Answer:
Hey avagharrison !
• Question a)
\( { \tt{ \frac{29 \times 31}{0.27} }} \\ \\ \dashrightarrow \: { \boxed{ \tt{3330 \: \: [1 \: s.f]}}}\)
• Question b)
\({ \tt{ \frac{4.8 \times 37}{0.21} }} \\ \\ \dashrightarrow \: { \boxed{ \tt{846 \: \: [1 \: s.f]}}}\)
• Question c)
\({ \tt{ \frac{9.7 \times 26}{0.022} }} \\ \\ \dashrightarrow \: { \boxed{ \tt{11464 \: \: [1 \: s.f]}}}\)
s.f stands for significant figure.
Jada has been helping her younger brother practice his math facts all week. Each time they practice, Jada gives her brother 3 minutes to do as many math facts as he can. On Monday, Jada's brother completed 48 math facts. On Tuesday, he did better and completed 57 math facts. How many more math facts per minute did Jada's brother complete on Tuesday than on Monday?
Write your answer as a decimal or a whole number.
After working for the government for years, Geordi goes to work for an engineering firm that lobbies for more government funding. This is an example of
Geordi's transition from working for the government to joining an engineering firm that advocates for increased government funding is an example of the "revolving door" phenomenon.
The "revolving door" refers to the movement of individuals between government positions and jobs in the private sector that are closely related to government affairs. In this case, Geordi's shift from a government job to an engineering firm involved in lobbying for government funding reflects this phenomenon.
The revolving door can raise concerns about potential conflicts of interest and the influence of special interest groups on government policies and decisions. While Geordi's move is not inherently unethical or illegal, it highlights the close relationship between government entities and private industries, and the potential for individuals to leverage their expertise and connections for personal or corporate gain.
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The data show the number of tablet sales in millions of units for a 5-year period. Find the median. 108.2 17.6 159.8 69.8 222.6 a. 108.2 Ob. 159.8 O c. 222.6 O d. 175.0
The data show the number of ta
The median of the given data set is 108.2 million units.
To find the median, the data set needs to be arranged in ascending order:
17.6, 69.8, 108.2, 159.8, 222.6
Since the data set has an odd number of values (5 in this case), the median is the middle value. In this case, the middle value is 108.2 million units. Therefore, the answer is option a) 108.2.
The median is a measure of central tendency that represents the middle value in a data set when it is arranged in ascending or descending order. It is useful for determining the typical or representative value of a data set, especially when there are outliers or extreme values.
In this case, the median value of 108.2 million units indicates that half of the tablet sales in the 5-year period were below 108.2 million units, and the other half were above. It provides a useful summary measure to understand the central tendency of the tablet sales data set.
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Calculate the present value of a four-period annuity of $200 per year that begins two years from today if the discount rate is 9%?
Please give me full answers with showing all the formulas and workings .
The present value of a four-period annuity of $200 per year, begins two years from today, can be calculated using the present value of an annuity formula.With a discount rate of 9%, the present value approx $703.30.
To calculate the present value of the annuity, we use the formula PV = C * [1 - (1 + r)^(-n)] / r, where PV represents the present value, C is the cash flow per period, r is the discount rate, and n is the number of periods.
In this case, C = $200, r = 9% (0.09 as a decimal), and n = 4. We substitute these values into the formula: PV = $200 * [1 - (1 + 0.09)^(-4)] / 0.09.
Next, we simplify the formula: PV = $200 * [1 - 0.683013455] / 0.09.
Evaluating the expression inside the brackets, we have PV = $200 * 0.316986545 / 0.09.
Performing the division, we find that the present value is approximately $703.30.
Therefore, the present value of the four-period annuity is approximately $703.30 when the discount rate is 9%.
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x • 1 + x/1=? ,,,,,,,,,,,,,,,,,,,,,
\( \huge \boxed{\mathfrak{Question} \downarrow}\)
\( \large \sf \: x \cdot 1 + \frac { x } { 1 } = ? \\ \)
\( \huge \boxed{\mathfrak{Answer} \downarrow}\)
\( \large \sf \: x \cdot 1 + \frac { x } { 1 } \\ \)
Anything divided by one results in itself.
\( \large \sf \: x\times 1+x \)
Combine x × 1 and x to get 2x.
\( = \large \boxed{ \bf \: 2x}\)
The correct answer is 2x.A town has 3500 families who own a car. If this represents 28% of the families in the town how many families are there in total
The number of families of the town will be 25000.
What is exponential?
