The path of a baseball after it has been hit is modeled by the function h = – 0. 32d2 + d + 3, where h is the height in feet of the baseball and d is the distance in feet the baseball is from home plate. What is the maximum height reached by the baseball, round your answer to the nearest hundredths? (Hint: Find the y-coordinate of the equation. )

Answers

Answer 1

The maximum height reached by the baseball is approximately 7.66 feet.

The maximum height reached by the baseball can be found by determining the vertex of the function h = -0.32d^2 + d + 3.

The vertex of a quadratic function in the form f(x) = ax^2 + bx + c can be found using the formula x = -b/2a. In this case, a = -0.32 and b = 1.

To find the maximum height, we need to find the y-coordinate of the vertex, which corresponds to the height (h) in this problem.

Using the formula x = -b/2a, we can calculate the x-coordinate of the vertex:

d = -1/(2 * (-0.32))

d ≈ 1.5625

To find the corresponding height, we substitute this value back into the function:

h = -0.32(1.5625)^2 + 1.5625 + 3

h ≈ 3.09375 + 1.5625 + 3

h ≈ 7.65625

Rounding this value to the nearest hundredths, the maximum height reached by the baseball is approximately 7.66 feet.

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Related Questions

A rocket is launched into the air. The height h(t), in yards, of the rocket is a function of time, t, in seconds, as shown in the following table.

What is the rocket's average rate of change from 3≤t≤6 in yards/second?
Enter your answer as a number, like this: 42

A rocket is launched into the air. The height h(t), in yards, of the rocket is a function of time, t,

Answers

Answer:

From 3 to 6 seconds, the rocket is falling 11 yards per second.

Step-by-step explanation:

Normal pace of progress is exactly the same thing as the slant. Since this is explanatory, we can't track down the specific pace of progress as we could if this were a straight capacity. Be that as it may, we can utilize a similar thought. At the point when t = 3, h(t) = 33, so the organize point is (3, 33). At the point when t = 6, h(t) = 0, so the facilitate is (6, 0). Attachment those qualities into the incline recipe:  

m= 0-33/6-3 and m=-33/3 which is 11  

From 3 to 6 seconds, the rocket is falling 11 yards each second.

Brainliest?

From a random sample of 43 business​ days, the mean closing price of a certain stock was $112.15. Assume the population standard deviation is ​$9.95. The​ 90% confidence interval is (Round to two decimal places as​ needed.) The​ 95% confidence interval is ​(Round to two decimal places as​ needed.) Which interval is​ wider?

A. You can be​ 90% confident that the population mean price of the stock is outside the bounds of the​ 90% confidence​ interval, and​ 95% confident for the​ 95% interval.
B. You can be certain that the population mean price of the stock is either between the lower bounds of the​ 90% and​ 95% confidence intervals or the upper bounds of the​ 90% and​ 95% confidence intervals.
C. You can be​ 90% confident that the population mean price of the stock is between the bounds of the​ 90% confidence​ interval, and​ 95% confident for the​ 95% interval.
D. You can be certain that the closing price of the stock was within the​ 90% confidence interval for approximately 39 of the 43 days, and was within the​ 95% confidence interval for approximately 41 of the 43 days

Answers

You can be​ 90% confident that the population mean price of the stock is between the bounds of the​ 90% confidence​ interval, and​ 95% confident for the​ 95% interval.

Given data ,

The problem states that a random sample of 43 business days was taken, and the mean closing price of the stock in that sample was $112.15. The population standard deviation is assumed to be $9.95. Based on this information, a confidence interval can be calculated for the population mean.

Now , A wider interval results from a greater confidence level since it calls for more assurance.

If you compare the offered alternatives, option C accurately indicates that you can have a 90% confidence interval for the population mean price of the stock being inside the boundaries, and a 95% confidence interval. Because a 90% confidence interval demands more assurance than a 95% confidence interval, it is smaller. As a result, the population mean is more likely to fall inside the 90% confidence interval's boundaries.

