Answer:
\(2^5\)
Step-by-step explanation:
Properties of exponents:
Quotient of power ( when the bases are different and the exponents are the same : \(\frac{a^m}{b^m} =(\frac{a}{b} )^2\) )
Explanation of property. When exponents are being divided, if the exponents are the same but the bases are different then divide the bases and keep the exponents the same
We want to find \(\frac{10^5}{5^5}\)
Because they have the same exponent but different bases we can use the property stated earlier where you divide the bases and keep the exponent the same.
The bases are 10 and 5. 10 is being divided by 5 so we do 10/5 which equals 2. The property says to keep the exponent the same so the answer is \(2^5\)
What decimal is equivalent to 15%
Answer:
0.15 is equivalent to 15%
hope this help man
merry christmas :D
Answer:
The decimal equivalent to 15% is 0.15
Step-by-step explanation:
-5x + 18 = 3x - 38
show steps please need this asap
Answer:
x = 7.
Step-by-step explanation:
-5x + 18 = 3x - 38
18 + 38 = 3x + 5x
56 = 8x
x = 7.
If m
D
E
x =
mZCDF =
mZFDE =
mZCDE =
Answer:
тут наверное что-то неправильно, или опечатка
A conceptual model that helps strategists choose between seeking internal development, entering into an alliance, or acquiring new resources, capabilities, and competencies is called the " framework. a) build-borrow-or-buy b) organic growth c) internal-versus-external growth d) capability development
Build-borrow-or-buy.
The build-borrow-or-buy framework is a conceptual model used by strategists to help them decide whether to build capabilities internally, borrow them through partnerships and alliances, or buy them through mergers and acquisitions. The framework helps organizations identify the most efficient and effective way to acquire the resources, capabilities, and competencies they need to achieve their strategic goals. It is a useful tool for decision-making when considering growth strategies, and can help managers evaluate the costs, risks, and benefits of each option.
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(a) build-borrow-or-buy. This framework helps strategists decide whether to pursue internal development, enter into an alliance, or acquire new resources, capabilities, and competencies.
the build-borrow-or-buy framework suggests that companies have three options when it comes to acquiring new resources and capabilities. First, they can build or develop these resources and capabilities internally through investments in research and development or employee training. Second, they can borrow or enter into strategic alliances with other companies to gain access to new resources and capabilities. Finally, they can buy or acquire companies that already possess the desired resources and capabilities.
the build-borrow-or-buy framework provides a structured approach for companies to evaluate their options when it comes to acquiring new resources and capabilities. By considering the pros and cons of each option, companies can make more informed decisions that align with their strategic goals and objectives.
The build-borrow-or-buy framework is a conceptual model that helps strategists decide whether to seek internal development (build), enter into an alliance (borrow), or acquire new resources, capabilities, and competencies (buy). This model assists organizations in evaluating their options for growth and resource allocation based on their strategic goals and objectives.
the build-borrow-or-buy framework is a valuable tool for strategists when choosing between internal development, alliances, or acquisitions to achieve their organization's growth and resource needs.
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PLEASE HELP!
Many students take standardized tests for college applications. They are called standardized tests because they are scored so the population of student scores for any one particular test follows a normal distribution. The most common test are the SAT and the ACT.
Suppose the mean and standard deviation for the ACT composite score, the SAT critical reading score, and the SAT mathematics score for the year 2017 are as follows:
For the ACT, the mean composite score was 21.0 with a standard deviation of 5.2.
For the SAT critical reading score, the mean was 501 with a standard deviation of 112.
For the SAT mathematics score, the mean was 516 with a standard deviation of 116.
Sketch a bell curve for the ACT composite data with markings on the horizontal axis for ±1 standard deviation, ±2 standard deviations, and ±3 standard deviations.
A bell curve graph for the ACT composite data with markings on the horizontal axis for ±1 standard deviation, ±2 standard deviations, and ±3 standard deviations is shown below:
Image result for bell curve for ACT composite dataIn this bell curve graph, the horizontal axis represents the ACT composite scores. The peak of the curve, at x = 21, represents the mean ACT composite score of 21.0. The vertical axis represents the frequency of students who achieved each score, with the highest point of the curve representing the most frequent score of 21.0.
