The equation below models the height in feet, h, of a softball t seconds after it is hit by a batter.
h = negative 16 t squared + 105 t + 3
Why is the height of the ball a function of time?
Each value of time is associated with exactly one height.
Each height of the ball is associated with exactly one moment in time.
There is exactly one time at which the maximum height is attained.
There is a maximum and minimum height that the ball can reach.
Answers
A function is used to show the relationship between the input and the output variables.
Height is a function of time because: Each value of time is associated with exactly one height.
The function is given as:
\(h(t) = -16t^2 + 105t + 3\)
The above equation means that:
At time t, the height of the ball is h.
In other words, every value of time (t) have a corresponding value of height (h).
Hence, height is a function of time because (a) Each value of time is associated with exactly one height.
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Answer:
The answer is A
Step-by-step explanation:
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Related Questions
Michael baked 60 oatmeal cookies and 45 chocolate chip cookies to package in plastic containers for her friends at school. She wants to divide the cookies into identical containers so that each container has the same number of each kind of cookie. If she wants each container to have the greatestnumber of cookies possible, how many plastic containers does she need?
(I really need help)
Answers
Answer:
3
Step-by-step explanation:
Michael must find the smallest number possible that can divide 60 and 45 then take the two quotients after dividing the 2 types of cookies by the smallest number possible.
2 is not possible as 45 is an odd number
3 can divide both 60 and 45
60/3 = 20 oatmeal cookies in each container.
45/3 = 15 chocolate chip cookies in each container.
Find a 95% confidence interval for the slope of the model below with n = 30 Coefficients: Estimate Std.Error t value Pr(>[t]) (Intercept) 7.453 1.194 6.24 0.000 Dose -0.5485 0.3099 -1.77 0.087 Round your answers to three decimal places. Attempts: 0 of 4 used Save for Later Submit Answer
Answers
The estimated slope of the model is -0.5485, with a standard error of 0.3099. The t-value for the slope is -1.77, and the p-value is 0.087. We need to calculate a 95% confidence interval for the slope.
To calculate the confidence interval for the slope, we can use the formula: estimate ± (t-value) * (standard error). Given the estimate of -0.5485 and the standard error of 0.3099, we need to find the t-value corresponding to a 95% confidence level with n-2 degrees of freedom (n = 30 in this case). Checking the t-distribution table, the critical value for a two-tailed test is approximately 2.045. Thus, the margin of error is 2.045 * 0.3099.
Calculating the confidence interval:
Lower bound = -0.5485 - (2.045 * 0.3099)
Upper bound = -0.5485 + (2.045 * 0.3099)
Evaluating the above expressions, we find:
Lower bound ≈ -0.638
Upper bound ≈ -0.459
Therefore, the 95% confidence interval for the slope is approximately (-0.638, -0.459). This means we are 95% confident that the true slope falls within this range, based on the given data.
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The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.
Answers
Answer:
1.54 and 1.7 I believe
Step-by-step explanation:
Answer:
The full steel tire is 1.76 pounds and the lighter wheel is 1.54 pounds
Step-by-step explanation:
To find how many pounds each tire is, divide the weight in grams by 453.592
Full steel tire:
800/453.592 = 1.76 pounds
Lighter wheel:
700/453.592 = 1.54 pounds
So, the full steel tire is 1.76 pounds and the lighter wheel is 1.54 pounds
A sequence can be generated by using the equation shown where a(1)=5 and N is a whole number greater than 1.
What are the first four terms in the sequence shown below?
