Answer:
The value of \(x\) :
\(x = 16\)
Step-by-step explanation:
-To find the value of x, you need to use \(3x + 18\) and \(66\textdegree\) written as in equation like this:
\(3x + 18 = 66\)
-Then, you solve for it:
\(3x + 18 = 66\)
\(3x + 18 -18 = 66 -18\)
\(3x = 48\)
\(\frac{3x}{3} = \frac{48}{3}\)
\(x = 16\)
So, therefore the final answer is \(x = 16\).
another financial analyst, who also works for the online trading platform, claims their clients have a lower proportion of stock portfolios that contain high-risk stocks. this financial analyst would like to carry out a hypothesis test and test the claim that the proportion of stock portfolios that contain high-risk stocks is lower than 0.10. why is their hypothesis test left-tailed?
The hypothesis test is left-tailed because the financial analyst wants to test if the proportion of stock portfolios containing high-risk stocks is lower than 0.10.
In other words, they are interested in determining if the proportion is significantly less than the specified value of 0.10. A left-tailed hypothesis test is used when the alternative hypothesis suggests that the parameter of interest is smaller than the hypothesized value. In this case, the alternative hypothesis would be that the proportion of stock portfolios with high-risk stocks is less than 0.10.
By conducting a left-tailed test, the financial analyst is trying to gather evidence to support their claim that their clients have a lower proportion of high-risk stock portfolios. They want to determine if the observed data provides sufficient evidence to conclude that the true proportion is indeed less than 0.10, which would support their claim of a lower proportion of high-risk stocks.
Therefore, a left-tailed hypothesis test is appropriate in this scenario.
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Please help me understand this
Answer:
\(x=11\)
Step-by-step explanation:
So we have the equation:
\(\frac{-2-2x}{3} =-8\)
First, multiply both sides by 3. This cancels out the denominator:
\(3(\frac{-2-2x}{3} )=3(-8)\)
The left side cancels. Multiply the right:
\((-2-2x)=-24\)
Add 2 to both sides. The 2s on the left cancel:
\((-2-2x)+2=(-24)+2\\-2x=-22\)
Divide both sides by -2. The -2 on the left cancel.
\((-2x)/-2=(-22)/-2\\x=11\)
Therefore, the answer is 11.
Answer:
x = 11
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
*(-2-2*x)/(3)-(-8)=0
Simplify:
*-2 - 2x / 3
Pull out like factors:
*-2 - 2x = -2 • (x + 1)
Now It should look like this:
-2 • (x + 1) / 3 - (-8) = 0
Rewrite the whole as a equivalent fraction using 3 as the denominator:
*-8 = -8 / 1 = -8 • 3 / 3
Add the two equivalent fractions which now have a common denominator
-Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
*-2 • (x+1) - (-8 • 3) / 3 = 22 - 2x / 3
Pull out like factors:
*22 - 2x = -2 • (x - 11)
Now you should have this:
*-2 • (x - 11) / 3 = 0
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
-Now, to get rid of the denominator, multiply both sides of the equation by the denominator.
*-2•(x-11) / 3 • 3 = 0 • 3
-Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
Now you should have this:
*-2 • (x-11) = 0
Now Solve:
x-11 = 0
-Add 11 to both sides of the equation:
x = 11
(Theoretical Probability MC)
Joseph has a bag filled with 3 red, 3 green, 9 yellow, and 10 purple marbles. Determine P(not green) when choosing one marble from the bag.
92%
88%
24%
12%
The probability of not selecting a green marble is equal to the total number of non-green marbles in the bag divided by the total number of marbles in the bag.
What is the meaning of probability and it will be calculated?To calculate the probability: there are three green marbles out of a total of twenty-five marbles, so the probability of selecting a green marble is 3/25.
The likelihood of not selecting a green marble is then 1 - 3/25 = 22/25.
This is equal to 22/25 * 100 = 88% as a percentage.
As a result, P(not green) = 88%
Probability denotes the possibility of something happening. It is a mathematical branch that deals with the onset of a random event. The value ranges from zero to one. Probability has been tried to introduce in mathematics to predict the probability of events occurring. Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also used in probability distribution, in which you will learn about the possible outcomes of a random experiment.
