Problem:
A ball is thrown upward and outward from a height of 6 feet. The height of the ball, f(x), in feet,
can be modeled by
I
f(x)=-0.6x2 +2.7 x+6
where x is the ball's horizontal distance, in feet, from where it was thrown. Use this model to
solve parts (a) through (b).
a. What is the maximum height of the ball and how far from where it was thrown does this
occur? Place answer below, but you MUST show all work!
feet from the point of release.
The maximum height is feet, which occurs
(Round to the nearest tenth as needed)
b. How far does the ball travel horizontally before hitting the ground?
Place answer below, but you MUST show all work!
The ball travels
feet. (Round to the nearest tenth as needed).

Step-by-step explanation:

If you need help with how I got my answer, you can ask me.

\( \frac{2yx {}^{ - 4} }{(x {}^{ - 4}y {}^{4}) {}^{3} \times 2x {}^{ - 1}y {}^{ - 3} } \)

\( \frac{2yx {}^{ - 4} }{x {}^{ - 12}y {}^{12} \times 2x {}^{ - 1}y {}^{ - 3} } \)

\( \frac{2y x {}^{ - 4} }{2x {}^{ - 13} y {}^{ - 9} } \)

\( = x {}^{9} y {}^{ - 8} \)

\( = \frac{x {}^{9} }{y {}^{8} } \)

12.

\(( \frac{2u {}^{ 4} }{ - u {}^{2}v {}^{ - 1} \times 2uv {}^{ - 4} } ) {}^{ - 1} \)

\(( \frac{2u {}^{4} \times 1 }{ - 2 {u}^{3}v {}^{ - 5} } ) {}^{ - 1} \)

\(( - u v {}^{ 5} ) {}^{ - 1} \)

\( = - u {}^{ - 1} v {}^{ - 5} = - \frac{ 1}{uv {}^{5} } \)

13.

\( - \frac{2m {}^{4}n {}^{ - 1} }{( - m {}^{2}n {}^{ - 2}) {}^{ - 1} \times - nm {}^{ - 3} } \)

\( - \frac{2m {}^{4}n {}^{ - 1} }{ - m {}^{ - 2} n {}^{2} \times - nm {}^{ - 3} } \)

\( - \frac{2m {}^{4} n {}^{ - 1} }{m {}^{ - 5}n {}^{3} } = - 2m {}^{9} n {}^{ - 4} \)

\( = - \frac{2m {}^{9} }{n {}^{4} } \)

14.

\(( \frac{x {}^{3}y {}^{ - 4} }{ - {x}^{2} y {}^{ - 3} \times yx {}^{0} } ) {}^{3} \)

\(( \frac{x {}^{3}y {}^{ - 4} }{ - {x}^{ - 2}y {}^{ - 2} } ) {}^{3} \)

\(( - {x}^{5} y {}^{ - 2} ) {}^{3} = - x {}^{15} y {}^{ - 6} \)

\( - \frac{x {}^{15} }{ {y}^{6} } \)

15.

\( - \frac{yx {}^{4} \times - {y}^{3} z { }^{ - 4} }{(z {y}^{2} ) {}^{4} } \)

\( - \frac{ - y {}^{4} x {}^{4} z {}^{ - 4} }{ {z}^{4} y {}^{8} } = - y {}^{4} x {}^{4} z {}^{ - 8} = - \frac{(xy) {}^{4} }{ {z}^{8} } \)

16.

\( \frac{h {}^{7}j {k}^{4} }{4h {}^{4} } = \frac{1}{4} h {}^{3} = \frac{h {}^{3} jk {}^{4} }{4} \)

The explicit formula for the sequence an = 1-en-1 nten is an = 1 - e^(n-1) * (n-1) * e.

Alternatively, if we consider the sequence an = 1-en-1 2+en, the explicit formula would be an = 1 - e^(n-1) * (n-1) * e + e^(n-1) * (n+1) * e. Lastly, if we consider the sequence an = 1-en 2+en, the explicit formula would be an = 1 - e^n * n * e + e^(n-1) * (n+2) * e.

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Answer:

less than, are not

Step-by-step explanation:

n/a

Answer:

Greater than, are not

Step-by-step explanation:

\(\dfrac{1}{3} t+\dfrac{1}{18}\) when t is equal to \(\dfrac{1}{6}\)

\(\dfrac{1}{3} (\dfrac{1}{6} )+\dfrac{1}{18}\)

\(=\fbox{$\dfrac{1}{9}$ or 0.111111}\)

The power of the test is low and not sufficient to detect a significant difference between the two treatments with the given sample size of 35.