The exponential is an example of a mathematical function that is useful in determining if something is increasing or decreasing exponentially is the exponential function. As implied by its name, an exponential function uses exponents. But take note that an exponential function does not have a variable as its exponent and a constant as its base (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
A town has 3500 families who own a car.
If this represents 28% of the families in the town how many families
28x/100=3500
x=350000/28
x=12500
Hence, The number of families of the town will be 25000.
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2 : 3 = .... : 9 ?
5 : 10 = 20 : ...?
1 : 3 = 8 : 24 ......?
4 : 3 = 16 : 2 ....?
Step-by-step explanation:
first one is 6:9
second is 20:40
sorry I'm not sure about the others!
Answer:
six
40
72
12
Step-by-step explanation:
9/3=3 so then do 2x3= six
20/5=4 so then do 4x10= 40
24/1= 24 so then do 24x3= 72
sixteen/4= 4 so then do 3x4= 12
Hope this helps mark me brainiest and leave a thanks please
Work out the area of ABCD.
Give your answer to 1 decimal place.
Area of the quadrilateral ABCD = (21.5 + 23.4) cm² = 44.9 cm²
How to calculate the area of ABCD?Quadrilateral ABCD is formed from two triangles ΔABD and ΔBDC.So, Area of quadrilateral ABCD= area of ΔABD and Δ BDC.
How to find area of triangle ABD?ΔABD is a right angled triangle, right angled at A, BD is the hypotenuse.
Area of ΔABD = AD x AB/2We know that in a right angled triangle, cosФ= \(\frac{base}{hypotenuse}\) and sinФ= \(\frac{perpendicular}{hypotenuse}\), where Ф is the angle between base and hypotenuse.Cos(55°) = \(\frac{AD}{10}\)
⇒ AD = 5.7 cm
Sin(55°)=\(\frac{AB}{10}\)
⇒AB=8.2 cm
Area of Δ ABD = ( 8.2 x 5.7/2) cm² =23.4 cm²
How to find area of triangle BDC?We can find the area of the triangle by the formula BD x CD x sin(44°)/2We know that sum of all the angles of a triangle is 180°∠BDC+∠BCD+∠DBC=180°
⇒∠BCD=180°-44°-38°=99°
We know according to sine rule,in a triangle ABC, \(\frac{sinA}{a}=\frac{sinB}{b} =\frac{sinc}{c}\), where a,b,c are corresponding sides opposite to angle A,B,C
In ΔBDC
\(\frac{sin99}{10}=\frac{sin38}{CD}\)
⇒CD =6.2 cm
Area of Δ BDC = {6.2 x 10 x sin(44°)/2} cm² = 21.5 cm²
∴ Area of the quadrilateral ABCD = (21.5 + 23.4) cm² = 44.9 cm²
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Determine the average and rms values for the function y(t)=25+10sin6πt over the time periods (a) 0 to 0.1 s, (b) 0.4 to 0.5 s, (c) 0 to 1/3 s, and (d) 0 to 20 s. Comment on the nature and meaning of the results in terms of analysis of dynamic signals.|
Comment: RMS value is equal to the average value. This means that the signal does not have any high-frequency content. It can be inferred that the function y(t) does not oscillate. When the RMS value is less than the average value, it means that the signal has a lesser amount of high-frequency content.
Average and rms values for the function y(t)=25+10sin6πt over the time periods (a) 0 to 0.1 s, (b) 0.4 to 0.5 s, (c) 0 to 1/3 s, and (d) 0 to 20 s are as follows:
a) For t=0 to t=0.1s:
Average value, y_avg = 25
RMS value, y_RMS = 25.1987
Comment: RMS value is greater than the average value. This means that the signal has a considerable amount of high-frequency content. It can be inferred that the function y(t) oscillates rapidly.
b) For t=0.4 to t=0.5s:
Average value, y_avg = 25
RMS value, y_RMS = 28.2843
Comment: RMS value is greater than the average value. This means that the signal has a considerable amount of high-frequency content. It can be inferred that the function y(t) oscillates rapidly.
c) For t=0 to t=1/3 s:
Average value, y_avg = 25
RMS value, y_RMS = 23.7176
Comment: RMS value is less than the average value. This means that the signal has a lesser amount of high-frequency content. It can be inferred that the function y(t) oscillates slowly.
d) For t=0 to t=20 s:
Average value, y_avg = 25
RMS value, y_RMS = 25
Comment: RMS value is equal to the average value. This means that the signal does not have any high-frequency content. It can be inferred that the function y(t) does not oscillate. Comment on the nature and meaning of the results in terms of analysis of dynamic signals.The results indicate that the function y(t) oscillates rapidly at the start and end of the time period and slowly in the middle. When the RMS value is greater than the average value, it means that the signal has a considerable amount of high-frequency content.
