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Could some one please tell me the explanation and answer to this section I will give 20 points
The expressions when evaluated are √(81/49) = 9/7 and (2/5)² = 4/5
How to evaluate the expressionsFrom the question, we have the following visible expressions that can be used in our computation:
√(81/49) and (2/5)²
Solving (a), we have
√(81/49)
Take the square roots
This gives
√(81/49) = 9/7
The expression cannot be further evaluated
Solving (b), we have
(2/5)²
Evaluate the exponents
This gives
(2/5)² = 4/5
The expression cannot be further evaluated
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an without replacement, what is the probability that the first 2 selected are white and the last 2 black?
There is a 0.99% chance of getting the first 2 white and the last 2 black if you draw 4 balls without replacement from a bag containing 10 white and 20 black balls.
If there are W white balls and B black balls in a bag, and you are drawing 4 balls without replacement, the probability that the first 2 selected are white and the last 2 black can be calculated as follows:
[tex]P(WWBB) = (W/ (W + B)) * ((W-1) / (W + B - 1)) * (B / (W + B - 2)) * ((B-1) / (W + B - 3))[/tex]
So, for example, if there are 10 white balls and 20 black balls, then the probability of getting the first 2 white and the last 2 black is:
[tex]P(WWBB) = (10 / 30) * (9 / 29) * (20 / 28) * (19 / 27) = 0.0099[/tex]
This means that there is a 0.99% chance of getting the first 2 white and the last 2 black if you draw 4 balls without replacement from a bag containing 10 white and 20 black balls.
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There are 26 letters in the English alphabet. Based on Section 2.2, there should be 226 possible subsets. (a) Is every possible subset a valid word? Explain or give an example. (b) On Sesame Street, Big Bird found the longest "word" ever seen. What was that word? (c) Explain why "ALONG" is a valid subset but "GALLON" is not a valid subset.
Not every possible subset is a valid word. The longest "word" seen on Sesame Street was a string of all 26 letters of the alphabet. "ALONG" is a valid subset because it can be found in the English dictionary, and it is a recognized English word.
(a) No, not every possible subset is a valid word. For example, the subset "zxy" is not a valid English word.
(b) The longest "word" seen on Sesame Street was a string of all 26 letters of the alphabet.
(c) "ALONG" is a valid subset because it can be found in the English dictionary, and it is a recognized English word. However, "GALLON" is not a valid subset because it is not a recognized word in the English language. This is because the letters are not arranged in the correct order, and there is no recognized word in the English language with this arrangement of letters.
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malia kept a weather journal for september. the sun was shining on 4 out of every 5 days. on what percent of the days was the sun not shining?
Answer:
4:5
Step-by-step explanation:
Answer:
80% shining
20% not shining
Jaime invested $3500 in an account with a 2.4% annual interest rate. She made no deposits or withdrawals on
the account for 3 years. If interest was compounded annually, create an equation that represents the balance in
the account after the 3 years.
Answer:
252 dollars
Step-by-step explanation:
so $3,500 * 2.4% is $84 * 3 gives you $252
I WILL GIVE BRAINLEST
ANSWER NOW IS DUEEEE. AND GIVE THE CORRECT ANSWER
The exposure time when x = 560 is: 13.66 hour
What is quadratic model?A method of simulating the relationship between two sets of variables is quadratic regression. The outcome is a regression equation that may be applied to the data to generate predictions. The formula for the equation is: y = ax² + bx + c, where a ≠ 0. Situations that may be approximated by quadratic functions include tossing a ball, firing a cannon, jumping from a platform, and striking a golf ball. Researchers may find the quadratic model to be a useful tool for data analysis in identifying the combined impact of success objectives on academic accomplishment. We anticipate that future studies on the impact of academic performance objectives will frequently use the quadratic model to analyse their data.
Given that,
T = 0.0002x² - 316x + 127.9
exposure time = T
Now, calculate exposure time when x = 560
So, T = 0.0002x² - 0.316x + 127.9
T = 0.0002×(560)² - 0.316 × (560) + 127.9
T = 62.72 - 176.96 + 127.9
T = 13.66 hour
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Could you please help me with 17, 18, and 19 please
Answer:
17
a. 5^4 = 625
b. 3^4 = 81
18
a. log base 10000 , 10 = -4
b. log base 2, 1/2 = -1
19. Inverse represent opposite functions, when you plug one into the other using variables, the result should be x.
Step-by-step explanation: Remember that when converting, use the base of the log function as the base of exponent. The answer to the log function represents the value of the exponent. Hope this helps!