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K \( \$ \) (type integers or decimais Round 4 three 6ecimar piaces as needed.) b. Wiortect tie rieriul ochstrocted in part (a). Chobse the corced arisari teliow, propoles wojld you turrey?

Answers

Based on the 99% confidence interval (-0.061 to 0.100), there is no significant evidence to suggest a difference between the two population proportions. Therefore, we fail to reject the null hypothesis.

In part (a), we obtained a 99% confidence interval for the difference between two population proportions, p1 - p2, as -0.061 to 0.100. This means that with 99% confidence, we estimate that the true difference between the proportions falls within this interval.

To determine whether there is a significant difference between the proportions, we check if the interval includes zero. If zero is within the interval, it suggests that the difference is not statistically significant. In this case, since zero is within the interval (-0.061 to 0.100), we conclude that there is no significant evidence to suggest a difference between the two population proportions.

Therefore, based on the given confidence interval, we would fail to reject the null hypothesis, which states that the difference between the proportions is zero. In practical terms, this means that we do not have enough evidence to claim that the two proposed proportions are significantly different from each other.

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Factor 12+54. Write your answer in the form a(b+c) where a is the GCF of 12 and 54

Answers

For the answer of factors of expression (12 + 54), in the form of a(b + c), where a is the GCF of 12 and 54 is equals to 6( 2 + 9).

In math, to factor a number means to express it as a product of (other) whole numbers, called its factors. For example, if 7x5 = 35, 7 and 5 are both factors. The divisors that give the remainder to be 0 are the factors of the number. We have an expression of numbers, 12 + 54. We have to write this expression in form of a( b + c), where a is GCF of 12 and 54. Now, we can write the factors of 12 and 54 are 12 = 2×2×3

54 = 2×3 ×3×3

The greatest common factor, GCF of 12 and 54 is 2×3 = 6. So, 12 + 54 = 6× 2 + 6×9

Taking out the common factor 6 from above expression, 6( 2 + 9) which is required form a( b + c). Hence, required expression is 6( 2 + 9).

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can someone do this quick! I need the volume!!​

can someone do this quick! I need the volume!!

Answers

Answer:

1125000

Step-by-step explanation:

just multiply them all

Answer:

i believe it should               be 1125000

Step-by-step explanation:

Min's family needs to rent a care for 14 days. Renting by the day costs $55. They also have option to rent the car for a fixed 2-week rate of $715. Should they choose the daily rate or the 2-week rate? Explain. How much do they pay.

Answers

Answer:  $20020 o and con you thank me no one has thanked me

Step-by-step explanation:

1... 2(9n-1)+7(n+6)=-60
2... 11(4-6y)+5(13y+1)=9

Answers

Step-by-step explanation:

2(9n-1)+7(n+6)=-60

18n - 9 + 7n + 42 = -60

25n + 33 = -60

25n = -93

n = -3.72

11(4-6y)+5(13y+1)=9

44 - 66y + 65y + 5 = 9

-y + 49 = 9

-y = -40

y = 40

Answer:

Hello! I hope I’m correct!! :)

1. n = -4

2. y = 40

Step-by-step explanation:

Steps for the first equation.

Step #1. {we are solving for “2(9n-1)+7(n+6)=-60”}

\(18n-2+7n+42=-60\)

Step #2. Simplify.

\(25n+40=-60\)

Step #3. Subtract 40 {from both sides}

\(25n=-60-40\)

Step #4. Simplify.

\(25n=-100\)

Step #5. Divide both of the sides by 25. Which will be:

\(-\frac{100}{25}\)

Step #6. Now divide (simplify) 100 & 25 which will give you the answer.

\(n=-4\)

So for the first equation the answer is n = -4

______________________________________

Now let’s solve the second equation.

Step #1. Expand

\(-y+49=9\)

Step #2. Subtract 49 from both sides.

\(-y+49-49=9-49\)

Step #3. Simplify.

\(-y=-40\)

Step #4. Divide both sides by -1.

\(-40/-1\)

Step #5. Simplify.