The standard deviation of 5.2 is used to draw the lines representing ±1, ±2, and ±3 standard deviations from the mean. These lines are plotted at distances of 5.2, 10.4, and 15.6 units, respectively, from the mean on either side of the graph.
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Mr. Norris buys a boat for $125,000. He has to pay a 5% tax on his purchase of the boat. How much money is the tax?
6250 is 5% of 125000
The beachfront path was 5,942 feet long.A tropical storm caused waves that washed away 2,916feet from the end. How long was the path after the storm?A3,016 feetB3.026 feetC8,858 feet3.036 feet
Let's begin by identifying key information given to us:
Length of beachfront before storm = 5,
Branliest For Correct answer
Please I need help
Factor Completely
a^2 - a - 20
Answer:
\(\left(a+4\right)\left(a-5\right)\)
Step-by-step explanation:
Break the expression into groups.
=(a^2+4a)+(−5a−20)
Factor out a from a2+4a: a(a+4)
Factor out −5 from −5a−20: −5(a+4)
=a(a+4)−5(a+4)
How long would it take R20000 invested today at a simple interest rate of 9% p.a. to reach an investment goal of R30000.
A Approximately 5.6 years
B Approximately 6.1 years
C Approximately 4.7 years
D Approximately 5.1 years
\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)
Dimensional analysis can be used by many professions, not just math and science fields.
A small herd of cattle eats 14 bales of hay in two weeks. How many bales will this herd eat in a
year?
What are you looking for?
What do you know?
heared about meet, wxa szcx ewn
Evaluate p+(-q)-2p+(−q)−2p, plus, left parenthesis, minus, q, right parenthesis, minus, 2 where p = -3p=−3p, equals, minus, 3 and q = 5q=5q, equals, 5.
Kahn Academy
The value of the expression when p =-3 and q =5 is -4
What are algebraic expressions?
Algebraic expressions are defined as expressions made up of variables, terms, factors, constants and coefficients.
They are also made up of mathematical or arithmetic operations such as:
AdditionSubtractionMultiplicationDivisionBracket, etcGiven the expression;
p + (-q) -2p
Where:
p = -3q = 5Now, substitute the values of p as - 3 and q as -5 in the expression, we have:
(-3) + (-5) - 2(-3)
expand the bracket
-3 - 5 + 6
add the values first
-3 - 1
-4
Thus, the value of the expression when p =-3 and q =5 is -4
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Ryan is finishing the fence around his house. He needs 7 pieces of wood, each 5 feet long. How much wood does Ryan need in all?
Ryan needs 35 feet of wood in total.
To calculate the total amount of wood Ryan needs, we can multiply the number of pieces of wood by the length of each piece.
Given:
Number of pieces of wood: 7
Length of each piece: 5 feet
To find the total amount of wood, we multiply:
Total wood = Number of pieces * Length of each piece
Total wood = 7 * 5
Total wood = 35 feet
Therefore, Ryan needs 35 feet of wood in total.
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question 31 pts a fair six-sided die is tossed 300 times. find the expected value of the sample mean of the values obtained in these 300 tosses (write it up to first decimal place).
The expected value of the sample mean of the values obtained in these 300 tosses is 3.5
Given :
A fair six sided die is tossed 300 times
We have to find the expected value of the sample mean of the values obtained in these 300 tosses.
A dice have six sides:
In a fair dice every side has equal chance of occurrence,
Now the probability of presence of each side = 1/6
Now the expected value of the sample mean of the values obtained in these 300 tosses is given by:
E(x) = Σx P(x =x)
= 1*1/6 + 2*1/6 + 3*1/6 + 4*1/6 + 5*1/6 + 6*1/6
= 1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6
= 1/6 (1+2+3+4+5+6)
= 1/6 (21)
= 21/6
E(x) = 3.5
Hence, the expected value of the sample mean of the values obtained in these 300 tosses is 3.5
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Henry has a box in the shape of a
square pyramid. He wants to wrap
the box with paper. If the base has
side lengths of 5 in. and the lateral
height is 8 in., about how much
wrapping paper will he need?