On the other hand, when the RMS value is less than the average value, it means that the signal has a lesser amount of high-frequency content.
Furthermore, if the RMS value is equal to the average value, it means that the signal does not have any high-frequency content.
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518. Coin Change 2
You are given coins of different denominations and a total amount of money. Write a function to compute the number of combinations that make up that amount. You may assume that you have infinite number of each kind of coin.
If we have coins = [1, 2, 5] and amount = 5, then the function should return 4, because there are four combinations of coins that make up an amount of 5: [1, 1, 1, 1, 1], [1, 1, 1, 2], [1, 2, 2], and [5].
This problem can be solved using dynamic programming. Let's define dp[i][j] as the number of combinations of coins using the first i coins to make up an amount j. Then we can use the following recurrence relation:
dp[i][j] = dp[i-1][j] + dp[i][j-coins[i]]
The first term on the right-hand side of the equation corresponds to the case where we don't use the i-th coin, while the second term corresponds to the case where we use the i-th coin at least once. Note that we only need to consider cases where j >= coins[i], because it's impossible to make up an amount less than the value of the i-th coin using that coin.
We can initialize dp[0][0] = 1, because there is exactly one way to make up an amount of zero using no coins. Finally, the answer to the problem is dp[n][amount], where n is the total number of coins.
Here's the Python code:
def change(amount, coins):
n = len(coins)
dp = [[0] * (amount+1) for _ in range(n+1)]
dp[0][0] = 1
for i in range(1, n+1):
dp[i][0] = 1
for j in range(1, amount+1):
dp[i][j] = dp[i-1][j]
if j >= coins[i-1]:
dp[i][j] += dp[i][j-coins[i-1]]
return dp[n][amount]
For example, if we have coins = [1, 2, 5] and amount = 5, then the function should return 4, because there are four combinations of coins that make up an amount of 5: [1, 1, 1, 1, 1], [1, 1, 1, 2], [1, 2, 2], and [5].
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determine whether the integral is convergent or divergent. if it is convergent, evaluate it. (if the quantity diverges, enter diverges.) 1 26 e1/x x3 dx
The given integral, ∫(1 to 26) e^(1/x) / x^3 dx, diverges.
To determine whether the integral is convergent or divergent, we need to analyze the behavior of the integrand as x approaches the limits of integration. In this case, the limits of integration are from 1 to 26.
Let's consider the function e^(1/x) / x^3. As x approaches 0 from the right (x → 0+), the numerator e^(1/x) approaches 1 since the exponent tends to 0. However, the denominator x^3 approaches 0, resulting in an undefined value for the integrand at x = 0.
As a result, the integrand has an essential singularity at x = 0, which makes the integral divergent. When an integrand has an essential singularity within the interval of integration, the integral does not converge.
Therefore, the given integral, ∫(1 to 26) e^(1/x) / x^3 dx, diverges.
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I need help with this problem
True or false. All rational functions can be gained by transforming y = 1 / x.
Any graph of a rational function can be obtained from the reciprocal function f(x)=1x f ( x ) = 1 x by a combination of transformations including a translation, stretches and compressions.
The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 40
pizzas in all, 40% of which were mushroom pizzas. How many mushroom pizzas did the
cafeteria make?
Answer
16 mushroom pizzas
x^2+3x-24=
x
2
+3x−24=
\,\,3x+1
3x+1
Answer:
x=8 lol this is so easyndiewkkwwkwkwkw
which statement is correct regarding and the parent function ?The domains of g(x) and f(x) are the same, but their ranges are not the same.
The ranges of g(x) and f(x) are the same, but their domains are not the same.
The ranges of g(x) and f(x) are the same, and their domains are also the same.
The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.
The correct statement is: "The domains of g(x) and f(x) are the same, but their ranges are not the same."
The statement "The domains of g(x) and f(x) are not the same, and their ranges are also not the same" is correct. In general, when considering functions g(x) and f(x) derived from a parent function, the transformations applied to the parent function can affect both the domain and the range. The domain of a function refers to the set of all possible input values, while the range represents the set of all possible output values. Through transformations such as shifts, stretches, compressions, or reflections, the domain and range of a function can be altered. Therefore, it is possible for the domains and ranges of g(x) and f(x) to differ from each other and from the parent function.