\(y=40\)

And your answer to the second equation would be y = 40

Sorry if this is incorrect but I hope this helps! If you have any questions about this, feel free to ask! Have a wonderful day! (≧∇≦)

~By, BrainlyAnime~ <3

( use elimination) on 3x+5y=12 and x-3y=4

Answers

Answer:

x=4 y=0

Step-by-step explanation:

3x+5y=12

-(x-3y=4)

3x+5y=12

3(-x+3y=-4)

3x+5y=12

-3x+9y=-12

14y=0

y=0

Then, substitute the y into the equation to find x

x-3(0)=4

x=4

Compare these two fractions: 3/10 and 4/5*03/10 > 4154/5>3/10О4/5 = 3/10

Answers

\(\begin{gathered} \text{Change the given fraction into decimal,so} \\ \frac{3}{10}\Rightarrow0.3 \\ \frac{4}{5}\Rightarrow0.8 \\ So,\text{ the }\frac{4}{5}>\frac{3}{10} \end{gathered}\)

How many nontraditional credit references are r

Answers

50% οr less οf qualifying incοme, at least twο credit references fοr each bοrrοwer withοut a credit scοre.

How is non-traditional credit calculated?

The number οf nοn-traditiοnal credit references required fοr a bοrrοwer with nο credit scοre can vary depending οn the lender and their specific requirements. Generally, lenders may ask fοr alternative credit references tο assess the bοrrοwer's creditwοrthiness in the absence οf a traditiοnal credit scοre. These alternative references cοuld include:

Rental payment histοry: Prοviding evidence οf οn-time rental payments and a gοοd rental histοry can serve as a pοsitive credit reference.

Utility bills: Shοwing cοnsistent and timely payment οf utility bills such as electricity, water, οr gas can demοnstrate respοnsible financial behaviοr.

Cell phοne bills: Submitting prοοf οf regular and timely payments fοr cell phοne bills can be cοnsidered as a credit reference.

Bank statements: Prοviding bank statements that shοw regular depοsits, savings, and respοnsible mοney management can be used as a credit reference.

Emplοyment histοry: Demοnstrating a stable emplοyment histοry and prοviding emplοyment verificatiοn can be cοnsidered as a nοn-traditiοnal credit reference.

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Complete question:

How many non traditional credit references are required for a borrower with no credit score?

12 more than the product of 3 and 9

Answers

Answer:

102

Step-by-step explanation:

because the product of 3 is 9 and the product of 9 is 81 so 81+9= 90 90+12=102

Identify the coordinates of the point (3,-2), translated 5 units left and 6
units up.
(2,-4)
(-2,-8)
(8,4)
(-2,4)
>
Sign out
US 10:2

Answers

Answer:

(- 2, 4 )

Step-by-step explanation:

A translation of 5 units left means subtract 5 from the original x- coordinate.

A translation of 6 units up means add 6 to the original y- coordinate.

Thus

(3, - 2 ) → (3- 5, - 2 + 6 ) → (- 2, 4 )

The coordinates of the point (3,-2), translated 5 units left and 6

units up are (-2, 4) option (D) (-2, 4) is correct.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that:

The point (3,-2), translated 5 units left and 6 units up.

A 5-unit left translation entails taking 5 away from the initial x-coordinate.

A translation of six units upwards entails multiplying the initial y-coordinate by six.

After applying the translation:

(3, -2) → (3- 5, - 2 + 6) → (-2, 4)

Thus, the coordinates of the point (3,-2), translated 5 units left and 6

units up are (-2, 4) option (D) (-2, 4) is correct.

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Find the distance between the points
(9,-7) and
(5,-4).


25
5
V137
V7

Answers

Answer:

5

Step-by-step explanation:

5 is the 100% correct answer.....Hopes to get BRAINLIEST.....