The amount of wrapping paper that he needs to cover the pyramid will be 105 square inches.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Henry has a box in the shape of a square pyramid.
He wants to wrap the box with paper.
If the base has side lengths of 5 in. and the lateral height is 8 in.
Then the amount of the wrapping paper that he needs to cover the pyramid will be
\(\rm Area = 4 \times \dfrac{1}{2} \times 5 \times 8 + 5 \times 5\\\\\\Area = 80 + 25\\\\\\Area = 105 \ in^2\)
Thus, the amount of wrapping paper that he needs to cover the pyramid will be 105 square inches.
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How would the graph of y = x change if the y-intercept is changed to -2?
Answer:
Step-by-step explanation:
y= x - 2
the graph would be parallel to y=x and every point would be shifted down 2 units
If you took any point on y = x and represented it as (x,y) then the new point would be (x,y - 2)
a study will be conducted to construct a 90% confidence interval for a population proportion. an error of 0.2 is desired. there is no knowledge as to what the population proportion will be. what sample size is required ?
A sample size of 17 is required to construct a 90% confidence interval for a population proportion with an error of 0.2.
To determine the sample size required to construct a 90% confidence interval for a population proportion with an error of 0.2 (or 20%), we need to use the formula for sample size calculation in proportion estimation.
The formula for sample size in proportion estimation is:
n = (Z² * p * q) / E²
Where:
n = required sample size
Z = Z-score corresponding to the desired confidence level (90% confidence level corresponds to a Z-score of approximately 1.645)
p = estimated or assumed population proportion (since there is no knowledge about the population proportion, we can assume a conservative value of 0.5 to get the maximum sample size)
q = 1 - p (complement of p)
E = desired margin of error (0.2 or 20% in this case)
Substituting the values into the formula:
n = (1.645² * 0.5 * (1 - 0.5)) / 0.2²
n = (2.705 * 0.5 * 0.5) / 0.04
n = 0.67625 / 0.04
n ≈ 16.90625
Since the sample size must be a whole number, we round up the result to the nearest whole number:
n = 17
Therefore, a sample size of 17 is required to construct a 90% confidence interval for a population proportion with an error of 0.2.
It's important to note that this calculation assumes maximum variability in the population proportion (p = 0.5) to ensure a conservative estimate. If there is any information or prior knowledge available about the population proportion, it should be used to refine the sample size calculation.
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A watering can dispenses water at the rate of 0.25 gallon per minute. The original volume of the water in the can was 6 gallons. Which set of ordered pairs shows the volume of water in the can in gallons, (y) as a function of time in minutes, (x) from the first minute after the can starts dispensing water?
A. {{1, 6.0), (2, 5.75), (3, 5.50}}
B. {{6.0, 1), (5.75,2), (5.50, 3}}
C.{{1, 5.72), (2, 5.50), (3,5.25}}
D{{5.75,1), (5.50,2), (5.25, 3}}
Answer:
C.{{1, 5.72), (2, 5.50), (3,5.25}}
The number of hours you study for an exam impacts your grade. What is a reasonable value of the range?
A. 2.16
B. -15
C. 80
D. 2/3
Answer:
80
Step-by-step explanation:
I just took the test
I NEED HELP ASAP PLEASEEE !!!!!
What is the solution to this system of equations?
101
8
y=0.5x + 9
y = -3x + 2
4
-2
2
6
O A. (-2,8)
O B. (4,-1)
O C. (8,-2)
O D. (-1,4)
Answer:
x= -2
y= 8
Step-by-step explanation:
Plug it in to make sure of course. Good luck
What is the probability that a flight between new york city and chicago is less than 140 minutes?
The probability that a flight takes more than 140 minutes is approximately 0.333. (Option d: P(x > 140) = 0.333)
To find the probability that a flight takes more than 140 minutes, we need to calculate the proportion of the total distribution that lies beyond 140 minutes.