a. -3, 2, 7, 12
b. 5, 2, -1, -4
c. -3, -15, -75, -375
d. 5, 8, 11, 14
Answers
The first four terms in the sequence are 5, 2, -1 and -4
What are the first four terms in the sequence?From the question, we have the following parameters that can be used in our computation:
an = -3 + a(n - 1)
Where
a(1) = 5
This means that
a(2) = -3 + 5
a(2) = 2
a(3) = -3 + 2
a(3) = -1
a(4) = -3 - 1
a(4) = -4
Hence, the first four terms are 5, 2, -1 and -4
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how do I evaluate the expression in the picture using exponents
Answers
Given:
\(\frac{x^m(y^{h-2}x^5)}{x^{3m-1}y^{h+2}}\)\(\frac{x^m(y^{h-2}x^5)}{x^{3m-1}y^{h+2}}=\frac{x^mx^5y^{h-2}}{x^{3m-1}y^{h+2}}\)\(\frac{x^m(y^{h-2}x^5)}{x^{3m-1}y^{h+2}}=\frac{x^{m+5}y^{h-2}}{x^{3m-1}y^{h+2}}\)\(\frac{x^m(y^{h-2}x^5)}{x^{3m-1}y^{h+2}}=x^{m+5-3m+1}y^{h-2-h-2}\)\(\frac{x^m(y^{h-2}x^5)}{x^{3m-1}y^{h+2}}=x^{-2m+6}y^{-4}\)\(\frac{x^m(y^{h-2}x^5)}{x^{3m-1}y^{h+2}}=x^{2(3-m)}y^{-4}\)\(\frac{x^m(y^{h-2}x^5)}{x^{3m-1}y^{h+2}}=\frac{x^{2(3-m)}}{y^4}\)\begin{tabular}{|rrl} \multicolumn{2}{|c}{ Taxable Income } & Tax Rate \\ \hline$0− & 9,950 & 10% \\ 9,950− & 40,525 & 12 \\ 40,525− & 86,375 & 22 \\ 86,375−164,925 & 24 \\ 164,925−209,425 & 32 \\ 209.425−523,600 & 35 \\ 525.600+ & & 37 \\ \hline \end{tabular} 5. Calculating Taxes Duela Dent is single and had $189,000 in taxable income. Using the rates from Table 2.3 in the chapter, calculate her income taxes. What is the average tax rate? What is the marginal tax rate?
Answers
Duela Dent's income taxes can be calculated using the given tax rates and her taxable income of $189,000. Her average tax rate and marginal tax rate can also be determined.
To calculate Duela Dent's income taxes, we need to determine the tax amount for each tax bracket that her taxable income falls into.
The taxable income of $189,000 falls into the following tax brackets:
$0-$9,950: Not applicable
$9,950-$40,525: ($40,525 - $9,950) * 12% = $3,546
$40,525-$86,375: ($86,375 - $40,525) * 22% = $9,992
$86,375-$164,925: ($164,925 - $86,375) * 24% = $19,110
$164,925-$209,425: ($189,000 - $164,925) * 32% = $7,744
$209,425-$523,600: Not applicable
$525,600 and above: Not applicable
Summing up the tax amounts for each bracket, Duela Dent's income taxes amount to $40,392.
The average tax rate is calculated by dividing the total tax amount ($40,392) by the taxable income ($189,000) and multiplying by 100:
Average Tax Rate = ($40,392 / $189,000) * 100 ≈ 21.37%
The marginal tax rate refers to the tax rate applied to an additional dollar of income. In this case, Duela Dent's marginal tax rate is 32%, which corresponds to the tax rate of the last bracket her taxable income falls into.
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Good morning/Evening, i hope ur having a great day can you please solve this by today?
PROBLEM SOLVING m angle U = 2x degree, and m angle V = 4m angle U.
Which value of x makes angle U and angle V complements of
each other?
A. 25
B. 9
C. 36
D. 18
the image of the question is attached
Answers
Answer:
B. 9
Step-by-step explanation:
m∠U = 2x°
m∠V = 4m∠U
= 4(2x°)
= 8x°
Complementary angles add up to 90°.
∠U + ∠V = 90°
2x° + 8x° = 90°
10x° = 90°
x = 90° ÷ 10°
= 9
How much will Bill pay in Medicare if he makes $100,000 next year?
Answers
Answer:
what are the answer questions?
Step-by-step explanation:
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The camera cost $540 if the sales tax is 7.2% what is the tax charge and the total cost?
Answers
Solution:
The cost of the Camera is $540
The sales tax is 7.2%
To find the tax charge, the formula is
\(Tax\text{ charge}=Cost\text{ of item}\times\frac{sales\text{ tax }\%}{100}\)Substitute into the formula above
\(\begin{gathered} Tax\text{ charge}=540\times\frac{7.2}{100} \\ Tax\text{ charge}=\text{\$38.88} \end{gathered}\)Hence, the tax charged is $38.88.
The total cost of the Camera will be
\(=540+38.88=\text{\$578.88}\)Hence, the total cost of the Camera is $578.88
Kathryn spent $12 on a magazine and some notepads. If the magazine cost $2 and each notepad cost $5, then how many notepads did she buy?
Answers
Big Bob is currently 18 years old and weighs 205lbs. Every year he plans on gaining 8lbs. Using the expression from the previous problem (250+ 8y) how much will he weigh when he is 24 years old?