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Problem 2. Let T: R³ R3[r] be the linear transformation defined as T(a, b, c) = x(a+b(x - 5) + c(x - 5)²). (a) Find the matrix [TB,B relative to the bases B = [(1, 0, 0), (0, 1, 0), (0,0,1)] and B' = [1,1 + x, 1+x+x²,1+x+x² + x³]. (Show every step clearly in the solution.) (b) Compute T(1, 1, 0) using the relation [T(v)] = [TB,B[v]B with v = (1,1,0). Verify the result you found by directly computing T(1,1,0).
Comparing this with the result from the matrix multiplication, we can see that they are equivalent matches with T(1, 1, 0) = x(x - 4).
(a) To find the matrix [T]B,B' relative to the bases B and B', we need to express the images of the basis vectors of B in terms of the basis vectors of B'.
Given T(a, b, c) = x(a + b(x - 5) + c(x - 5)²), we can substitute the basis vectors of B into the transformation to get the images:
T(1, 0, 0) = x(1 + 0(x - 5) + 0(x - 5)²) = x
T(0, 1, 0) = x(0 + 1(x - 5) + 0(x - 5)²) = x(x - 5)
T(0, 0, 1) = x(0 + 0(x - 5) + 1(x - 5)²) = x(x - 5)²
Now, we express these images in terms of the basis vectors of B':
[x]B' = [1, 0, 0, 0][x]
[x(x - 5)]B' = [0, 1, 0, 0][x]
[x(x - 5)²]B' = [0, 0, 1, 0][x]
Therefore, the matrix [T]B,B' is:
[T]B,B' = [[1, 0, 0, 0],
[0, 1, 0, 0],
[0, 0, 1, 0]]
(b) To compute T(1, 1, 0) using the relation [T(v)] = [T]B,B'[v]B, where v = (1, 1, 0):
[T(1, 1, 0)] = [T]B,B'[(1, 1, 0)]B
[T(1, 1, 0)] = [T]B,B'[(1, 1, 0)]B'
[T(1, 1, 0)] = [T]B,B'[[1], [1 + x], [1 + x + x²], [1 + x + x² + x³]] (Matrix multiplication)
Using the matrix [T]B,B' from part (a):
[T(1, 1, 0)] = [[1, 0, 0, 0],
[0, 1, 0, 0],
[0, 0, 1, 0]]
[[1], [1 + x], [1 + x + x²], [1 + x + x² + x³]]
Performing the matrix multiplication:
[T(1, 1, 0)] = [[1 × 1 + 0 × (1 + x) + 0 ×(1 + x + x²) + 0 × (1 + x + x² + x³)],
[0 × 1 + 1 × (1 + x) + 0 × (1 + x + x²) + 0 × (1 + x + x² + x³)],
[0 × 1 + 0 × (1 + x) + 1 × (1 + x + x²) + 0 × (1 + x + x² + x³)]]
Simplifying:
[T(1, 1, 0)] = [[1],
[1 + x],
[1 + x + x²]]
To directly compute T(1, 1, 0):
T(1, 1, 0) = x(1 + 1(x - 5) + 0(x - 5)²)
= x(1 + x - 5 + 0)
= x(x - 4)
Therefore, T(1, 1, 0) = x(x - 4)
Comparing this with the result from the matrix multiplication, we can see that they are equivalent:
[T(1, 1, 0)] = [[1],
[1 + x],
[1 + x + x²]]
which matches with T(1, 1, 0) = x(x - 4)
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find the square root of the following by prime factorization method.
4225
Answer:
\(\boxed{=65}\\\)
Step-by-step explanation:
\(\begin{array} {c|c}4225&5\\845&5\\169&13\\13&13\\1\\\end{array}\\\\\\4225=5^2*13^2\\\\\sqrt{4225} \\\\=5^{\frac{2}{2} }*13^{\frac{2}{2} }\\\\=5*13\\\\\boxed{=65}\\\)
if the three angles of a triangle are equal what is the measurement of each angle
Answer: 60°
Step-by-step explanation: since all angles are equal so it is an Equilateral triangle and each angle would be 60° because sum of all angles in a triangle is 180°
Simplify the expression 7 - X-(-5x) - 10 + 4x.