Thank you ☺️☺️

Calvin works at a facility which processes apples. It costs the facility $0. 68 to make either a jar of applesauce or a bottle of apple juice. Due to the nature of the process and contractual agreements, Calvin’s facility must make and sell three jars of applesauce for every two bottles of apple juice. A jar of applesauce sells for $2. 20, and a bottle of apple juice sells for $3. 15. If the facility has annual overhead costs of $368,500, not including production costs, how many bottles of apple juice will the facility have sold when it breaks even every year? Round to the nearest whole bottle, if necessary. A. 38,789 b. 77,579 c. 116,368 d. 167,500.

Answers

The number of bottles the facility requires to sell when it breaks is given by

a system of two simultaneous equations.

When the facility breaks even, it would have sold 77,579 bottles of apples juice.

Reasons:

The cost to make a jar of applesauce or a bottle of apple juice = $0.68

Number of jars of applesauce to be sold foe every 2 bottles of apple juice = 3 jars

The selling price for a jar of applesauce = $2.20

Selling price for a bottle of apple juice = $3.15

Annual overhead cost excluding production cost = $368,500

Required: Number of bottles of apple juice sold by the facility when it breaks even annually.

Solution:

Let J represent the number of bottles of apple juice sold, and let S represent the number of jars of apple sauce, by excluding the production cost, we have;

(3.15 - 0.68)·J + (2.2 - 0.68)·S = 368,500

S : J = 3 : 2

Which gives;

\(\displaystyle \frac{S}{J} = \mathbf{ \frac{3}{2}}\)

\(\displaystyle S= \frac{3}{2} \cdot J\)

Therefore;

\(\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot S = (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{368,500}\)

Which gives;

\(\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{ \frac{19 \cdot J }{4} } = 368,500\)

\(\displaystyle J = \frac{368,500 \times 4}{19} = \frac{1474000}{19}=77578\frac{18}{19} \approx 77,579\)

The number of bottles of apple juice sold, J ≈ 77,579 bottles

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If a Polyhedron had 58 edges and the same Number of faces as its Vertices , How many faces does it have?

Answers

Answer: 30

Step-by-step explanation:

Given

Polyhedron has (E)58 edges

It has same number of faces and vertices

Using Euler's formula

\(\Rightarrow V-E+F=2\)

where

V=no of vertices

E=no of edges

F=no of edges

Suppose there are x faces

Insert the values

\(\Rightarrow x-58+x=2\\\Rightarrow 2x=60\\\Rightarrow x=30\)

Thus, polyhedron has 30 faces.

Answer:

30

Step-by-step explanation:

If a Polyhedron had 58 edges and the same Number of faces as its Vertices , How many faces does it have?

is anyone expert here in data forecasting methods? I need some help in some topics like time series(holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series. please reply if you can help me with these topics

Answers

Yes, there are experts here in data forecasting methods who can help you with the topics you've mentioned including time series (holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series.

Below are brief explanations of each of these terms:

Time Series: A time series is a sequence of observations of a particular quantity measured over time. Holts Method: The Holt’s method is a forecasting method that forecasts the data by taking into account the trend component along with the level component. Holts Winter Method: Holt's winter model is used to forecast seasonal univariate time series.Naive Method: The naive method is a forecasting method that uses the most recent observation as a forecast for the next time period.Regression: Regression is a statistical method used to estimate the strength and direction of the relationship between two or more variables.ACF & PACF: Autocorrelation function (ACF) and partial autocorrelation function (PACF) are statistical tools used to determine the nature of the correlation between a variable and its lag.ARIMA: ARIMA stands for AutoRegressive Integrated Moving Average. ARIMA is a forecasting technique that uses past data points to predict future values.STL Method: STL is a time series decomposition method that separates a time series into three components: trend, seasonality, and random.Multivariate Time Series: Multivariate time series analysis deals with the analysis of time series data that involves more than one variable.Based on the topics you've mentioned, you may want to ask specific questions regarding these topics to get more detailed answers.