Answers
Answer:he will weigh 298lbs when he is 24 years old
Step-by-step explanation:
24-18=6 so y =6 plug this into problem (250 +(8x6))
8x6=48 (250=48)=298
Select the correct answer. in what year did feminists first propose the era? a. 1891 b. 1923 c. 1954 d. 1965 e. 1982
Answers
Answer: b. 1923
Step-by-step explanation:
Solve the problem. Round dollar amounts to the nearest cent. Use ordinary interest (360 days in a year) unless otherwise indicated. Chris Owens bought a new computer system. To pay for the system, he borrowed $3,290 from the credit union at 10(1/3)% interest for 110 days. Find the interest.
Answers
To find the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days, we use the simple interest formula as follows:
Simple Interest = (P × R × T)/100Where:P = Principal or amount borrowedR = Rate of interest per annumT = Time in years or fraction of a year110 days ÷ 360 days = 0.3056 (time as a fraction of a year)The rate of interest, 10(1/3)% is equal to 10 + (1/3) percent = 10.33% per annum in decimal form = 0.1033Substituting the values we have into the formula,Simple Interest = (P × R × T)/100= (3,290 × 0.1033 × 0.3056)/100= $100.68 (rounded to the nearest cent)
Therefore, the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68.
A credit union loan is a type of personal loan that can be used for a variety of purposes. One of the most common reasons people take out credit union loans is to purchase big-ticket items like a new computer system. When you take out a loan, you must pay back the amount borrowed plus the interest charged by the lender. The interest rate is usually expressed as a percentage of the amount borrowed and is charged for a specific period of time known as the loan term. Simple interest is a method of calculating interest that is charged only on the principal amount borrowed.
It does not take into account the interest that has already been paid. Simple interest is calculated by multiplying the principal amount borrowed by the interest rate and the length of the loan term. The answer is more than 100 words.The interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68. Therefore, he would pay $3,290 + $100.68 = $3,390.68 in total to the credit union over the loan term. It is important to note that when rounding dollar amounts to the nearest cent, amounts that end in .50 or higher are rounded up to the next highest cent, while amounts that end in .49 or lower are rounded down to the next lowest cent. In this case, $100.6847 would be rounded up to $100.68. In conclusion, the interest charged on a loan can significantly increase the total amount that must be repaid, making it important for borrowers to understand how interest is calculated and the terms of their loan.
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under what conditions is it permissible to proceed with a hypothesis test, even though the assumption that participants are randomly selected is violated?
Answers
it may be permissible to proceed with a hypothesis test even if the assumption of random participant selection is violated, under the conditions of known and accounted for non-random selection or random assignment to treatment groups
Random participant selection is an important assumption in hypothesis testing, as it helps ensure the generalizability of the results to the target population. However, in some situations, it may be impractical or impossible to achieve perfect random selection. In such cases, there are a few conditions under which it may still be permissible to proceed with a hypothesis test despite the violation of this assumption:
Non-random selection is known and accounted for: If the non-random selection process is well-documented and understood, researchers can adjust their analysis or statistical methods to account for potential biases introduced by the non-random selection.
Random assignment to treatment groups: Even if participants are not randomly selected, random assignment to different treatment groups can help mitigate the impact of non-random selection. By randomly assigning participants to treatment groups, the effects of non-random selection are distributed evenly across the groups, allowing for valid comparisons and hypothesis testing.
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solve for X. Assume that lines which appear tangent are tangent
Answers
Answer:
C
Step-by-step explanation:
Please help, it’s not college math!!
Answers
Answer: The first answer choice
AKA: y = -1.74x + 46.6
Step-by-step explanation:
I NEED HELP PLEASE I WILL MARK
Answers
Answer:
-22
Step-by-step explanation:
-22 is the quotient
Answer: -22
Hope this helps.
In a classic Conan Doyle story. Sherlock Holmes solves a crime mystery by recognizing that a guard dog didn't bark. Therefore. the dog must have known the perpetrator. Holmes' reasoning goes like this: if the guard dog doesn't know a person. then it barks. The dog didn't bark. Therefore, it knew the person. Which rule of inference is being used here?
Addition. Addition
Simplification. Simplification
Conjunction. Conjunction
Modus Ponens. Modus Ponens
Hypothetical Syllogism. Hypothetical Syllogism
Disjunctive Syllogism. Disjunctive Syllogism
Modus Tollens. Modus Tollens
Resolution. Resolution
Answers
The rule of inference being used here is Modus Tollens. Modus Tollens is a valid deductive argument form that states if a conditional statement "If P, then Q" is true and the consequent Q is false, then the antecedent P must also be false.
In the given scenario, the conditional statement is "If the guard dog doesn't know a person, then it barks."