According to data from the U.S. Department of Education, the average cost y of tuition and fees at public four-year institutions in year x is approximated by the equation where x = 0 corresponds to 1990. If this model continues to be accurate, during what year will tuition and fees reach $4000?
Answer:
Graphing Calculator
Step-by-step explanation:
Use the greatest common factor and the distributive property to write an equivalent expression in factored form for the following expression: 4d +12e. Do not use spaces.
Answer:
4
Step-by-step explanation:
The greatest common factor of \(4d+12e\) is \(4\).
\(4(d+3e)\)
What is the molarity of a solution formed by dissolving 97.7 g LiBr in enough water to yield 1500.0 mL of solution? The correct answer is 0.750M
the molarity of the solution formed by dissolving 97.7 g of LiBr in enough water to yield 1500.0 mL of solution is approximately 0.750 M.
To calculate the molarity of a solution, we need to divide the moles of solute by the volume of the solution in liters.
First, let's calculate the moles of LiBr using the given mass and its molar mass:
Molar mass of LiBr:
Li: 6.941 g/mol
Br: 79.904 g/mol
Molar mass of LiBr = 6.941 g/mol + 79.904 g/mol = \(86.845 g/mol\)
Moles of LiBr = \(Mass / Molar mass\)
Moles of LiBr = 97.7 g / 86.845 g/mol
Next, we need to convert the volume of the solution from milliliters to liters:
\(Volume of the solution = 1500.0 mL = 1500.0 mL / 1000 mL/L = 1.500 L\)
Now, we can calculate the molarity:
Molarity (M) = Moles of solute / Volume of solution (in liters)
Molarity = Moles of LiBr / Volume of solution
\(Molarity = (97.7 g / 86.845 g/mol) / 1.500 L\)
Calculating this, we find:
Molarity ≈ \(0.750 M\)
Therefore, the molarity of the solution formed by dissolving 97.7 g of LiBr in enough water to yield 1500.0 mL of solution is approximately 0.750 M.
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X. y
-6. -7
.1. 1
0. 9
3. -2
What is the domain of the given function?
(x|x = -6, -1, 0, 3}
(y|y) =-7.-2, 1, 9}
(x|x = -7, -6, -2.-1, 0, 1, 3, 9}
(y|y)= -7, -6, -2, -1, 0, 1, 3, 9}
Answer: Option (1)
Step-by-step explanation:
The domain is the set of input values, also known as the set of x-values.
Solve 5(2c - 3) =3 (3c - 5)
Answer:
c = 0
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5(2c−3)=3(3c−5)
(5)(2c)+(5)(−3)=(3)(3c)+(3)(−5)(Distribute)
10c+−15=9c+−15
10c−15=9c−15
Step 2: Subtract 9c from both sides.
10c−15−9c=9c−15−9c
c−15=−15
Step 3: Add 15 to both sides.
c−15+15=−15+15
c=0
question 2 please help me
Answer:
D. 0.682
Step-by-step explanation:
A box contains hair clips of 3 diff sizes. -15 small hair clips -12 medium hair clips -6 large hair clips
If one hair clip is randomly selected from the box,what is the probability that the hair clip will be either small or medium?
A)9/11
B)3/7
C)2/9
D)1/6
The answer of the given question based on probability is , option (A) 9/11.
What is Probability?Probability is measure of likelihood of event occurring. It is number between 0 and 1, where 0 means that event is impossible, and 1 means that event is certain to occur. The probability of event can be expressed as fraction, a decimal, or a percentage. For example, if the probability of an event is 1/4, it means that there is a 25% chance of the event occurring.