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Write the equation of the line that is parallel to y=-3x - 1 and passes through (2, -1)

Answers

Answer:

Step-by-step explanation:

y + 1 = -3(x - 2)

y + 1 = -3x + 6

y = -3x + 5

6- A two-dimensional strain field is given by: Ex =c(-4.5x2+10.5y?) &y=c(1.5x27.5y?) Yxy =1.5bxy where b and c are nonzero constants. a) What should the relationship between b and c be if this field is to satisfy the strain compatibility conditions? b) Determine the displacements u and v corresponding to this field of strain at point (3,7) if they are zero at point(0,0). Use as a value of 2.5 for c.

Answers

a) The relationship between b and c is that c cannot be zero.

b) b can be any nonzero constant and c is equal to 2.5 in this case.

In two dimensions, the compatibility equations for strain are,0

∂εx/∂y + ∂γxy/∂x = 0

∂εy/∂x + ∂γxy/∂y = 0

where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.

Using the given strain field, we can calculate the strains,

εx = -4.5cx² + 10.5cy

εy = 1.5cx² - 7.5cy²

γxy = 1.5bxy

Taking partial derivatives and plugging them into the compatibility equations, we get,

⇒ -9cx + 0 = 0

⇒ 0 + (-15cy) = 0

These equations must be satisfied for the strain field to be compatible. From the first equation,

We get cx = 0, which means c cannot be zero.

From the second equation, we get cy = 0,

Which means b can be any nonzero constant.

For part b:

We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.

To find the displacement components,

We need to integrate the strains with respect to x and y. We get,

u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²

v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³

Plugging in the values of c and b, we get,

u = 5.25(2.5)(7)²  = 767.62

v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75

Therefore,

The displacements at points (3, 7) are u = 767.62 and v = -8583.75.

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can somebody help me

(w - 1) (w + 1) = 8

Answers

Answer:

w = ±3

Step-by-step explanation:

(w - 1) (w + 1) = 8

FOIL the left hand side.

w^2 -w+w-1 = 8

w^2 -1 =8

Add 1 to each side.

w^2 -1+1 = 8+1

w^2 = 9

Take the square root of each side.

sqrt(w^2) = sqrt(9)

w = ±3

pls help it’s due in 20 minutes solve by using PEMDAS

pls help its due in 20 minutes solve by using PEMDAS

Answers

Answer:

23

Step-by-step explanation:

2a/3 + 13 where a = 15

Step 1. Substitute a for 15

2(15)/3 + 13

Step 2. Multiply

30/3 + 13

Step 3. Divide

10 + 13

Step 4. Add

23

Answer:

23

Step-by-step explanation:

30/3 + 13/1

23

Which of the following is the maximum value of the function y = −x^2 + 2x + 1?

Answers

Answer:

Step-by-step explanation:

We don't need choices to find out the correct answer. Solve this problem by completing the square. Begin by setting the quadratic equal to 0 and moving over the constant, like this:

\(-x^2+2x=-1\) and factor out the -1 in front of the x-squared, since the leading coefficient HAS to be a 1:

\(-1(x^2-2x)=-1\) Now take half the linear term, square it, and add it to both sides. Our linear term is -2. Half of -2 is -1, and squaring that gives us 1. So we add a 1 into both sides. But that -1 out front there on the left is a multiplier, so what we actually added in was -1(1) which is -1:

\(-1(x^2-2x+1)=-1-1\)

On the left side we have a perfect square binomial, which is why we do this, and on the right side we have -2:

\(-1(x-1)^2=-2\) and we can move that constant back over and set the quadratic back equal to y:

\(y=-1(x-1)^2+2\)  which gives us a max height of 2.

(If this was modeling parabolic motion, we would know that the time it takes to get to that max height is 1 second. The vertex of this parabola is (1, 2))

The perimeter of a rectangular lawn i 50 meter. It' 16 meter long how wide i it?

Answers

The width of the rectangle is 9 meter.

Now, According to the question:

The perimeter of a rectangle is defined as the sum of all the sides of a rectangle. For any polygon, the perimeter formulas are the total distance around its sides. In case of a rectangle, the opposite sides of a rectangle are equal and so, the perimeter will be twice the width of the rectangle plus twice the length of the rectangle and it is denoted by the alphabet “p”.

