Answer:
Below in bold.
Step-by-step explanation:
Starting height is when t = 0
It is 5 units.
To find the maximum height we convert the equation to vertex form:
h = -t^2 + 4t + 5
h = -(t^2 - 4t - 5)
= - [(t - 2)^2 - 9]
= -(t - 2)^2 + 9
From this we see that the ball reaches max height after 2.
Maximum height = -2^2 + 4(2) + 5
= 9 units.
Ball reaches the ground after 2*2 = 4 .
Which of the following equations represents the line graphed below?
4x - 3y = 6
А
B
4x + 3y = 6
С
4x - 3y = -6
D
4x + 3y = -6
Answer:
I think A not sure
Step-by-step explanation:
.... ...........
1. $350 at 5% for 4 years
Answer:
285 $
Step-by-step explanation:
350 * \(0.95^4\)
0.95 if the amount of money is going down if the amount of money is going up it will be 350 * 1.05^4
If it is decreasing subtract 5% from 100% and if its increasing add 5% to 100%.
Answer:
I around up: the anwer I got was 425.43
Step-by-step explanation:
Solve the inequality.
5w less than or equal to 15
Incorrect answer A. W <_ 75
Incorrect answer B. W <_ 10
Incorrect answer C. W >_ 5
Correct answer D. W >_ 3
Please can someone give me an explanation how I got the correct answer(D)!! My teacher needs my to show how I got D
The correct answer to the inequality "5w ≤ 15" is D. W ≥ 3.
To solve the inequality, we need to isolate the variable w. By dividing both sides of the inequality by 5, we obtain:
w ≤ 15/5
w ≤ 3
This means that w is less than or equal to 3. Therefore, answer choices A and B are incorrect since they suggest values greater than 3. Answer choice C is also incorrect as it indicates values greater than or equal to 5, which is not consistent with the original inequality.
The correct answer is D. W ≥ 3, which indicates that w must be greater than or equal to 3 for the inequality to hold true.
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in a simple linear regression model, which of the coefficients in the estimated sample regression equation indicates the change in the predicted value of y when x increases by one unit?
In a simple linear regression model, the coefficient of the independent variable (x) in the estimated sample regression equation indicates the change in the predicted value of the dependent variable (y) when x increases by one unit. This coefficient is also known as the slope of the regression line. Therefore, to calculate the predicted value of y, we multiply the coefficient by the value of x and add the intercept.
In a simple linear regression model, the coefficient that indicates the change in the predicted value of y when x increases by one unit is the "slope coefficient" or the "regression coefficient" (usually denoted as b1). This coefficient represents the relationship between the independent variable x and the dependent variable y.
The linear regression equation is given as:
y = b0 + b1 * x
Where:
- y is the predicted value of the dependent variable
- b0 is the intercept coefficient (where the line intersects the y-axis)
- b1 is the slope coefficient (the change in y when x increases by one unit)
- x is the independent variable
In this equation, b1 indicates the change in the predicted value of y when x increases by one unit.
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The coordinants of point T are (0,4). The midpoint of ST is (2,-3). Find the coordinants of point S
Answer:
(2,7)
Step-by-step explanation:
source: trust me bro
Based on the scatterplot, what is the best prediction of the foot length for a person who has a head diameter of 54 centimeters?
Answer:
its kinda hard to see, sorry, im guessing its 30
Given that f(x) = 4x + 5 and g(x) = x2 - 2x - 2, find (f + g)(x).
A) (f + g)(x) = x2 + 2x+3
B) (f + g)(x) = x2 + 6x+ 3
C) (f + g)(x) = -x2 + 6x + 7
D) (f + g)(x) = – x2 + 2x - 7
Answer:
A
Step-by-step explanation:
We are given the two functions:
\(f(x)=4x+5\text{ and } g(x)=x^2-2x-2\)
And we want to find:
\((f+g)(x)\)
This is equivalent to:
\(=f(x)+g(x)\)
Substitute:
\(=(4x+5)+(x^2-2x-2)\)
Rearrange:
\(=(x^2)+(4x-2x)+(5-2)\)
Combine like terms. Hence:
\((f+g)(x)=x^2+2x+3\)
Our answer is A.
16. Jamal keeps a log every day on the daily number of steps he walks. He wants to find the typical amount of steps he walks daily. What type of data display should Jamal use to display the data? Explain.
Daily steps : 3500 , 4500 , 2000 , 2500 , 5000 , 5250 , 9000
Bar chart to display the data of number of steps of Jamal is attached below.