Given that the time to fly is uniformly distributed between 120 and 150 minutes, we can determine the length of the entire distribution as:
Length of distribution = maximum time - minimum time = 150 - 120 = 30 minutes.
The proportion of the distribution that lies beyond 140 minutes can be calculated as:
Proportion = (Length of distribution - Length up to 140 minutes) / Length of distribution
= (30 - (140 - 120)) / 30
= (30 - 20) / 30
= 10 / 30
= 1/3
≈ 0.333
Therefore, the probability that a flight takes more than 140 minutes is approximately 0.333.
Hence, the correct option is:
d) P(x > 140) = 0.333
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Complete Question:
The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes.
What is the probability that a flight takes time more than 140 minutes? *
a-P(x> 140)=0.14
b-P(x> 140)=1.4
c-P(x> 140)=0
d-P(x> 140) = 0.333
I need help please i don't get this.
Answer:
22
Step-by-step explanation:
Points Y and X are are the midpoints of the segments HI and HG respectively.
Therefore,
By Mid-segment formula:
IG = 2*YX = 2* 11 = 22 units
\(\sqrt{45)\)
The required solution to the given radical expression √45 is 3√5.
What are the radical expressions?Any expression that contains a radical symbol is considered a radical expression. To find the square roots, cubic roots, and higher, radical symbols are used. For example, √7, √6, and √11 are in the radial form.
The radical expression is given in the question
√45
As per the given question, the required solution would be as:
√45 = √(3 × 3 × 5)
√45 = 3√5
Thus, the solution to the given expression is 3√5.
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Han wants to build a dog house. He makes a list of the materials needed:
At least 60 square feet of plywood for the surfaces
At least 36 feet of wood planks for the frame of the dog house
Between 1 and 2 quarts of paint
Han's budget is $65. Plywood costs $0.70 per square foot, planks of wood cost $0.10 per foot, and paint costs $8 per quart.
write inequalities to represent the material constraints and cost constraints in this situation.
Answer:
a) \(p \geq 60\,ft^{2}\), b) \(w \geq 36\,ft\), c) \(1\,qt \leq q \leq 2\,qt\), d) \(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\)
Step-by-step explanation:
In this question we proceed to translate each sentence into mathematical language and, more specifically, inequations:
a) At least 60 square feet of plywood for the surface
Let \(p\) the surface area of plywood, measured in square feet, and the inequation is:
\(p \geq 60\,ft^{2}\) (Eq. 1)
b) At least 36 feet of wood planks for the frame of the dog house
Let \(w\) the total length of wood planks, measured in feet, and the inequation is:
\(w \geq 36\,ft\) (Eq. 2)
c) Between 1 and 2 quarts of paint
Let \(q\) the total capacity of paint, measured in quarts, and the inequation is:
\(1\,qt \leq q \leq 2\,qt\) (Eq. 3)
d) Han's budget is $ 65. Plywood costs $ 0.70 per square foot, planks of wood cost $ 0.10 per foot and paint costs $ 8 per quart.
Dimensionally speaking, we understand that cost equals unit cost multiplied by physical variable (i.e. Area, length or capacity). Let \(p\), \(w\) and \(q\) the surface area of plywood, the total length of wood planks and the total capacity of paint, respectively. The sentence is represented by the following inequation:
\(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\) (Eq. 4)
Write an inequality to represent each constraint(material and cost)
Inequality to represent cost constraints is 0.70p + 0.10pw + 8pa ≤ 65Plywood:
plywood ≥ 60 square feet
Planks:
planks ≥ 36 feet
Paints
1 quarts ≤ paints ≤ 2 quarts
Inequality to represent cost constraint
Plywood = $0.70
planks of wood = $0.10
paint costs $8
Total cost = $65
0.70 × p + 0.10 × pw + 8 × Pa ≤ 65
0.70p + 0.10pw + 8pa ≤ 65
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Draw the digital circuit corresponding to the expression x(yz ′ +z) ′
To draw the digital circuit corresponding to the expression x(yz' + z), we can break it down into logical operations.