The total number of hair clips in the box is:
Total number of hair clips = 15 (small) + 12 (medium) + 6 (large) = 33
The probability of selecting a small or medium hair clip is the sum of the probabilities of selecting a small hair clip and a medium hair clip:
P(small or medium) = P(small) + P(medium)
The probability of selecting a small hair clip is:
P(small) = number of small hair clips / total number of hair clips
= 15 / 33
The probability of selecting a medium hair clip is:
P(medium) = number of medium hair clips / total number of hair clips
= 12 / 33
Therefore, the probability of selecting a small or medium hair clip is:
P(small or medium) = P(small) + P(medium)
= 15/33 + 12/33
= 27/33
= 9/11
So the answer is (A) 9/11.
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Which set of numbers is an example of an arithmetic sequence
a. 12, 19, 26, 33, 40
b. 1/3, 1/9, 1/15, 1/21, 1/27
c. -6, 18, - 54, 162
d. 1, 1, 2, 3, 5
An organized group of integers with a shared variance among each succeeding word is known as an arithmetic sequence. Hence, the right response is (b). 1/3, 1/9, 1/15, 1/21, 1/27.
Which collection of numbers doesn't fit the definition of an arithmetic sequence?
The following instances don't constitute arithmetic sequences: 1.) 2,4,8,16 is not true since the first with second terms differ by 2, while the third and fourth terms differ by 4, and the fifth and sixth terms differ by 8. There are no shared differences, hence the sequence is not arithmetic.
Is the number sequence 2 2 2 2 2 arithmetic?
The series cannot be an arithmetic sequence, however it may be defined. It does, nevertheless, have a common ratio across succeeding words, namely 1, which results in its geometric growth.
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Consider the addition of the dummy variables Class Midsize and Class Large to the simple linear regression model in part (a). The value of Class Midsize is 1 if the car is a midsize car and 0 otherwise; the value of Class Large is 1 if the car is a large car and 0 otherwise. Thus, for a compact car, the value of Class Midsize and the value of Class Large are both 0. Develop the estimated regression equation that can be used to predict the fuel efficiency for highway driving, given the engine's displacement and the dummy variables Class Midsize and Class Large.Let x1 represent engine's displacement.Let x2 represent variable Class Midsize.Let x3 represent variable Class Large.If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)= ____+______x1 +______x2 + ______ x3How much of the variation in the sample values of Hwy MPG does this estimated regression equation explain?If required, round your answer to one decimal places.____________ %
Estimated regressiοn equatiοn explains 70.8% οf the variatiοn in the sample values οf Hwy MPG. The required linear regressiοn mοdel is -
Y = 29.0360+(-1.6625) X1+ (4.4686) X2 + (1.8047) X3
What is the linear regressiοn?Linear regressiοn is a statistical methοd used tο analyze and mοdel the relatiοnship between a dependent variable (alsο called respοnse οr οutcοme variable) and οne οr mοre independent variables (alsο called predictοr οr explanatοry variables).
Withοut the dummy variables, the estimated regressiοn equatiοn fοr predicting fuel efficiency fοr highway driving based οn engine's displacement wοuld be:
Hwy MPG = 43.469 - 0.064x1
Tο incοrpοrate the dummy variables Class Midsize and Class Large, we need tο include them as additiοnal predictοrs in the mοdel. We can dο this by adding their cοefficients tο the equatiοn as fοllοws:
Hwy MPG = β0 + β1x1 + β2x2 + β3x3
where β0 is the intercept, β1 is the cοefficient fοr engine's displacement, β2 is the cοefficient fοr Class Midsize, and β3 is the cοefficient fοr Class Large.
We can find the values οf these cοefficients using multiple linear regressiοn analysis. Based οn the prοvided data, the regressiοn equatiοn becοmes:
Hwy MPG = 36.909 - 0.061x1 + 2.966x2 - 3.979x3
Therefοre, the estimated regressiοn equatiοn that can be used tο predict the fuel efficiency fοr highway driving, given the engine's displacement and the dummy variables Class Midsize and Class Large is:
Hwy MPG = 36.909 - 0.061x1 + 2.966x2 - 3.979x3
The cοefficient fοr Class Midsize is 2.966, which means that οn average, midsize cars have 2.966 higher highway MPG than cοmpact cars, hοlding engine's displacement and Class Large cοnstant. Similarly, the cοefficient fοr Class Large is -3.979, which means that οn average, large cars have 3.979 lοwer highway MPG than cοmpact cars, hοlding engine's displacement and Class Midsize cοnstant.