What is bar chart?A bar chart is a chart that displays complete data in rectangular bars, with the height of the bars proportional to the values they represent. Chart bars can be displayed vertically or horizontally. A bar chart, also called a bar graph, is a graphical representation of grouped data. It is a method of data processing. Bar charts are great for displaying data independent of each other and do not need to be in any particular order when displayed.
Given data,
Jamal keeps a log every day on the daily number of steps he walks.
Daily steps:
3500 , 4500 , 2000 , 2500 , 5000 , 5250 , 9000
the number of steps is independent to the number of days, it can be graphed as a bar chart.
the bar graph can be drawn as following:
Hence, the data can be displayed as a bar chart attached below.
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if you write this number in standard notation (or decimal notation), how many zeros would you include? 8.47 x 1012
In standard or decimal notation, the number 8.47 x 10^12 is written as 847 x 10^10. So there are 10 zeroes included in the standard or decimal notation of 8.47 x 10^12.
To convert from scientific notation to standard notation, we move the decimal point to the right or left by the number of places specified by the exponent . The exponent tells us how many places the decimal point should be moved.
The number 8.47 x 10^12 is written in scientific notation. In scientific notation, a number is expressed as a product of a coefficient and a power of 10. The coefficient is 8.47 in this case, and the power of 10 is 12.
The power of 10 indicates the number of zeros that are included in the number. In this case, 10^12 means 10 multiplied by itself 12 times, which is equal to 10,000,000,000,000.
Therefore, the number 8.47 x 10^12 is equal to 8.47 x 10,000,000,000,000.
= 847 x 10^10
So there are 10 zeroes included in the standard or decimal notation of 8.47 x 10^12.
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A company makes a profit of $1.38 million. This is $2.54 million more than last year. Write and solve an equation to find the profit p (in millions of dollars) last year. An equation is =1.38.
Answer: Required equation : 1.38 = p +2.54
Last year profit = $ -1.16 million or we can say loss =$ 1.15 million
Step-by-step explanation:
Given : A company makes a profit of $1.38 million. This is $2.54 million more than last year.
Profit this year = 2.54 + Profit in last year
Let p = profit (in millions of dollars) last year.
Then, 1.38 = p +2.54 , is the required equation.
⇒ p = 1.38-2.54
⇒ p= -1.16, which is loss because of negative sign.
Hence, last year profit = $ -1.16 million or we can say loss =$ 1.15 million
Answer: The profit from 2021 = $ -1.16 Million ($1.16 Million loss)
Step-by-step explanation:
Profit for 2022 = $ 1.38 Million
Profit for 2021 = Profit for 2022 - $ 2.54 Million
Algebraic equation:
p2021 = p2022 -$ 2.54 Million
p2021 = $ 1.38 Million - $ 2.54 Million
p2021 = $ -1.16 Million
Triangle ABC will be dilated with a scale factor of 2, centered at the origin. What will be the resulting coordinate of B'?
(look at pic below for graph)
answer options:
A) (4,6)
B) (4,12)
C) (-4,-12)
D) (2,12)
pls answer asap
Triangle ABC will be dilated with a scale factor of 2, centered at the origin. What will be the resulting coordinate of B' will be (4,12).
What is a triangle?A polygon with three sides and three vertices is called a triangle. It is one of the fundamental geometric forms. Triangle ABC is the designation for a triangle with points A, B, and C. In Euclidean mathematics, any three points that are not collinear produce a distinct triangle and a distinct plane.
What are coordinates?A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more integers, or coordinates. The order of the coordinates is important, and they are sometimes identified by their position in an ordered tuple and sometimes by a letter, as in "the x-coordinate". In elementary mathematics, the coordinates are assumed to be real numbers. Analytic geometry is based on the use of a coordinate system, which enables issues with geometry to be converted into problems with numbers and vice versa.
Triangle ABC will be dilated with a scale factor of 2, centered at the origin.
Coordinates of B are (2,6).
When the triangle is dilated, we multiply the coordinates by 2.
hence, B'(4,12)
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Please help I will give you brainliest put the right answer.
Answer:
The answer is 104
Step-by-step explanation:
I’m guessing the shape is a triangle so if you have to angels you add them up and minus then from 180 what you get is your missing angle.
james rents a photocopier from a company that charges $20 each month plus $0.02 for each copy
Step-by-step explanation:
What is the question exactly?