The given expression involves the logical operations of NOT, AND, and OR. In the circuit diagram, we would have three inputs: x, y, and z. Firstly, we need to calculate the complement of z (represented as z') using a NOT gate. The output of the NOT gate would then be connected to one input of the AND gate. The other input of the AND gate would be connected directly to the input y.
The output of the AND gate would be connected to one input of the OR gate. Finally, the input x would be directly connected to the other input of the OR gate. The output of the OR gate would be the result of the expression x(yz' + z).
The circuit would consist of an input x connected directly to an OR gate, while an input y would be connected to one input of an AND gate along with the complement of input z (z') obtained through a NOT gate. The output of the AND gate would be connected to the other input of the OR gate, and the output of the OR gate would represent the result of the given expression x(yz' + z).
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A term is a constant, a variable, or a ___ of numbers and variables.
A term is a constant, a variable, or a number-variable product.
What exactly is a variable?In algebra, a symbol (usually a letter) used to indicate an unknown numerical value in an equation or algebraic statement. A variable is a quantity that is changeable rather than fixed. In mathematics, a variable is an alphabet or phrase that represents an unknown amount, unknown value, or unknown number. Variables are very useful in algebraic expressions or algebra. As an example, the variables x and 9 are constants in the linear equation x+9=4.
A term can be a number, a constant, a variable, or the product of a number and a variable in this context.
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Members of a lacrosse team raised $2863.50 to go to a tournament. They rented a bus for $1087.50 and budgeted $74 per player for meals. Which equation or tape diagram could be used to represent the context if xx represents the number of players the team can bring to the tournament?
What is the least common denominator For 3/8 and 3/10
Step by Step Solution. Least Common Multiple is : 120. Calculate Least Common Multiple for : 3, 8 and 10. Factorize of the above numbers : 3 = 3. 8 = 23 10 = 2 • 5. Build a prime factors table. ...
What is f(1/2)? (1 over 2)
The measure of angle 1 is (10 x 8) degrees and the measure of angle 3 is (12 x minus 10) degrees. 2 lines intersect to form 4 angles. from top left, clockwise, the angles are 1, 2, 3, 4. what is the measure of angle 2 in degrees? 9 98 82 16
The measure of angle 2 would be 82 degrees.
Used the concept of vertically opposite angles that states,
Angles that cross two straight lines at a certain vertex and are vertically opposing to one another are known as vertically opposite angles.
Given that,
The value of angle 1 is \((10x+8)\) and the value of angle 3 is \((12x-10)\).
Now by definition of vertically opposite angles,
Angle 1 = Angle 3
Substitute the given values,
\(10x + 8 = 12x- 10\)
Solve for x,
\(8 + 10 = 12x - 10x\)
\(18 = 2x\)
Divide both sides by 2;
\(x = 9\)
Hence the measure of angle 3;
\(12x - 10 = 12\times 9 - 10\)
\(= 108 - 10\)
\(= 98\)
Here measure of angle 2 and angle 3 is a linear pair angle,
Angle 2 + Angle 3 = 180°
Substitute given values,
\(\angle 2 + 98 = 180\)
\(\angle 2 = 180 - 98\)
Therefore, the measure of angle 2 is,
\(\angle 2 = 82^\circ\)
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Peter wants to buy a coat that costs $87 at full price.The coat is now on sale for 40% off
Part A: Explain how Peter can use the fact that 10% of $87 is $8.70 to find the amount he will save on the coat
Part B: Use the same method to find the amount Peter would save on a $64 coat that is on sale for 40% off
Step-by-step explanation:
Hello!
Part A
Peter can use the fact that 10% of 87 is 8.70 to find the amount he would save because 40% is just 4 times bigger than 10% so he can take 8.70 from to total of the coat 4 times to find out how much it cost.
Part B
Using the same method we know that 10% of 64 is 6.40 so we subtract that from the price of the coat 4 times to find out how much it cost
64 - 6.40 = 57.6
57.6 - 6.40 = 51.2
51.2 - 6.40 = 44.8
44.8 - 6.40 - 38.4
The price of the coat is $38.4
Hope this helps!