THE ANSWER IS NOT 30.09 or 2.17. PLEASE HURRY ND PLEASE HELP ME!
A plane, 50 miles away from its destination, is flying toward the airport at an altitude of 30,500 feet. Later, this same plane is 20 miles from the airport and has descended to an altitude of 18,000 ft.
How far has the plane flown?
Answer:
In feet: [tex]\boxed{158,892 \textrm{ feet}}[/tex]
In miles: [tex]\boxed{\textrm{ 3.11 \;miles}}[/tex]
Step-by-step explanation:
A diagram really helps here and so I have drawn one for your understanding
From the diagram we see that Point A refers to the location of the plane when it is 50 miles away from the airport at am altitude of 30,500 feet
In a 2D coordinate system where x refers to the horizontal distance from the airport value and y refers to the altitude,
=> Point A has coordinates (50, 30500)
When the plane is 20 miles away from the airport, the altitude has dropped down to 18000 feet
This location is represented as point B(20, 18000)
The horizontal distance traveled by the plane is 50 - 20 = 30 miles
The vertical distance traveled by the plane(drop in altitude) is 30,500 - 18,000 = 12, 500
These two form the legs of a right triangle with the actual path of descent as the hypotenuse of the right triangle (see figure)
The distance c traveled by the plane is the distance from Point A to Point B which can be computed using the Pythagorean theorem given the two legs of the right triangle
The general formula is :
[tex]\mbox{\large c = \sqrt{a^{2} + b^{2}}}[/tex]
where c is the length of the hypotenuse, a and b are the lengths of the other two sides
We have a = 12, 500 feet and b = 30 miles
Convert miles to feet to get same units:
a = 12, 500 feet
b = 30 miles = 30 x 5280 feet = 158400
[tex]\mathbox{ c = \sqrt{158400^{2} + 12500^{2}}}[/tex]
[tex]c = \sqrt{25090560000 + 156250000}[/tex]
[tex]c = \sqrt{25246810000}[/tex]
[tex]\mathrm{c = 158,892.45 \;feet}\\[/tex]
[tex]\mathbox{ \textrm{c = 158,892 feet (to the nearest foot)}}[/tex]
So the distance traveled by the plane is 158, 992 feet (to the nearest foot)
This works out to 158992/5280 miles = 30.11 miles which is pretty close to 3.09
Maybe you are required to answer in feet and not in miles.
I don't know
furniture builder pays $100 for the materials necessary to build one porch swing. A store sells the swing for $250. What is the ratio of the cost in dollars of the materials to the sale price in dollars?
The ratio of the cost in dollars of the materials to the sale price in dollars is 0.4:1
The cost of the materials for one porch swing is $100 and the sale price of the swing is $250.
To find the ratio of the cost of the materials to the sale price, we divide the cost of the materials by the sale price as follows -
$100 ÷ $250 = 0.4
So, the ratio of the cost of the materials to the sale price is 0.4:1.
This means that for every $1 in the sale price, $0.4 is spent on materials or we can say that 40 cents of every dollar go towards materials.
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four more than three times a number is eight less than that number
Answer:
3(x)+4-8
find x.
Step-by-step explanation:
pathagorean theorum, solve and steps if possible
Answer: A, 4[tex]\sqrt{14}[/tex]
Step-by-step explanation:
18^2-10^2=224
[tex]\sqrt{224}[/tex] =4[tex]\sqrt{14}[/tex]
Answer: 4 √ 14
Step-by-step explanation:
Pythagorean theorem is (a^2 + b^2 = c^2)
Step 1. (10^2) + (x^2) = (18^2) {we divided the 20 by 2 to get one right triangle for the pythagorean theorem.}
Step 2. 100 + x^2 = 324
Step 3. x^2 = 224
Step 4. x ≈ 15 (rounded to the nearest whole number) (x = 14.9666295)
Step 5. Eliminate the wrong choices. B and D are both eliminated, because they are whole numbers, and they don't match the answer we got.
Step 6. Find the square root. 2 √ 106 is ≈ 20.59126, which isn't equal to our 14.966, .
Step 7. With all but one answer remaining, the answer would be 4 √ 14, and we can double-check. (14.9666295 = 14.9666295.)
Probability: The answer I got was C. is that correct?
The probability distribution function of Y is the set of all probabilities P(Y), for all possible values of Y[tex]P(Y) = (C(7, Y) * (12/52)^Y * (40/52)^{(7-Y)} /C(7, 52)[/tex]. Option E is correct.
Let Y be the discrete random variable that counts the number of face cards in a seven-card hand drawn from a standard 52-card deck. The possible values for Y are 0, 1, 2, 3, 4, 5, 6, and 7.