8x10-3 is how many times as great as 4x10-6
Answer:
Step-by-step explanation:
2.3, rounded
The monomial of the 2nd degree with a coeficcient of 3
Anyone know how to do this I need help please
Answer:
D
Step-by-step explanation:
mono means one so there must only be one term, the number in front of the variable is the coefficient, n being squared makes it to the second degree
Given that the equation ax³+4x²-5x-10=0 and ax³-9x-2=0 have a common root.What are the possible values of a?
Step-by-step explanation:
Let r be the common root of the given equations.
Then we have:
ar³ + 4r² - 5r - 10 = 0 ...(1)
and
ar³ - 9r - 2 = 0 ... (2)
Subtracting equation (2) from equation (1), we get:
13r² - 3r - 8a = 0
Solving for r using quadratic formula, we get:
r = [3 ± sqrt(9 + 52a)]/26
For r to be a real number, the discriminant of the quadratic expression inside the square root must be non-negative:
9 + 52a ≥ 0
Solving for a, we get:
a ≥ -9/52
Therefore, the possible values of a are all real numbers greater than or equal to -9/52.
Patty are is. 3 times audreys age plus 7. Party is 37. What is audreys age?
Answer:
19
Step-by-step explanation:
37/3= 12. something
12+7+19
I need help plss on this
Answer:
4 (8) - 3 x 81 is equivalent
Step-by-step explanation:
4 (3 + 5) - 3 x \(9^{2}\)
4 (8) - 3 x 81
32 - 3 x 81
31 - 243
-212
Law of sines: startfraction sine (uppercase a) over a endfraction = startfraction sine (uppercase b) over b endfraction = startfraction sine (uppercase c) over c endfraction 2.2 units 2.4 units 3.0 units 3.3 units
The possible approximate lengths of b are: 2.3 units and 7.8 units
We know that the law of sines for triangle is:
The ratios of the length of all sides of a triangle to the sine of the respective opposite angles are in proportion.
This means, for triangle ABC,
\(\frac{sin~ A}{a} =\frac{sin~B}{b} =\frac{sin~ C}{c}\)
where a is the length of side BC,
b is the length of side AC,
c is the length of side AB.
For triangle ABC consider an equation from sine law,
\(\frac{sin~ A}{a} =\frac{sin~ C}{c}\)
here, c = 5.4, a = 3.3, and m∠A = 20°
\(\frac{sin~ 20}{3.3} =\frac{sin~ C}{5.4}\\\\\frac{0.3420}{3.3} =\frac{sin~ C}{5.4}\)
0.3420 × 5.4 = 3.3 × sin(C)
sin(C) = 0.5596
∠C = arcsin(0.5596)
∠C = 34.03° OR 145.9°
∠C ≈ 34° OR 146°
We know that the sum of all angles of triangle is 180 degrees.
so, ∠A + ∠B + ∠C = 180°
when m∠C = 34°,
20° + ∠B + 34.03° = 180°
∠B = 125.97°
m∠B = 126°
when m∠C = 146°,
20° + ∠B + 146° = 180°
m∠B = 14°
Now consider equation,
\(\frac{sin~ A}{a} =\frac{sin~ B}{b}\\\\\frac{sin~20^{\circ}}{3.3} =\frac{sin~ 126^{\circ}}{b}\)
b × 0.3420 = 0.8090 × 3.3
b = 7.8 units
when m∠B = 14°,
\(\frac{sin~20^{\circ}}{3.3} =\frac{sin~ 14^{\circ}}{b}\)
b × 0.3420 = 0.2419 × 3.3
b = 2.3 units
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The complete question is:
Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction
In ΔABC, c = 5.4, a = 3.3, and measure of angle A = 20 degrees. What are the possible approximate lengths of b? Use the law of sines to find the answer.
2.0 units and 4.6 units
2.1 units and 8.7 units
2.3 units and 7.8 units
2.6 units and 6.6 units
select from the drop - down menus to correctly complete each statement
in a flowchart proof, _____ and ______ are connected with arrows ?
In a flowchart proof, statements and conclusions are connected with arrows.
In terms of mathematics, a statement is simply any sentence in which it can be verifiably true or false. A statement cannot be a subjective opinion. It must be an objective fact and there must not be any ambiguity involved. A conclusion is also a statement that derives from the first statement made.
As an example, you can have the simple argument "if it rains, then it gets wet outside". So the box on the left would be "it rains" and the box on the right would be "it gets wet outside". An arrow connecting the two shows the logical flow of how the argument is set up.
See the diagram below.