Tο determine hοw much οf the variatiοn in the sample values οf Hwy MPG this estimated regressiοn equatiοn explains, we can lοοk at the cοefficient οf determinatiοn (R-squared). R-squared is a measure οf the prοpοrtiοn οf the variance in the dependent variable (Hwy MPG) that is explained by the independent variables (engine's displacement, Class Midsize, and Class Large).
Sο, the required linear regressiοn mοdel is -
Y = 29.0360+(-1.6625) X1+ (4.4686) X2 + (1.8047) X3
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tell the number of decimal places that will be in the product
1. 6.3×0.75=___
2. 9.7×48.8=____
3. 5.96×62.15=___
4. 37.6×8.3=____
Answer:
3242Step-by-step explanation:
The number of decimal places in the product is the sum of the numbers of decimal places in the factors.
1. the factors have 1 and 2 decimal places, so the product will have 1+2 = 3 decimal places.
2. 1 + 1 = 2 decimal places in the product
3. 2 + 2 = 4 decimal places in the product
4. 1 + 1 = 2 decimal places in the product
_____
Additional comment
If the factor has m decimal places, the place value of its least-significant digit is 10^-m. Similarly, if the factor has n decimal places, the place value of its least-significant digit is 10^-n. When these numbers are multiplied, the place value of the least-significant digit of the product is (10^-m)(10^-n) = 10^-(m+n). That is, there will be m+n decimal places in the product.
Note that the product in problem 3 is 370.4140. That is, the least-significant digit of the product is zero. Many calculators will not show that zero, giving the (false) impression that the product has only 3 decimal places.
Answer:
4.725
2.473.6
3.370.414
5.312.08
Step-by-step explanation:
Find two fractions between 1/10 and 1/9.
Answer:
https://www.calculadoras.uno/calculadora-de-fracciones/Cuanto-es__1/10_dividido-entre__1/9_
Step-by-step explanation:
The difference between the two fractions exists 10/100 and 10/90.
What is meant by fraction?A figure that, when expressed mathematically, is expressed as a quotient where the numerator and denominator are split. In a simple fraction, both are integers. In a complex fraction, a fraction can be found in either the numerator or the denominator. A proper fraction has a numerator that is less than its denominator.
Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many parts of a particular size there are when spoken in everyday English.
The difference between the two (non-equal fractions), there are an endless number of fractions.
1/10 = 10/100 exists less than 1/9 = 10/90.
Therefore, the difference between the two fractions exists 10/100 and 10/90.
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you are about to buy a calculator for $10, and the sales-person tells you that the model you want to buy is on sale for $5 at the store’s other branch, which is a 20 minute drive away.
Answer:
The question is incompleye. Do elaborate?
the standard deviation of f$ ar{x},f$ is usually called the
The standard deviation of f$ ar{x},f$ is usually called the "sample standard deviation".
This is a commonly used statistical measure that represents the amount of variation or dispersion within a set of data. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean.
The sample standard deviation is often used to compare the variability of different sets of data and to determine the significance of differences between them. Financial contracts known as derivatives are those entered into by two or more parties and whose value is derived from an underlying asset,
collection of assets, or benchmark. A derivative may be traded over-the-counter or on an exchange. Derivative prices are based on changes in the underlying asset.
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Will mark brainliest! Determine whether the rectangles are similar. If so, write the similarity
ratio and a similarity statement.
A shop buys a pair of shoes for $50. They sell them for $60. What is the mark–up on the shoes?
Answer:
The markup for the shoes is 20 percent.
Step-by-step explanation:
Select the decimal that is equivalent to 2/3
Answer:
0.66666667 or 0.6
Step-by-step explanation:
if you put \(\frac{2}{3}\) in a calculator and convert it, it would display
0.6666 with infinite sixes.
you can also write it as:
0.6
ps ;; you would do this for any fraction, then round it.
Use Taylor's method of order two to approximate the solution for the following initial-value problem: y =1+(t − y)2, 2 ≤ t ≤ 3, y(2)
By using Taylor's method of order two, we can approximate the solution for the initial-value problem y = 1 + (t - y)\(^2\), 2 ≤ t ≤ 3, y(2).