The number of ways to get Y face cards in a seven-card hand is given by the binomial coefficient C(7, Y), where C(7, Y) represents the number of combinations of 7 things taken Y at a time.
The probability of getting Y face cards in a seven-card hand is given by:
[tex]P(Y) = (C(7, Y) * (12/52)^Y * (40/52)^{(7-Y)} /C(7, 52)[/tex]
where [tex](12/52)^Y[/tex] represents the probability of drawing Y face cards and [tex](40/52)^{(7-Y)}[/tex] represents the probability of drawing the remaining 7-Y cards from the 40 non-face cards.
Thus, the probability distribution function of Y is the set of all probabilities P(Y), for all possible values of Y:
[tex]P(Y) = (C(7, Y) * (12/52)^Y * (40/52)^{(7-Y)} /C(7, 52)[/tex]
Y = 0, 1, 2, ..., 7
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.Is this equation linear or non linear? explain why.
Answer:
Non-linear
Step-by-step explanation:
y = 10/x is non-linear!
Because a linear equation is an equation of a straight line, which means the degree of a linear equation must be 0. In this case, the degree of variable y is 1; the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not linear.
Finding the time to reach a limit in a word problem on...
A laptop computer is purchased for $3300. Each year, its value is 75% of its value the year before. After how many years will the laptop computer be worth
$500 or less? (Use the calculator provided if necessary.)
Write the smallest possible whole number answer.
years
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill & \$ 500\\ P=\textit{initial amount}\dotfill &3300\\ r=rate\to 75\%\to \frac{75}{100}\dotfill &0.75\\ t=years \end{cases}[/tex]
[tex]500 = 3300(1 - 0.75)^{t} \implies \cfrac{500}{3300}=0.25^t\implies \cfrac{5}{33}=0.25^t \\\\\\ \log\left( \cfrac{5}{33} \right)=\log(0.25^t)\implies \log\left( \cfrac{5}{33} \right)=t\log(0.25) \\\\\\ \cfrac{\log\left( \frac{5}{33} \right)}{\log(0.25)}=t\implies 2\approx t\qquad \qquad \textit{to be exact, about 1 year and 131 days}[/tex]
solving 2x^2+x-4=0 using the quadratic formula
The solution for the given equation is C) [tex]x=\frac{-1+-\sqrt{33} }{4}[/tex]
What does a quadratic function mean?
A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other words, a "polynomial function of degree 2" is a quadratic function.
The formula for the solution of a quadratic equation [tex]ax^{2} +bx+c=0[/tex] is
[tex]x=\frac{-b+-\sqrt[2]{b^{2}-4ac } }{2a}[/tex].
So, the solution for the equation [tex]2x^{2} +x-4=0[/tex] is
[tex]x=\frac{-1+-\sqrt[2]{1^{2}-4*2*(-4) } }{2*2}\\x=\frac{-1+-\sqrt[2]{1+32 } }{4}\\x=\frac{-1+-\sqrt{33} }{4}[/tex]
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30 POINTS AND BRANLIEST
Mahek owns a holiday tree farm. There are currently 800 trees on the property. Each year 20% of the trees are harvested and sold, and 200 seedlings are planted. Write a recursive definition for the number of trees on the farm at the beginning of the nth year.
The recursive formula is,
aₙ = 0.20aₙ₋₁ + 200
The correct option is A.
What is a sequence?An ordered list of things is a sequence (or events). Similar to a set, it has members (also called elements, or terms). The length of the sequence is the number of ordered items (potentially infinite).
Given:
Mahek owns a holiday tree farm.
There are currently 800 trees on the property.
Each year, 20% of the trees are harvested and sold,
and 200 seedlings are planted.
a₁ = 800
The recursive formula is,
aₙ = 0.20aₙ₋₁ + 200
Hence, aₙ = 0.20aₙ₋₁ + 200
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PLEASE HELP!! (Click on Image for questions 5 and 6)
Answer:
5
a 113b 67c 676
a 77b 77c 103ay, i just want to have a conversation
Answer:
hey
Step-by-step explanation:
1.
Level 7-8 [Length: 7 minutes]
A small version of a rectangular company logo has an area of 120 cm². The ratio of the
width to the height is 5:6.
(a)
Determine the width and the height of the logo.
The logo is enlarged so that its area increases by 125%.
(b) Determine the width and height of the larger logo.
On solving the provided question, we can say that Length of rectangle = 50 m and Area of rectangle = 300 m.sq and the breadth of the garden is 6 m.