Now, Solving the problem:

Perimeter of rectangle is 50 meter sq.

Length of the rectangle(L) is 16 meter.

We have to find the width (W) of the rectangle.

We know that,

Perimeter of rectangle is = 2 (L + W)

50 = 2(16 + W)

50 = 32 + 2W

2W = 50 - 32

2W = 18

W = 18/2

W = 9

Hence, The width of the rectangle is 9 meter.

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find the value of x?

find the value of x?

Answers

Answer:

30

Step-by-step explanation:

The sum of the angles of a triangle is 180

x+34 +116 = 180

Combine like terms

x+150 = 180

Subtract 150 from each side

x+150-150 = 180-150

x = 30

using the angle sum property of triangle.

According to this, sum of all angles of a triangle is equal to 180°

x° + 116° + 34° = 180°

x° + 150° = 180°

x° = 180° - 150°

x° = 30°

Use the general slicing method to find the volume of the following solid The solid with a semicircular base of radius 15 whose cross sections perpendicular to the base and parallel to the diameter are squares The volume of the solid is _____ cubic units

Answers

The volume of the solid with the semicircular base is equal to 2250π units³

What do you mean by integral value ?

In general term integral value means the value obtained after integrating or adding the terms of a function which is divided into an infinite number of terms .

Given here: A solid with a semi circular base with radius = 15 units

We know the the equation of the circle with its center at the origin is given by

x²+y²=15²

\(y=\sqrt{15^2-x^2}\)

Thus constructing the integral we get

 \(\int\limits^{15}_{-15} \ \pi .\frac{1}{2}.( {15^2-x^2}} )\, dx\)

=-πx.(x²-675) /6 +C |¹⁵₋ ₁₅

=2250π

Hence, The volume of the solid with the semicircular base is equal to 2250π units³

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Air is being pumped into a spherical balloon at the rate of 7 cm³/sec. What is the rate of change of the radius at the instant the volume equals 36n cm³ ? The volume of the sphere 47 [7] of radius r is ³.

Answers

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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Use the properties of operations to write an expression equivalent to 4x + 1/2 + 2x - 3

Answers

Hey there!

4x + 1/2 + 2x - 3

COMBINE the LIKE TERMS

= (4x + 2x) + (1/2 - 3)

TRYING to SIMPLIFY THEM

4x + 2x

= 6x

1/2 - 3

= -5/2

ANSWER

6x + (-5/2)

Therefore, your answer should be: 6x + -5/2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

It is possible for a single probability density function to be both a uniform distribution and an exponential distribution. 1)Tัrue 2) False

Answers

False. It is not possible for a single probability density function (PDF) to simultaneously represent a uniform distribution and an exponential distribution.

It is not possible for a single probability density function (PDF) to simultaneously represent a uniform distribution and an exponential distribution. These two distributions have distinct characteristics and shapes. A uniform distribution has a constant PDF over a specific interval, indicating equal likelihood for all values within that range. On the other hand, an exponential distribution has a decreasing PDF, indicating a higher likelihood for smaller values and a decreasing likelihood as values increase. These fundamental differences make it impossible for a single PDF to accurately represent both distributions simultaneously.

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Written as a simplified polynomial in standard form, what is the result when (3x+7)^2 is subtracted from 3?

Answers

Given:

\((3x+7)^2\) is subtracted from 3.

To find:

The result of the given statement in the standard form of the polynomial.

Solution:

We need to find the result when \((3x+7)^2\) is subtracted from 3.