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What is the prime factorization of 72?
22 32
22 X 3
0 23 X 32
23 X 33
Da
Intro
Find the solution of the following initial value problem.g'(x)= 3x(x^2 -1/3) ; g(1) = 2
According to the question we have the solution of the given differential equation initial value problem is: g(x) = (3/4)x^4 - x + 9/4 .
To solve the given initial value problem, we need to integrate both sides of the differential equation. We have:
g'(x) = 3x(x^2 - 1/3)
Integrating both sides with respect to x, we get:
g(x) = ∫[3x(x^2 - 1/3)] dx
g(x) = ∫[3x^3 - 1] dx
g(x) = (3/4)x^4 - x + C
where C is the constant of integration.
To find the value of C, we use the initial condition g(1) = 2. Substituting x = 1 and g(x) = 2 in the above equation, we get:
2 = (3/4)1^4 - 1 + C
2 = 3/4 - 1 + C
C = 9/4
Therefore, the solution of the given initial value problem is:
g(x) = (3/4)x^4 - x + 9/4
In more than 100 words, we can say that the given initial value problem is a first-order differential equation, which can be solved by integrating both sides of the equation. The resulting function is a family of solutions that contain a constant of integration. To find the specific solution that satisfies the initial condition, we use the given value of g(1) = 2 to determine the constant of integration. The resulting solution is unique and satisfies the given differential equation as well as the initial condition.
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If f(x) = k where k is a constant, and the
points (6, 1) and (8, 1) lie on the graph of y
= f(x), what is the value of f(0)?
Answer:
f(0) = 1Step-by-step explanation:
Since f(x) = k, is constant the value of k is same for any x.
From the given points we see:
f(6) = 1 and f(8) = 1It means k = 1 and the function is:
y = f(x) = 1The value of f(0) = 1
Adam plans to choose a video game from a section of the store where everything is 75%
off. He writes the expression d−0.75d
to find the sale price of the game if the original price is d
dollars.
Rena correctly writes another expression, 0.25d
, that will also find the sale price of the game if the original price is d
dollars.
Drag each description to explain each part of both expressions.
d = Original price of video game
0.25 = Percent of original price Adam will pay
Percent discount = 0.75
d = Original price of video game
0.75d = Amount of discount
0.25d = Sale price of video game
d - 0.75d = Sale price of video game
Which description explain each part of both expressions?Adam plans to choose a video game from a section of the store where everything is 75% off.
The expression written by him for this situation is d - 0.75d.
Here, the part d represents the sale price before discount and the part 0.75d is the discount amount.
The expression written by Rena is 0.25d.
Here, the part 0.25d is the price after discount. Since 75% is the discount, the rate after disount is 25% and 25% of d is 0.25d.
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What is a stock index? a. The average change in a stock’s price over a given period. b. An indicator of market strength based on the prices of several specific stocks. c. A listing of all stocks available in a specific market. d. The current number of stocks in your portfo
Fencer X makes an attack that is successfully parried. Fencer Y makes an immediate riposte while at the same time Fencer X makes a remise of the attack. Both fencers hit valid target. Prior to the referee making his call, Fencer Y acknowledges a touch against them. What should the Referee do
The referee should honor Fencer Y's acknowledgment of being touched and award the point to Fencer X, nullifying Fencer Y's riposte. This ensures fairness and upholds the integrity of the competition.
In this situation, Fencer X initially makes an attack that is successfully parried by Fencer Y. However, Fencer Y immediately responds with a riposte while Fencer X simultaneously executes a remise of the attack.
Both fencers hit valid target areas. Before the referee can make a call, Fencer Y acknowledges that they have been touched.
In this case, the referee should prioritize fairness and integrity. Fencer Y's acknowledgement of the touch indicates their recognition that they were hit.
Therefore, the referee should honor Fencer Y's acknowledgment and award the point to Fencer X. Fencer Y's riposte becomes void because they have acknowledged being touched before the referee's decision.
The referee's duty is to ensure a fair competition, and in this case, upholding Fencer Y's acknowledgment results in a just outcome.
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In a flower display, there are spaces for 3 plants. If there are 9 plant options, how many different ways can the plants be arranged? Hint: Are repeats allowed?
There are different consecutive ways that the flowers can be planted:
3,9,15,21 and so on.
Numbers that follow each other in a regular counting order or pattern are called consecutive numbers. They are written sequentially, where the difference between the numbers is fixed and no number in between is skipped.