What is rectangle?A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.
Length of rectangle = 50 m and Area of rectangle = 300 m.sq
Since, Area of rectangle = length x breadth
Therefore, Breadth = 300/6
Thus, the breadth of the garden is 6 m.
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5846 dividido en 60 pado a paso
Answer:
97 R=26
Step-by-step explanation:
[tex]\frac{x}{6} x 3\frac{1}{2}[/tex]
Assuming,
Question: what is the simplest form of the expression [(X/6) + X³] * (1/2) ?
Solution:-
The simplest form of the expression [(X/6) + X³] * (1/2) is,
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
The expression,
[(X/6) + X³] * (1/2)
To simplify the expression [(X/6) + X³] * (1/2),
we can first simplify the two expressions in the parentheses:
(X/6) + X³ = X/6 + X³
(1/2) * (X/6 + X³) = X/12 + X³/2
So the simplified form of the expression [(X/6) + X³] * (1/2) is X/12 + X³/2.
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Use superposition to find vo in the given circuit where i1 = 6 a and i2 = 4 a
the voltage across the circuit ([tex]V_{0}[/tex]) is 80 volts.
In the superposition theorem, the voltage across any element in a linear circuit is equal to the sum of the voltages caused by each source acting independently. In other words, in a linear circuit, each source is treated as the only source, and the other sources are replaced with their internal resistances.
With the resistance value of 8 ohms, we can calculate the voltage across the circuit using the superposition theorem.
First, consider [tex]I_{1}[/tex] as the only source, and set [tex]I_{2} = 0 A[/tex]. The voltage across the circuit can be found using Ohm's law (V = IR), where R is the resistance in the circuit.
[tex]V_{1} = i1 * R = 6 A * 8 ohms = 48 V[/tex]
Next, consider [tex]I_{2}[/tex] as the only source, and set [tex]I_{1} = 0 A[/tex]. The voltage across the circuit can be found using Ohm's law (V = IR), where R is the resistance in the circuit.
[tex]V_{2} = i2 * R = 4 A * 8 ohms = 32 V[/tex]
Finally, the voltage across the circuit ([tex]V_{0}[/tex]) is the sum of the voltages found in steps 1 and 2.
[tex]V_{0} = V_{1} + V_{2} = 48 V + 32 V = 80 V[/tex]
So, the voltage across the circuit ([tex]V_{0}[/tex]) is 80 volts.
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During a winter storm, Lance measured these outside temperatures for each of four days.
Day One: −20°F
Day Two: −22°F
Day Three: −5°F
Day Four: +23°F
Which day had the coldest temperature?
One
Two
Three
Four
Answer:
Step-by-step explanation:
when does this come into play? what year??
The following data represent the dividend yields of a random sample of 28 pubicly traded stocks.
The following data represent the dividend yields of a random sample of 28 publicly traded stocks. The five number summary is: 0, 0.185, 0.72, 2.30, 3.58
What is traded shocks?The term "trade shocks" refers to changes in the amount of commodities and services exchanged globally as well as in international pricing that result in net profits or losses from trade. It has to do with changes in international marketplaces that frequently occur independently of national influences. Conventional wisdom is that terms-of-trade shocks are a significant contributor to business cycles in developing and underdeveloped nations. This viewpoint is founded in great part on the examination of calibrated business-cycle models.
(a) From the given table it is shown that,
0,3.58,0.37/2, (0.69+0.85)/2, (2.11 + 2.49)/2
The five number summary is: 0, 0.185, 0.72, 2.30, 3.58
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every day, the logan pet store uses 9/10 of a bag of dog food to feed the dogs. how many days will 1 4/5 bags of dog food last? write your answer as a fraction or as a whole or mixed number.
1 4/5 bags of dog food will last the LPS for approximately 8 and 3/10 days, or 8.3 days.
The Logan pet store uses 9/10 of a bag of dog food every day, which means they need 9/10 * 1 bag = 9/10 bags of dog food per day. To determine how many days 1 4/5 bags of dog food will last,
we need to divide the total amount of dog food by the amount used per day: 1 4/5 bags / (9/10 bags/day) = (9/10)*(18/5) / (9/10) = 18/5 days. Therefore, 1 4/5 bags of dog food will last for 18/5 days.
One 4/5 bags of dog food will last the Logan Pet Store (LPS) for approximately 8 and 3/10 days. This is because if the LPS uses 9/10 of a bag of dog food every day, then they are using 9/10 * 5/5 = 9/10 bags of dog food per day. If we divide 1 4/5 bags of dog food by 9/10 of a bag per day, we get (1 4/5) / (9/10) = (18/5) / (9/10) = 18/5 * 10/9 = 20/9 days. Therefore, 1 4/5 bags of dog food will last the LPS for approximately 8 and 3/10 days, or 8.3 days.