So, the resulted polynomial can be written as:

\(P(x)=3-(3x+7)^2\)

On simplification, we get

\(P(x)=3-((3x)^2+2(3x)(7)+(7)^2)\)               \([\because (a+b)^2=a^2+2ab+b^2]\)

\(P(x)=3-(9x^2+42x+49)\)

\(P(x)=3-9x^2-42x-49\)

\(P(x)=-9x^2-42x-46\)

Therefore, the resulted polynomial in standard form is \(-9x^2-42x-46\).

what is the anwer to this equation "-15" + n = "-9"

Answers

\( - 15 + n= - 9 \\ - 15 + 9 = - n \\ - 6 = - n \\ 6 = n\)

Answer:

n = 6

Step-by-step explanation:

Rearrange terms

-15 + n = -9

n - 15 = -9

Add 15 to both sides of the equation

n - 15+15=-9+15

Simplify

n = 6

[RevyBreeze]

Each of the following sentences has three errors in grammar, capitalization, usage, or spelling. Write a correct version for each sentence. Avoid adding new phrases, starting new sentences, or rewriting in your own words.

1) Among the oddly named towns in the United States are: What Cheer, Iowa, Peculiar, Missouri, and Cheesecake, New Jersey.

2) After our supervisor and her returned from their meeting at 2:00 p.m., we were able to sort the customers names more quickly.

3) 6 of the 18 workers in my department were fired, as a result we had to work harder to achieve our goals.

4) Jeffreys presentation to a nonprofit group netted him only three hundred dollars, which is a tenth of his usual honorarium but he believes in pro bono work.

5) Of all the discoveries and inventions in human history the 4 greatest are said to be these speech, fire, agriculture, and the wheel.

6) Our latest press release written by our corporate communication department announces the opening of three Asian offices.

7) In his justification report dated September first, Justin argued that expansion to twelve branch offices could boost annual revenue to 22 million dollars.

8) The practicality and advisability of opening 12 branch offices are what will be discussed in the consultants feasibility report.

9) 3 categories of Apps (social media, productivity, and entertainment—are most popular for installing on smartphones.

10) Because some organizations prefer single spaced reports be sure to check with your organization to learn it’s preference.

Answers

Below are the corrected versions of the sentences with grammar, capitalization, usage, and spelling errors addressed.

Oddly named towns in the United States include What Cheer, Iowa; Peculiar, Missouri; and Cheesecake, New Jersey.After our supervisor and she returned from their meeting at 2:00 p.m., we were able to sort the customers' names more quickly.Six of the eighteen workers in my department were fired. As a result, we had to work harder to achieve our goals.Jeffrey's presentation to a nonprofit group netted him only three hundred dollars, which is a tenth of his usual honorarium. But he believes in pro bono work.Of all the discoveries and inventions in human history, the four greatest are said to be speech, fire, agriculture, and the wheel.Our corporate communication department has written the latest press release, which announces the opening of three Asian offices.In his justification report dated September 1st, Justin argued that expanding to twelve branch offices could boost annual revenue to 22 million dollars.The feasibility report from the consultants will discuss the practicality and advisability of opening twelve branch offices.Three categories of apps (social media, productivity, and entertainment) are most popular for installing on smartphones.Because some organizations prefer single-spaced reports, be sure to check with your organization to learn its preference.

The sentence lists the oddly named towns correctly, but the capitalization of "Iowa" and "New Jersey" should be in lowercase, and colons are not needed in this context.The pronoun "her" should be replaced with "she" to be grammatically correct. "Customers names" should be "customers' names" to show possession.The numbers "6" and "18" should be written as words, and the sentence should be divided into two sentences for clarity."Jeffreys" should be corrected to "Jeffrey's" to indicate possession. "Pro bono work" should be in italics or quotation marks for correct formatting.The sentence lacks proper punctuation and capitalization. The four greatest discoveries and inventions should be separated by commas.The sentence is grammatically correct, but the use of "our" twice can be avoided for better flow.The date should be written as "September 1st" instead of "September first" for proper formatting.The subject-verb agreement is incorrect. "The practicality and advisability" should be followed by "is," not "are."The number "3" should be written as "Three." The parentheses should be placed correctly, and a comma is needed after "entertainment.""It's" should be corrected to "its" as it denotes possession, not a contraction. The sentence should be divided into two sentences for clarity.

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