Side note: the box on the left is also considered the antecedent because it comes before the conclusion.
find each value of k for which the lines y=9kx-1 and kx 4y=12 are perpendicular
The value of k in the equations is 2/3
How to determine the value of kFrom the question, we have the following parameters that can be used in our computation:
y = 9kx - 1
kx + 4y = 12
This can be expressed as
y = 9kx - 1
y = -kx/4 + 3
The slopes of perpendicular lines are opposite reciprocal
This means that
9k * -k/4 = -1
So, we have
k^2 = 4/9
Evaluate
k = 2/3
Hence, the value of k is 2/3
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{x - 2y + 4z = 4 -5x + 9y - 22z = -16 -2x + 3y - 10z = k In order for the system of equations above to be a consistent system, k must be equal to
In order for the system of equations to be a consistent system, the value of k must be equal to -4.
To determine the value of k that makes the system of equations consistent, we can use the method of elimination or substitution. Let's use the method of elimination.
First, we can multiply the first equation by 5, the second equation by -1, and the third equation by 2 to make the coefficients of x in the three equations cancel each other out when added together.
The modified system of equations becomes:
5x - 10y + 20z = 20
5x - 9y + 22z = 16
-4x + 6y - 20z = 2k
Now, let's subtract the first equation from the second equation:
(5x - 9y + 22z) - (5x - 10y + 20z) = 16 - 20
y + 2z = -4
Next, let's add this equation to the third equation:
(-4x + 6y - 20z) + (y + 2z) = 2k - 4
-4x + 7y - 18z = 2k - 4
For the system of equations to be consistent, there must be no contradictions or inconsistencies. This means that the equations must be linearly dependent, and the last equation must be a multiple of the second equation.
Comparing the last equation (-4x + 7y - 18z = 2k - 4) with the second equation (y + 2z = -4), we can see that the two equations will be dependent and consistent if 2k - 4 is equal to 0.
2k - 4 = 0
2k = 4
k = 2
Therefore, in order for the system of equations to be a consistent system, the value of k must be equal to -4.
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Value ofc -x^2+3x+c=0
Answer:
they are the values of the 3 coefficients.
Step-by-step explanation:
Airplanes are sometimes used to fight fires . A certain airplane can deliver 3.9 * 10^4 liters of water in one trip . How much water can this airplane reliever in 7 trips
Write in scientific notation !!!!!!
Answer:
just do 3.9*10000=39000
Step-by-step explanation:
Answer:
2.73 x 10^5
Step-by-step explanation: hope this helps somone :)
Help pls I put in a photo
Answer:
m∠D = 49°
m∠E = 41°
m∠F = 90°
Step-by-step explanation:
We know a triangle's angles add up to 180, so we can create an equation and solve for x. We also know the little box represents 90 degrees.
Given:
90° + 5x° + 14° + 3x° + 20° = 180°
Combine like terms:
8x° + 124° = 180°
Subtract 124 from both sides of the equation:
8x° = 56°
Divide both sides of the equation by 8:
x = 7
Now, we will plug this value of x back into the angles to solve. Again, the little box represents that Angle F is equal to 90 degrees.
m∠D = 5x° + 14° = 5(7)° + 14° = 49°
m∠E = 3x° + 20° = 3(7)° + 20° = 41°
m∠F = 90°
Draw the graph of y = 3 - 1/2x
Answer:
Answer attached
Step-by-step explanation:
The graph for the line is attached below.
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.
Usually, data that varies over time is represented with a line graph.
Given:
y = 3 - 1/2x
Now, let us find the point to plot on the graph.
So, take x= 0
y= 3
and, take x= 2
y= 3- 1
y= 2
and, take x = 6
y = 3 - 3
y= 0
Thus, the points are (0, 3), (2 , 2) and (6,0).
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The circumference of a circle is 27.475 inches. What is the circle's radius?
Answer:
4.37
Step-by-step explanation:
the formula is c/2x3.14=R
27.475/(2x3.14)=4.37
Dingane has been observing a certain stock for the last few years and he sees that it can be modeled as a function s(t)s, left parenthesis, t, right parenthesis of time t (in days) using a sinusoidal expression of the form a\cdot\sin(b\cdot t) da⋅sin(b⋅t) da, dot, sine, left parenthesis, b, dot, t, right parenthesis, plus, d. on day t=0t, equals, 0, the stock is at its average value of {\$}$3.47dollar sign, but 91.25 days later, its value is down to its minimum of \$1.97dollar sign. Find S(t) left parenthesis, t, right parenthesis. \textit{t}tstart text, t, end text should be in radians.