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Andrew and Sebastian are training for a weightlifting competition. In order to prepare, each of them has created their own personal training pian asidious
• Andrew will start off by lifting 50 pounds and will increase the weight he fifts by 10% each week
Sebastian will start off by lifting 40 pounds and will increase the weight he lifts by 10 pounds each week
Andrew's training plan can be modeled by an exponential function, and Sebastian's training plan can be modeled by a linear function. So, correct option is c) .
Describe Linear Function?A linear function is a mathematical function that maps a set of inputs to a set of outputs in such a way that the output is proportional to the input. In other words, if the input changes by a certain amount, the output changes by a constant factor.
The equation of a linear function has the form:
y = mx + b
where x is the input variable, y is the output variable, m is the slope of the line, and b is the y-intercept. The slope represents how much the output changes for each unit change in the input, and the y-intercept represents the output value when the input is zero.
Linear functions are represented by straight lines on a graph. If you plot the input and output values for a linear function on a graph, the resulting points will form a straight line. The slope of the line represents the rate of change of the output with respect to the input, and the y-intercept represents the initial value of the output.
In Andrew's training plan, the weight he lifts is increasing by a constant percentage each week, which is characteristic of exponential growth. In Sebastian's training plan, the weight he lifts is increasing by a constant amount each week, which is characteristic of linear growth.
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The complete question is:
Andrew and Sebastian are training for a weightlifting competition. In order to prepare, each of them has created their own personal training plan as follows:
Andrew will start off by lifting 50 pounds and will increase the weight he lifts by 10% each week.Sebastian will start off by lifting 40 pounds and will increase the weight he lifts by 10 pounds each weekWhich of the following statements are true?
a) Andrew and Sebastian both increase the weight they lift each week by the same amount.
b) Andrew's training plan can be modeled by a linear function, and Sebastian's training plan can be modeled by an exponential function.
c) Andrew's training plan can be modeled by an exponential function, and Sebastian's training plan can be modeled by a linear function.
d) Andrew increases the weight he lifts each week by equal factors, and Sebastian increases the weight he lifts each week by equal differences
e) Andrew increases the weight he lifts each week by equal differences, and Sebastian increases the weight he lifts each week by equal factors.
Find all the zeros of the quadratic function. y=x^2+11x+18 If there is more than one zero, separate them with commas. If there are no zeros, click on "None".
None. The discriminant of the quadratic equation is [tex]b^{2}[/tex]-4ac = [tex]11^{2}[/tex] - 4(1)(18) = 121 - 72 = 49, which is not a perfect square.
What is perfect square ?A perfect square is a number that can be expressed as the product of two equal integers. For example, 9 is a perfect square because it can be written as 3 x 3.
The zeros of this quadratic function can be found by setting the equation equal to 0 and solving for x.
0 = [tex]x^{2}[/tex] + 11x + 18
To solve for x, we can use the quadratic formula:
x = [-b ± √([tex]b^{2}[/tex] - 4ac)]/2a
Substituting in our values from the equation above, we get:
x = [-11 ± √([tex]11^{2}[/tex] - 4(1)(18))]/2(1)
x = [-11 ± √(-63)]/2
Since the square root of a negative number is not a real number, there are no zeros.
Therefore, the answer is None.
So, there are no real solutions.
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Riley wants to solve the equation 1/4(25x + 3/5) =-2.5 - 3/8x She uses a graphing program to graph the equations y = 1/4(25x + 3/5) and y=-2.5 - 3/8x. Use the graph to find the solution of 1/4(25x+3/5= -2.5-3/8x.
A. -0.4
B. -2.35
C. (-0.4,-2.35)
D. Cannot be determined
Using the graph, the solution of 1/4 (25x + 3/5) = -2.5 - 3/8x is the point of intersection which is
C. (-0.4,-2.35)What is the solution of system of equations?The variable mappings that satisfy each component equation, or the points where all of these equations intersect, are the solutions of systems of equations.
Finding all of these intersections or common solutions is what it means to solve a system.
Examining the attached graph the point of intersection is (-0.4,-2.35) and this is hence the solution.
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slice for x please and thank you
Answer:
x = 45
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the angles and equate to 360
x + 3x + 90 + 90 = 360
4x + 180 = 360 ( subtract 180 from both sides )
4x = 180 ( divide both sides by 4 )
x = 45