To calculate the expected power of the test, we need to consider the survival rates, the significance level, and the sample size. Let's follow these steps:

Determine the proportions
Old treatment survival rate (p1) = 0.75
New treatment survival rate (p2) = 0.85

Determine the significance level
Two-sided significant difference level (α) = 0.05

Calculate the pooled proportion
Pooled proportion (p) = (p1 + p2) / 2 = (0.75 + 0.85) / 2 = 0.80

Calculate the standard error
Standard error (SE) = √(p × (1 - p) × (1/n1 + 1/n2)) = √(0.80 × (1 - 0.80) × (1/35 + 1/35)) ≈ 0.065

Calculate the test statistic (z)
z = (p2 - p1) / SE = (0.85 - 0.75) / 0.065 ≈ 1.54

Find the critical value for the two-sided significant difference at the 5% level
z_critical = 1.96 (from a standard normal distribution table)

Calculate the power of the test
In this case, since the test statistic is smaller than the critical value (1.54 < 1.96), we cannot reject the null hypothesis at the 5% significance level.
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Answer: n = 15/2

Step-by-step explanation:

Divide both sides n/10 = 3/34

Calculate n = 3/4 x 10

Answer is n = 15/2

Answer::b.

Step-by-step explanation:

Answer:

The line equation in the slope-intercept form:

\(y=\frac{3}{2}x+2\)

Step-by-step explanation:

We know that the slope-intercept of line equation is

\(y = mx+b\)

Where m is the slope and b is the y-intercept

Given the line

\(2x + 3y = 9\)

Writing in the slope-intercept form

\(2x + 3y = 9\)

\(y=-\frac{2}{3}x+3\)

Therefore, the slope of the line = m = -2/3

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -2/3

perpendicular slope = – 1/m

                                  \(=-\frac{1}{-\frac{2}{3}}=\frac{3}{2}\)

Given the point

(x₁, y₁) = (-2, -1)

Using the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

where m is the slope and (x₁, y₁) is the point

substituting the perpendicular slope m = 3/2 and the point (-2, -1)

\(y-\left(-1\right)=\frac{3}{2}\left(x-\left(-2\right)\right)\)

Writing in the slope-intercept form

\(y+1=\frac{3}{2}\left(x+2\right)\)

subtract 1 from both sides

\(y+1-1=\frac{3}{2}\left(x+2\right)-1\)

\(y=\frac{3}{2}x+2\)

Thus, the line equation in the slope-intercept form:

\(y=\frac{3}{2}x+2\)

Answer:

Sierra is 19 and Tina is 12.

Step-by-step explanation:

Sierra is 19 and Tina is 12.

19-7 = 12

19+12= 31

Answer:

500

Step-by-step explanation:

Add the number of pizzas to find the total, 1020. Since there are 204 thick crusts out of the 1020 pizzas, we can conclude that there is a thick crust in every 5 pizzas. We can make the denominator 2500, making the fraction 500/2500, thus we know there will 500 thick crust pizzas out of the next 2500 pizzas he sells.

f(x) = x is a simple linear function with a slope of 1, f(x) = 3 5 6 is a constant function, f(x) = 3-x is a linear function with a negative slope of -1,  f(x) = 1 is a constant function, f(x) = 2 is a constant function

A constant function is a mathematical function whose output value is the same for every input value

From the given parameters, f(x) = x is a simple linear function with a slope of 1, this implies  that for every unit increase in x, the value of y increases by 1.

Also,  f(x) = 3 5 6 is a constant function, where the value of y is always 3 5 6, regardless of the value of x.

In the same way,  f(x) = 3-x is a linear function with a negative slope of -1, which means that for every unit increase in x, the value of y decreases by 1. The fourth function f(x) = 1 is a constant function, where the value of y is always 1, regardless of the value of x.

The domain of the fifth function is 3 0, which means that x can take any value between 3 and 0.

The sixth function f(x) = 2 is a constant function, where the value of y is always 2, regardless of the value of x.

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Answer:

64

Step-by-step explanation:

\((6+1/3x)^2\)

Lets first substitute x into the equation:

\((6+1/3[6])^2\)

1/3 times 6 = 2

\((6+2)^{2}\)

\(8^{2}\)

Which equals 64

Answer:

(i) For \(2\cdot h\), the volume is \(96\pi\) cubic centimeters.

(ii) For \(5\cdot h\), the volume is \(240\pi\) cubic centimeters.