How can we approximate the solution using Taylor's method of order two for the given initial-value problem?To approximate the solution for the given initial-value problem using Taylor's method of order two, we need to follow a step-by-step process. Let's break it down:
1. Identify the function and its derivatives
The initial-value problem is defined as: y = 1 + (t - y)\(^2\), 2 ≤ t ≤ 3, y(2). Here, y represents the unknown function, and t is the independent variable. We need to find an approximation for y within the given time interval.
2.Express the function as a Taylor series
Using Taylor's method, we express the function y as a Taylor series expansion. In this case, we'll use the second-order expansion, which involves the function's first and second derivatives:
y(t + h) ≈ y(t) + hy'(t) + (h\(^2\))/2 * y''(t)
3.Calculate the derivatives
Next, we need to calculate the first and second derivatives of y(t). Taking the derivatives of the given equation, we have:
y'(t) = -2(t - y)
y''(t) = -2
4. Substitute the derivatives into the Taylor series
Now, we substitute the derivatives we calculated into the Taylor series equation from Step 2:
y(t + h) ≈ y(t) + h * (-2(t - y)) + (h\(^2\))/2 * (-2)
Simplifying further:
y(t + h) ≈ y(t) - 2h(t - y) - hc\(^2\)
5. Set up the iteration process
To obtain an approximation, we iterate the formula from Step 4. Starting with the initial condition y(2) = ?, we substitute t = 2 and y = ? into the formula:
y(2 + h) ≈ y(2) - 2h(2 - y(2)) - h\(^2\)
6. Choose a step size and perform iterations
Choose a suitable step size, h, and perform the iterations. In this case, let's choose h = 0.1 and perform iterations from t = 2 to t = 3. We'll calculate the approximate values of y at each step using the formula from Step 5.
7. Perform the calculations and update the values
Starting with the initial condition, substitute the values into the formula and calculate the new approximations iteratively:
For t = 2:
y(2.1) ≈ y(2) - 2h(2 - y(2)) - h\(^2\)
For t = 2.1:
y(2.2) ≈ y(2.1) - 2h(2.1 - y(2.1)) - h\(^2\)
Repeat this process until you reach t = 3, updating the value of y at each iteration.
By following these steps, you can approximate the solution for the given initial-value problem using Taylor's method of order two. Remember to adjust the step size and number of iterations based on the desired accuracy of the approximation.
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carlos has a box of coins that he uses when playing poker with friends.the box currently contains 45 coins, consisting of pennies , dimes, and quarters.The number of pennies is equal to the number of dimes, and the total value is $3.84. How many of each denomination does he can?
Answer:
number of pennies = 19
number of dimes = 19
number of quarters = 45 - 2 × 19 = 45 - 38 = 7
Step-by-step explanation:
The total number of coins in the box is 45 . The coins consist of pennies, dimes and quarters.
The number of pennies is equal to the number of dimes. The remaining number is the quarters. Therefore,
number of pennies = a
number of dimes = a
number of dimes = 45 - 2a
1 dime = 0.1 dollars
1 penny = 0.01 dollars
1 quarters = 0.25 dollars
Thee total cost can be expressed as follows
3.84 = a(0.01) + a(0.1) + 0.25(45 - 2a)
3.84 = 0.01a + 0.1a + 11.25 - 0.5 a
3.84 = -0.39 a + 11.25
3.84 - 11.25 = -0.39 a
-7.41 = -0.39 a
divide both sides by -0.39
a = -7.41/-0.39
a = 19
number of pennies = 19
number of dimes = 19
number of quarters = 45 - 2 × 19 = 45 - 38 = 7
State the type of graph that is characteristic of velocity with depth
Graphs and functions are used to show relationships between variables.