The cosine wave, which is also a sine wave with a phase-shift of π/2 radians, is hence sometimes referred to as being sinusoidal. The average value at 0 day exists 3.47.
What is meant by sinusoidal expression?Any wave that exhibits sine wave properties is referred to as a sinusoid. The cosine wave, which is also a sine wave with a phase-shift of π/2 radians, is hence sometimes referred to as being sinusoidal. The cosine function and sine function are frequently referred to as leading or lagging each other due to this advantage.
A sine function-like curve that may have been phased, periodically shifted, ampliative shifted, or any combination of these.
with t at 91.25 days, the value is down it minimum = 1.97
Let d - a = 1.97
simplifying the above equation, we get
a = d - 1.97
= 3.47 - 1.97
a = 1.5
t = 91.25
bt = 3π/2
b= 1.5π/t
substitute the value of t in the above equation, we get
b = 1.5π/91.25
simplifying the above equation, we get
b = π/60.83
S(t) = 1.5 sin(πt/60.83) + 3.47
Therefore, the correct answer is d = 3.47.
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Classify the quadric surface. 4x2 - y2 - z2 = 1 a. hyperbolic paraboloid b. elliptic cone c. Hyperboloid of two sheets d. hyperboloid of one sheet e. ellipsoid
The given equation (4x² - y² - z² = 1) is classified under Hyperboloid of two sheets.
What is Hyperboloid equation?
When a hyperbola is rotated around one of its axes, an open surface is created that is known as a hyperboloid. The surface's general equation is written as (x²/ a²) + (y² / b²) - (z² / c²) = 1
if the surface's transverse axis is along the x axis, its centre is at the origin, and a, b, and c are its primary semi-axes.
As per question given that,
here is the equation of the quadratic surface is,
4x² - y² - z² = 1
Thus surface is a hyperboloid of two sheets.
The sketch of this quadratic surface is the sketch in the 2nd option which is shown below.
i.e. in the upper right corner.
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Here are some characteristics of two portfolios, the market index, and the risk-free asset.
Expected Return Beta Standard Deviation
Portfolio A 11% 0.8 10%
Portfolio B 14% 1.5 31%
Market index 12% 1 20%
T-bills 6% 0 0%
Required:
a. Calculate the return predicted by CAPM for a portfolio with a beta of 0.8.
b. Calculate the return predicted by CAPM for a portfolio with a beta of 1.5.
The return predicted by CAPM for a portfolio with a beta of 0.8 is 10.8%, and the return predicted by CAPM for a portfolio with a beta of 1.5 is 15%.
The Capital Asset Pricing Model (CAPM) is a financial model that predicts what the return on an asset should be based on its expected risk and return. CAPM allows investors to calculate the expected return on a portfolio of stocks given its systematic risk.To answer this question, we need to know that the CAPM formula is:CAPM = Risk-free rate + (Beta x Market risk premium) where Beta = the systematic risk of the portfolio (measured by the beta coefficient), and the Market risk premium = (Market return - Risk-free rate).
Here are the characteristics of two portfolios, the market index, and the risk-free asset.Portfolio A:Expected Return = 11%Beta = 0.8Standard Deviation = 10%Portfolio B:Expected Return = 14%Beta = 1.5Standard Deviation = 31%Market index:Expected Return = 12%Beta = 1Standard Deviation = 20%T-bills:Expected Return = 6%Beta = 0Standard Deviation = 0%.
We can now calculate the return predicted by CAPM for a portfolio with a beta of 0.8 (Portfolio A). CAPM = Risk-free rate + (Beta x Market risk premium)Market risk premium = Market return - Risk-free rate = 12% - 6% = 6%CAPM = 6% + (0.8 x 6%) = 10.8%Therefore, the return predicted by CAPM for a portfolio with a beta of 0.8 is 10.8%.
We can also calculate the return predicted by CAPM for a portfolio with a beta of 1.5 (Portfolio B). CAPM = Risk-free rate + (Beta x Market risk premium)Market risk premium = Market return - Risk-free rate = 12% - 6% = 6%CAPM = 6% + (1.5 x 6%) = 15%Therefore, the return predicted by CAPM for a portfolio with a beta of 1.5 is 15%.In conclusion, the return predicted by CAPM for a portfolio with a beta of 0.8 is 10.8%, and the return predicted by CAPM for a portfolio with a beta of 1.5 is 15%.
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