(iii) For \(\frac{h}{2}\), the volume is \(24\pi\) cubic centimeters.

(iv) For \(\frac{h}{5}\), the volume is \(9.6\pi\) cubic centimeters.

Step-by-step explanation:

The volume of the cylinder (\(V\)), measured in cubic centimeters, is defined by the following formula:

\(V = \pi\cdot r^{2}\cdot h\) (1)

Where:

\(r\) - Radius, measured  in centimeters.

\(h\) - Height, measured in centimeters.

From statement, we understand that volume of the cylinder is directly proportional to its height. That is:

\(V \propto h\)

\(V = k\cdot h\) (2)

Where \(k\) is the proportionality constant, measured in square centimeters.

In addition, we eliminate this constant by constructing the following relationship:

\(\frac{V_{2}}{V_{1}} = \frac{h_{2}}{h_{1}}\)

\(V_{2} = \frac{h_{2}}{h_{1}} \cdot V_{1}\) (3)

Based on (3) and knowing that \(V_{1} = 48\pi\), we calculate the volumes for each height ratio:

(i) For \(2\cdot h\), the volume is \(96\pi\) cubic centimeters.

(ii) For \(5\cdot h\), the volume is \(240\pi\) cubic centimeters.

(iii) For \(\frac{h}{2}\), the volume is \(24\pi\) cubic centimeters.

(iv) For \(\frac{h}{5}\), the volume is \(9.6\pi\) cubic centimeters.

The answers to the questions based on the circle graph are given as follows.

a. The degrees for each part of the circle graph are approximately -

b. The percentage of people who chose each day is approximately -

c. The number of people who chose each day is approximately -

d. See the table attached.

To find the values for each part of the circle graph, we need to determine the value of x.

Given the information provided -

Monday = x°

Tuesday = 3/2x°

Wednesday = 90°

Thursday = 3x°

Friday = 2x°

a. To find the value of x, we can add up the angles of all the days in the circle graph -

x + (3/2)x + 90 + 3x + 2x = 360°

Simplify the equation -

Now  calculate the valuesfor each   protionof the circle graph -

b. The percentage of people who chose each day

c. Calculate the number of   people who chose each day,we can use the percentage values andmultiply them   by the total number of people surveyed (200).

d. Organizing the results in a table - See attached table.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached Image.

Answer:

2+2 is 4

Step-by-step explanation:

 2

+2

___

 4

Answer:

4

2 is the same 1+1

1 + 1 + 1 + 1 =4

Hope this helps!

If lidocaine is injected intra-arterially, it can quickly lead to systemic toxicity. The first signs of toxicity may include circumoral numbness and tongue paresthesia, but these symptoms may be followed by more severe manifestations such as dizziness, seizures, and cardiac arrest.

The systemic effects of lidocaine are dose-dependent, meaning that the higher the dose, the more severe the symptoms.

Lidocaine is a local anesthetic that is commonly used for minor surgical procedures or dental work. It works by blocking the nerve signals that transmit pain to the brain. However, if it is injected into an artery, it can rapidly spread throughout the body and affect other organs, leading to potentially life-threatening complications.

If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly. The first step is to stop the injection and monitor the patient closely for signs of toxicity. If the patient is experiencing severe symptoms, such as seizures or cardiac arrest, emergency treatment should be initiated immediately. Treatment may include administering medications to counteract the effects of the lidocaine or performing cardio-pulmonary resuscitation (CPR) if necessary.

In conclusion, the first signs of lidocaine toxicity may include circumoral numbness and tongue paresthesia, but more severe symptoms may follow, such as dizziness, seizures, and cardiac arrest. If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly to prevent potentially life-threatening complications.

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Answer:

20 days

Step-by-step explanation:

If he rides 12 miles every 3 days, then he rides 4 miles in one day. Divide 80 / 4 and you get 20 days.

Answer:

whats the answer omg

Step-by-step explanation:

help zendaya

Answer:

$8

Step-by-step explanation:

36-12= 24 money left for candy

24/3=8 price of each candy

The slope-intercept form of the equation of the line through the given point and parallel to the given line is y=x−14.

In the given question we have to write the slope-intercept form of the equation of the line through the given point and parallel to the given line.

The given points are (–2, –16).

The given equation of line is y = x – 5.

Standard equation of line is y=mx+c.

After comparing to the standard equation.