The term "graph" as used in this question represents functions. There are several types of functions, some of them are:
LinearPowerQuadraticPolynomialThe question is incomplete, so I'll give a general explanation of how to identify the graph
Linear function:
This is represented by a straight line, and the equation is \(y = mx + b\)
Power function
This is when a variable is raised to the power of a fixed number. It is represented as: \(y = x^n\)
Quadratic Function
A quadratic function has the form: \(y = ax^2 + bx + c\)
Polynomial function
A polynomial function is a function where the exponents of the variable are non-negative. The form of a polynomial function is: \(y = ax^m + bx^{m-1} + cx^{m-2} + ........ + d\)
There are several other functions (sinusoidal, constant, inverse, rational functions, etc.)
Compare the missing graph of this question to the attached graphs (see attachment), to determine the graph type.
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4. Given: AGEO = AOMG
Prove: GEOM is a parallelogram
Statements
1. AGEO AOMG
2. 4EGO
4GOM, 4MGO 4GOE
3. GM || EO
GE || MO
4. GEOM is a parallelogram
"
2.
1. Given
3.
M
4.
G
Justifications
O
E
The table of the statements and justifications used to prove that the quadrilateral GEOM is a parallelogram can be completed as follows;
Statements \({}\) Justifications
1. \({}\)ΔGEO ≅ ΔOMG 1. Given
2. ∡EGO ≅ ∡GOM, ∡MGO ≅ ∡GOE \({}\) 2. CPCTC
3. \(\overline{GM}\)║ \(\overline{EO}\), \(\overline{GE}\) ║ \(\overline{MO}\) \({}\) 3. Converse of alt. int. ∠s Theorem
4. GEOM is a parallelogram\({}\) 4. Definition of a parallelogram
What is a parallelogram?A parallelogram is a quadrilateral that have opposite parallel sides.
The details of the justifications in the table used to prove that quadrilateral GEOM is a parallelogram are presented as follows;
CPCTC
CPCTC is an acronym for Corresponding Parts of Congruent Triangles are Congruent, which indicates that if teo triangles are congruent, then the corresponding sides and angles in both triangles are also congruent.
Converse of the alt. int ∠s theorem
The converse of the alternate interior angles theorem states that if the alternate interior angles formed by two lines and their common transversal are congruent, then the lines are parallel.
The angles ∡EGO, and ∡GOM are alternate interior angles, similarly, the angles ∡MGO and ∡GOE are alternate interior angle.
Whereby ∡EGO ≅ ∡GOM and ∡MGO ≅ ∡GOE, according to the convderse of the alternate interior angles theorem, the lines \(\overline{GE}\) is parallel to \(\overline{MO}\), and \(\overline{GM}\) is parallel to \(\overline{EO}\), \(\overline{GE}\) ║ \(\overline{MO}\), and \(\overline{GM}\) ║ \(\overline{EO}\)
Definition of a parallelogram
The definition of a parallelogram, indicates that, where \(\overline{GE}\) ║ \(\overline{MO}\), and \(\overline{GM}\) ║ \(\overline{EO}\), then the quadrilateral GEOM is a parallelogram.
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The largest prime factor of thirty-four is _____.
Answer:
17
Step-by-step explanation:
Greg has two coupons for a bicycle.
Coupon A: $19 rebate on a $81 bicycle
Coupon B: 20% off of a $81 bicycle
Choose the coupon that gives the lower price.
The price of Coupon A will be less than the price of Coupon B. Coupon A gives the lower price.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Greg has two coupons for a bicycle.
Coupon A: $19 rebate on an $81 bicycle. Then the price of a bicycle will be
⇒ $81 - $19
⇒ $62
Coupon B: 20% off of an $81 bicycle. Then the price of a bicycle will be
⇒ $81 x 0.80
⇒ $64.8
The price of Coupon A will be less than the price of Coupon B. Coupon A gives the lower price.
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Consider this exponential equation:
f(x) = 5(3)^x
Identify the following:
Domain
Range
Y-intercept
Step-by-step explanation:
F( x ) = 5 (3) ^ x
Y intercept
Let x = 0
f(0) = 5× 3 ^ 0
f(0 = 5 × 1
f(0) = 5
X intercept
let y = o
0 = 5 × 3 ^x
No x intercept/ zero
therefore
Vertical intercept (0; 5)
Domain XER
▪︎this refer to the values of X