 2: Identify the Root Cause of the Problem
Step 3: Develop Alternative Solutions
Step 4: Evaluate and Choose Solutions
Step 5: Implement the Chosen Solution
Step 6: Monitor Progress and Follow-up on the Solution.
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what polygon is formed?
Answer:
Polygons are figures that are formed by three or more line segments. These line segments, even called sides, meet at their endpoints to form vertices. If we compare the number of sides, diagonals and triangles of a quadrilateral a pentagon and a hexagon we can find a system between the different polygons.
Step-by-step explanation:
x-9/2=-12 guys please help
Step-by-step explanation:
How to solve for x?
Eliminate -(9/2) to find out the value of x.
Add 9/2 to both sides of the equation:
\(x = - 7.5\)
Answer
\(x=\) \(-7.5\)
Step-by-step explanation:
\(x -\frac{9}{2} = -12\)
\(x -\frac{9}{2} + \frac{9}{2} = -12 + \frac{9}{2}\) (add \(\frac{9}{2}\) to both sides)
\(x = -\frac{15}{2}\)
\(-\frac{15}{2} =\) \(-7.5\)
\(x=\) \(-7.5\)
i don’t know what to do
Answer:
Step-by-step explanation:
If the problem is (-7)^2 then you multiply -7 *-7
If the problem is -(7) ^2 then you multiply -1*7*7
Answer: FALL OUT OF THE TREE
I need a lot of help this assignment is due in the next hour!
An annual bike race is 260 miles long. The distance between City A and City B is 31 miles. About how many times as long as the distance between the two cities is the bike race?
please answer A.S.A.P!!!
Answer:
about 8 times longer
Step-by-step explanation:
If the distance between city A and city B is 31 miles, and it's asking how much longer the total is, I'm assuming it's asking for an equation like \(\frac{260}{31}\) which equals roughly 8 (8.39 rounded to the nearest thousandth).
Thanks
Step-by-step explanation:
Bike =260
distance between cities=31
260/31=8.38...
Derive the Utility Function to find the equation for the
indifference curve.
U(x, y) = (.6T.5 +
.4B.5)1/.5
the tradeoff between x and y is such that the weighted sum of their square roots is constant.
To derive the equation for the indifference curve, we need to find the combinations of x and y that yield the same level of utility U. Mathematically, we can express this as:
U(x, y) = constant
Substituting the given utility function, we get:
(.6x.5 + .4y.5)1/.5 = constant
Simplifying, we get:
(.36x + .16y) = constant^2
Dividing by the constant squared, we get:
(.36x + .16y)/constant^2 = 1
This is the equation for the indifference curve, which represents all the combinations of x and y that yield the same level of utility U. The constant represents the level of utility, and the equation shows that the tradeoff between x and y is such that the weighted sum of their square roots is constant.
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Find f(-5) if f (x) = -4(2+1)
7. Match the correct answers.
let's start with the triangle, since that seems very obvious per se, the triangle has a base of 20 and a height of 14.
\(\textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b= base\\ h= height\\[-0.5em] \hrulefill\\ b=20\\ h=14 \end{cases}\implies A=\cfrac{1}{2}(20)(14)\implies A=140\)
now let's do the sector.
\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=20\\ \theta =45 \end{cases}\implies \begin{array}{llll} A=\cfrac{(45)\pi (20)^2}{360} \\\\\\ A=50\pi \implies A\approx 157.08 \end{array}\)
now let's do the segment.
\(\textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left( \cfrac{\pi \theta }{180}~~ - ~~sin(\theta ) \right)~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=20\\ \theta =45 \end{cases} \\\\\\ A=\cfrac{20^2}{2}\left( \cfrac{\pi (45)}{180}~~ - ~~sin(45^o) \right)\implies A=200\left(\cfrac{\pi }{4}~~ - ~~\cfrac{1}{\sqrt{2}} \right) \\\\\\ A=50\pi - 100\sqrt{2}\implies A\approx 15.66\)
MARKING BRAINLEIST IS DUE IN MINS I NEED IT TO GET AN A+ !
Answer:
250
Step-by-step explanation:
V= πr^2h = π·5^2·20 ≈ 1570.79
This is the volume of the full glass so divide that by two and you get 785.4.
785.4 in terms of pi is 250.
It took Mary two hours and 30 minutes to read 110 pages in her book. What was Mary’s average reading rate in pages per hour?
Answer:
The reading rate is 44 pages per hour
Step-by-step explanation:
We are expected to solve for the reading rate in one hour.
Given data
number of pages= 110
time taken = 2hours 30 mins
we convert from minutes to hours
total time in hours= 2 +0.5hours= 2.5hours
Therefore it takes 2.5 hours to read 110 pages
the reading rate is 110/2.5
=44 pages per hour
Choose the equations that are equivalent. Select all that apply. A. 52 = 8n + 4 B. 4(2n + 1) = 52 C. 4 = 52 – 8n D. 4n = 48
A. 52 = 8n + 4, B. 4(2n + 1) = 52 and C. 4 = 52 – 8n are the equivalent equations.
Choosing the equations that are equivalentSimplifying the equations, we have
A. 52 = 8n + 4
8n = 48
n = 6
To see this, first simplify equation B:
4(2n + 1) = 52
8n + 4 = 52
8n = 48
n = 6
C. 4 = 52 – 8n
8n = 48
n = 6
Then simplify equation D:
4n = 48
n = 12
As you can see, equations A, B and C are equivalent and both simplify to n = 6.