Slope m(1) = 1

The line passes through (−2,−16), so the point will satisfy the equation y=mx+c. So

−16=−2*1+c

Simlifying

−16=−2+c

Add 2 on both side, we get

c = −16+2

c = −14

As we know that if line is parallel then

m(1)=m(2)

So the value of solpe m = 1

Now the equation of line

y=1*x+(−14)

y=x−14

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The right answer is:

How do you write the slope-intercept form of the equation of the line through the given point and parallel to the given line?

Point (−2,−16), y = x – 5

The probability that a selected individual's height will be less than 45 inches is approximately 0.0228.

We can use the normal distribution to find the probability that a selected individual's height will be less than 45 inches. We'll need to first calculate the z-score for a height of 45 inches, and then use a standard normal distribution table or calculator to find the corresponding probability.

The formula for calculating the z-score is:

z = (x - μ) / σ

Where x is the height we're interested in, μ is the population mean (given as 53 inches), and σ is the population standard deviation (given as 4 inches).

Plugging in the values, we get:

z = (45 - 53) / 4 = -2

Now, we can use a standard normal distribution table or calculator to find the probability of a z-score less than -2. Using a table, we find that the probability is approximately 0.0228.

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=============================================

Explanation:

x = number of cups

y = total height

We have these ordered pairs

(x1,y1) = (2,16)

(x2,y2) = (4,20)

Let's find the slope of the line through those points.

\((x_1,y_1) = (2,16) \text{ and } (x_2,y_2) = (4,20)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{20 - 16}{4 - 2}\\\\m = \frac{4}{2}\\\\m = 2\\\\\)

A slope of 2, aka 2/1, means each time x goes up by 1, the y value goes up by 2.

It means each time we add a cup, the total height goes up by 2 cm.

This isn't the final answer, but it helps get us there.

------------

We'll then use point-slope form to determine the equation.

\(y-y_1 = m(x - x_1)\\\\y-16 = 2(x - 2)\\\\y = 2(x - 2)+16\\\\y = 2x - 4+16\\\\y = 2x + 12\\\\\)

The last step is to plug x = 1 into that equation to determine the height of 1 cup.

So,

\(y = 2x + 12\\\\y = 2*1 + 12\\\\y = 2 + 12\\\\y = 14\\\\\)

We have x = 1 cup lead to a total height of y = 14 cm.

The final answer is 14 cm.

-----------------

Notice that adding on 2 cm (the slope) gets us to 14+2 = 16 cm which is the height of two cups stacked together. A lot of the 2nd cup's height is part of the 1st cup's height. Only the 2 cm at the top is going to be added.

We could see that if we used x = 2.

\(y = 2x + 12\\\\y = 2*2 + 12\\\\y = 4 + 12\\\\y = 16\\\\\)

That confirms the left-most part of the diagram.

Now try x = 4.

\(y = 2x + 12\\\\y = 2*4 + 12\\\\y = 8 + 12\\\\y = 20\\\\\)

That works as well. It helps confirm we have the correct equation, and also confirms the final answer is correct. Another way to confirm is to either graph or use a table.

If you wanted to find the height of 8 cups, then,

\(y = 2x + 12\\\\y = 2*8 + 12\\\\y = 16 + 12\\\\y = 28\\\\\)

The given demand equation is q=10−2p, while the supply equation is q=3p. When the two equations are equated, we get;10-2p = 3pp = 2The equilibrium price is thus: q = 3(2) = 6Therefore, the equilibrium price is 6.

When the quantity demanded reduces from 100 to 50, and price increases from 100 to 120, we can calculate the price elasticity of demand to determine whether demand is elastic, inelastic, or unit elastic. Using the formula, the price elasticity of demand can be found as follows:

\frac{\frac{50+100}{2}}{\frac{120+100}{2}}=\frac{75}{110}. Using the midpoint formula, the price elasticity of demand is:0.68Since the price elasticity of demand is less than one, demand is inelastic.

In summary, when demand is inelastic, a change in price will have a smaller effect on quantity demanded. When demand is elastic, a change in price will have a greater effect on quantity demanded. Unit elastic demand is when the price elasticity of demand is exactly equal to 1.In this problem, the equilibrium price was determined to be 6. From this point, the price elasticity of demand was calculated to be 0.68, which is less than 1, implying that demand is inelastic. Therefore, a change in price from 100 to 120 will have a smaller effect on quantity demanded. In this case, the price elasticity of demand is greater than zero, which implies that demand is not perfectly inelastic.

The equilibrium price is 6.The price elasticity of demand is 0.68, indicating that demand is inelastic. When the price increases from 100 to 120 and quantity demanded falls from 100 to 50, the change in price will have a smaller effect on quantity demanded because demand is inelastic.