Given that:
Roses plants in 1st, 2nd, row are:
3,9 ,.....
Since difference between consecutive terms is same:
It is an AP
We have to find number of row in the flower bed:
Lets assume there are n rows in the flowers bed.
We know that:
aₙ = a + (n-1)d
and d = 9-3 = 6
Therefore, the next numbers can be:
3,9,15 ,21 ......
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HELP ASAP I NEED HELP AND I'M DESPERATE.
Answer:
Blank 1. -2x+4
Blank 2. x+2
Step-by-step explanation:
Which sequence shows the numbers in order from least to greatest?
A.
B.
C.
D.
Answer:
The answer is C
Step-by-step explanation:
-6 is the largest because it is an absolute value number so it turns into 6
-100 is the smallest because the bigger a negative number is the smaller it actually is.
Find the minimum value of the function f(x) =0. 9x2+3. 4x-2. 4
The minimum value of the function f(x) =0. 9x2+3. 4x-2. 4 is -3.77 and its parabolic curve is upward because of its minimum value.
Let's consider the equation of a function.
f(x) = \(0.9x^{2} + 3.4x -2.4\)
Now, divide each and every element and assume that a, b, and c are coefficients of the function given.
a: 0.9
b: 3.4
c: -2.4
The sign of the coefficient of a determines the exposure of the parabola. Since a > 0, the parabola is open upwards and has a minimum value.
We can find the "x" of the vertex using the following expression.
x(v) = -b/2a = -3.4/(0.9)
x(v) = -3.77
We can find the "y" of the vertex by replacing this x in the equation
y(v) = 0.9(-3.77)² + 3.4(-3.77) -2.4
y(v) = -2.42
The minimum value of the function is -3.77
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Find the exact values of x and y.
Answer:
x = 13 unitsy = 18.4 units
Step-by-step explanation:
from the angles we understand that it is an isosceles right triangle, therefore x is also 13, we find y with the Pythagorean theorem
y = √(13² + 13²)
y = √(169 + 169)
y = √338
y = 18.38 (you can round to 18.4)
Answer:
x = 13 , y = 18.38
Step-by-step explanation:
p.s. There is two ways to answer it.
In Triangle,
if there is a right angle, other angles are the same.
It the angles are the same, the two sides are the same.
So, x = 13
By the Converse of the Pythagorean Theorem , these values make the triangle a right triangle.
(hypotenuse)² = (side of right triangle)² + (other side of right triangle)²
(hypotenuse)² = 13² + 13²
(hypotenuse)² = 169 + 169
(hypotenuse)² = 338
hypotenuse = 18.38
so y = 18.38
What is the best estimate for the value of the expression?
(34/8-16/3)-14/9
Answer:
The best estimate is -2.64
Step-by-step explanation:
To get the estimate value we are rounding all values to the nearest hundredth
You use BOMDAS/PEMDAS to do this expression
(34/8 - 16/3) - 14/9
= 4.25 - 5.33 - 14/9
= 4.25 - 5.33 - 1.56
= -1.08 - 1.56
= -2.64
Roxanne has 142 songs on her MP3 player Tessa has 11 times as many songs as Roxanne so how many songs does Tessa have?
Hurry I need this :(
Answer:
142×11=1152
Step-by-step explanation:
hope it helps you:)
Which is true about the polynomial y2 – 3y + 12?It is a binomial with a degree of 2.It is a binomial with a degree of 3.It is a trinomial with a degree of 2.It is a trinomial with a degree of 3.
y^2 - 3y + 12 is a trinomial with a degree of 2, also known as a quadratic trinomial.
The given polynomial y^2 - 3y + 12 is a trinomial with a degree of 2. A polynomial is a mathematical expression that contains one or more terms involving variables and coefficients. In this case, there are three terms: y^2, -3y, and 12. A binomial is a polynomial consisting of two terms, while a trinomial has three terms. Therefore, y^2 - 3y + 12 is a trinomial.
The degree of a polynomial is the highest exponent of the variable in the polynomial. In this case, the highest exponent of y is 2, so the degree of the polynomial is 2. This degree is also known as the quadratic degree.
It is important to identify the number of terms and degree of a polynomial when solving equations or simplifying expressions involving polynomials. Additionally, the properties of polynomials, such as factoring and graphing, are also influenced by these characteristics.
In summary, y^2 - 3y + 12 is a trinomial with a degree of 2, also known as a quadratic trinomial.
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