Therefore, the correct answers are A, B and C.
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In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving SM = RN, given RM = SN and ∠MRS = ∠NSR. Submit the entire proof to your instructor.Given:RM = SN∠MRS = ∠NSRProve:SM = RNSTATEMENTREASON1.1.2.2. Reflexive Property3.3.4.4.
EXPLANATION:
Given;
We are given two triangles labeled MRS and NSR.
Required;
We are required touse the information provided rto rove tside SM is equal to side RN.
Solution;
\(RM=SN---Given\)\(RS=SR---Reflexive\text{ }property\)\(\angle MRS=\angle NSR---Congruent\text{ }angles\)\(\begin{gathered} \Delta MRS\cong\Delta NSR---SAS \\ \end{gathered}\)If two sides and the included angle of one triangle are congruent to the corresponding parts of a second triangle, then we can conclude that both triangles are congruent.
Therefore;
\(SM=RN\)Solve for x
3x - 8= 7x +4
Answer:
x=-3
Step-by-step explanation:
I attached the question
Answer:
The answer for the first one is 6,9 and the second one is 5
Step-by-step explanation:
hope this helped !! :)
Answer:
i dont know
Step-by-step explanation:
Maybe try looking up 20/12 and then apply that to the other problems
How to do question 10 a?
Answer:
23 hgrghhgfggggggghhhhh
Answer:
I looked at all those numbers and they all say d=0
Step-by-step explanation:
A customer is buying bath towels and hand towels and can spend no
more than $100. Each bath towel costs $8, and each hand towel costs
$5. The inequality 8x + 5y ≤ 100 represents all possible combinations
of x, the number of bath towels, and y, the number of hand towels the
customer can buy.
Which graph best represents the solution set for this inequality?
The graph of the scenario of the inequality 8x + 5y ≤ 100 is added as an attachment
How to determine the graph of the scenario?From the question, the given parameters are:
Amount spent by the customer = Not more than $100Each bath towel = $8 per towelEach hand towel = $5 per towelAlso, we have the inequality of the possible combinations to be
8x + 5y ≤ 100
Such that
x = the number of bath towelsy = the number of hand towelsThe next step is to plot the graph of the inequality
This can be done by the use of a graphing tool
So, we enter the inequality on the graphing tool and attach the graph
Recall that the inequality is given as
8x + 5y ≤ 100
See attachment for the graph of the inequality 8x + 5y ≤ 100
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basic set of drawing pencils costs $8.98. A professional set of drawing pencils costs $27.49. How much more does the professional set cost than the basic set?
ASAP
$18.51
Step-by-step explanation:
assuming you dont need the cost per pencil or anything...
pro set: $27.49
basic set: $8.98
subtract basic from pro.
27.49-8.98= $18.51
Answer:
I know this is a little late but your answer is 18.51
1 -1 0 1 Let A 1 11 C? Explain. Construct a 4x2 matrix D, using only 1 and 0 as entries, such that AD I2. Is it possible that CA I4 for some 4 x 2 matrix
To construct a 4x2 matrix D such that AD=I2, we can use the following matrix: D = [0 0 1 0; 0 0 0 1]. It is not possible for CA to be equal to 4 or 14 for any 4x2 matrix C.
Constructing a matrix D such that AD=I2
Let A = -1 be a 1x1 matrix. We want to construct a 4x2 matrix D such that their product AD is equal to the 2x2 identity matrix I2. We can use the following matrix for D:
D = [0 0 1 0; 0 0 0 1; 1 0 0 0; 0 1 0 0]
To verify that AD=I2, we can compute the matrix product:
AD = [-1 0 0 0; 0 -1 0 0] [0 0 1 0; 0 0 0 1; 1 0 0 0; 0 1 0 0]
= [0 0 -1 0; 0 0 0 -1]
= -I2
Note that D only uses 1 and 0 as entries.
Now, it is not possible for CA to be equal to 4 or 14 for any 4x2 matrix C. To see why, we can use the definition of matrix multiplication. Let C be a general 4x2 matrix:
C = [c11 c12; c21 c22; c31 c32; c41 c42]
Then, we can compute CA as:
CA = [-1 0; 0 -1] [c11 c12; c21 c22; c31 c32; c41 c42]
= [-c11 -c12; -c21 -c22; -c31 -c32; -c41 -c42]
Since CA is a 4x2 matrix and 4 is a scalar, it is not possible for CA to be equal to 4. Similarly, since the entries of C are only 0 or 1, it is not possible for CA to be equal to 14.
Therefore, there is no matrix C that satisfies the equations CA=4 or CA=14.
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Help Plz help me plz plz