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To establish whether findings from a sample may be extrapolated to the entire population, we use inferential statistics.

A population is the total group about which you want to reach conclusions. A sample is the specific group from which you will collect data. Always, the sample size is less than the whole population. The term "population" in research rarely refers to people. Using an office as an example, all of the employees would represent the Population, and all of the managers would represent the Sample. To create a comparison, picture your population as an ocean, and your sample as an aquarium.

Inferential statistics is a branch of statistics that uses data to draw inferences and generalizations about a certain situation or fact.

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Answer:

a. h = A/w = 2 ³/₄ ft

b. A'/A = 2/3

Step-by-step explanation:

a. What is the total height of the wall? Write an equation to represent the situation. Then solve.

The wall is a rectangle and its area is A = wh where w = width and h = height of wall.

Making h subject of the formula,

h = A/w

Now, Since the area of the retaining wall, A is 23 ³/₈ ft² and its width is the length of the portion of the wall which is brick w is 8 ¹/₂ ft, then

h = A/w

= 23 ³/₈ ft² ÷ 8 ¹/₂ ft

= 187/8 ft² ÷ 17/2 ft

= 187/8 ft² × 2/17 ft

= 187/4 ft² × 1/17 ft

= 187/68 ft

= 2 ³/₄ ft

b. If the area of the brick portion of the wall is 15(7/12), what fraction of the wall is brick? Write an equation to show your work.

Since the area of the brick portion of the wall is A' = 15 ⁷/₁₂ ft²  and the total are of the retaining wall is A =  23 ³/₈ ft²

The fraction of the wall that is brick = A'/A

= 15 ⁷/₁₂ ft² ÷ 23 ³/₈ ft²

= 187/12 ÷ 187/8

= 187/12 × 8/187

= 8/12

= 2/3

Answer with Step-by-step explanation:

a) 2 3/4 ÷ 3 = 11/12 feet

11/12 + 11/12 = 1 5/6

Or, you could write an algebraic equation:

2 3/4 ÷ 3 = x.  (3x = 2 3/4)

x = 11/12

The height of the brick proportion of the wall is 1 5/6

b)

You know that 8 x 2 is 16. Well, you already know that the whole total of fractions, multiplied together, would probably be less that 1 and less than 1/2.

So, your rounded answer should be 16. Or 16 1/2

c)  

Area = 8 1/2 x 2 3/4.

Use Distributive Property to solve the area.

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

8 x 2 = 16

3/4 x 1/2 = 3/8

16 + 3/8 = 16 3/8

x = 16 3/8

I think my answer is reasonable because I estimated 16, and 1/2. 3/8 is close to 1/2. That's why my answer is reasonable.

-kiniwih426

The p-value represents the probability of observing a sample mean as extreme as, or more extreme than, the one obtained, assuming the null hypothesis is true.

To determine whether the population mean life span for Honolulu is less than 77 years, we can conduct a hypothesis test using the given information. Let's set up the hypotheses:

Null Hypothesis (H0): The population mean life span for Honolulu is greater than or equal to 77 years.

Alternative Hypothesis (Ha): The population mean life span for Honolulu is less than 77 years.

To find the p-value, we would need additional information such as the sample mean and standard deviation. Without those values, we cannot directly calculate the p-value. However, we can describe the process of hypothesis testing.

To test the hypothesis, we would collect a sample of life spans in Honolulu, calculate the sample mean and standard deviation, and perform a one-sample t-test or z-test depending on the sample size and information available. This test would yield a test statistic and corresponding p-value.

A small p-value (less than the significance level, typically 0.05) would provide evidence to reject the null hypothesis in favor of the alternative hypothesis, suggesting that the population mean life span for Honolulu is indeed less than 77 years.

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Answer:

2. 95

3. 85

4. 95

Step-by-step explanation:

Mark me brainliest? :)

Answer:

The range is 12, 0, -6

Explanation:

Given the function:

f(x) = 4 - 2x

We want to find the range of this function, given that the domain is:

-4, 0, 5

This can be done by replacing x by each element ot the domain in the given function, find f(x).

For element -4

f(-4) = 4 - 2(-4)

= 4 + 8

= 12

For element 0

f(0) = 4 - 2(0)

= 4 - 0

= 0

For element 5

f(5) = 4 - 2(5)

= 4 - 10

= -6

The range is 12, 0, -6

Answer:

it will mist likely be A hope this helps