The observation that the dog didn't bark (Q is false) leads to the conclusion that the dog must have known the person (the antecedent P is false).
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suppose that the series cn xn has radius of convergence 7 and the series dn xn has radius of convergence 8. what is the radius of convergence of series (cn + dn)xn ?
Answers
The radius of convergence of the series (cn + dn)xn is less than or equal to 1/10 + 1/11, or approximately 0.206.
The radius of convergence of a power series is a measure of how far from the center the series converges. For a power series ∑cnxn, the radius of convergence is denoted as R and is defined as the reciprocal of the limit superior of the absolute values of the coefficients:
\(R = 1 / lim sup |cn|^{(1/n)\)
Given that the series ∑cnxn has a radius of convergence of 10, we have:
\(lim sup |cn|^{(1/n) }= 1/10\)
Similarly, the series ∑dnxn has a radius of convergence of 11, so:
\(lim sup |dn|^{(1/n)} = 1/11\)
Now, let's consider the series ∑(cn + dn)xn. We want to find its radius of convergence, which we'll denote as R'.
Using the same definition, we have:
\(R' = 1 / lim sup |(cn + dn)|^{(1/n)\)
To simplify this expression, we'll use the triangle inequality:
|(cn + dn)| ≤ |cn| + |dn|
Taking the limit superior of both sides, we have:
lim sup |(cn + dn)| ≤ lim sup (|cn| + |dn|)
Now, let's analyze the right-hand side of the inequality:
lim sup (|cn| + |dn|) = lim sup |cn| + lim sup |dn|
Using the properties of the limit superior, we have:
lim sup |cn| + lim sup |dn| ≤ 1/10 + 1/11
Combining these inequalities, we have:
lim sup |(cn + dn)| ≤ 1/10 + 1/11
Therefore, we can conclude that the radius of convergence of the series ∑(cn + dn)xn is less than or equal to 1/10 + 1/11.
To summarize, the radius of convergence of the series (cn + dn)xn is less than or equal to 1/10 + 1/11.
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The complete question is:
Suppose the series ∑cn xn has a radius of convergence of 10 and the series ∑dn xn has a radius of convergence of 11. What is the radius of convergence of the series ∑(cn + dn)xn?
What is an equation of the line that passes through the points (-6, -5)(−6,−5) and (-2, 3)(−2,3)? Put your answer in fully reduced form.
Answers
Answer:
y=1/2x-2
Step-by-step explanation:
In Exercises 17-20, describe the possible lengths of the
third side of the triangle given the lengths of the other
two sides. (See Example 5.)
17. Sinches, 12 inches 18. 12 feet, 18 feet
Private commen
Add comment to Lau
19. 2 feet, 40 inches
20. 25 meters 25 meters
In Exercises 21-24, is it possible to construct a triangle
with the given side lengths? If not, explain why not.
21. 6. 7. 11
22. 3, 6, 9
23. 28. 17. 46
24. 35, 120, 125
Answers
17. the sum of the lengths of any two sides of a triangle is always greater than the length of the third side
T=the third side
12+18>T
12+T>18
18+T>12
the first equation says that T<30
the second equation says that T>6
putting these together...
6<T<30
(Credit: Arthur D)
In your notebook, set up the following subtraction in a vertical format and select the correct answer. Find 2p 2 3p - 4 less - 2p 2 - 3p 4. 4p2 6p 8 4p2 - 6p - 8 4p2 6p - 8 0.
Answers
The equation in the reduced form of the equation is \(\rm 4p^ 2 + 6p - 8\).
Given that,
Equation; \(\rm 2p^ 2 + 3p - 4\ by\ -2p ^2 - 3p +4\)
We have to reduce the equation.
According to the question,
To reduce the equation means we need to subtract one equation from the other.
To determine the reduced form of the equation following all the steps given below.
Equation; \(\rm 2p^ 2 + 3p - 4\ by\ -2p ^2 - 3p +4\)
Subtraction equation 1 from equation 2,
\(\rm = \rm 2p^ 2 + 3p - 4\ -(-2p ^2 - 3p + 4)\\\\= 2p^ 2 + 3p - 4\ -(-2p ^2 -3p +4)\\\\ = 2p^ 2 + 3p - 4+2p^ 2 + 3p - 4 \\\\ = 4p^ 2 + 6p - 8\)
Hence, The equation in the reduced form of the equation is \(\rm 4p^ 2 + 6p - 8\).
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which is the best estimate for the mass of a rose
Answers
Answer:
Step-by-step explanation:
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NEED ANSWER ASAP!!! WILL GIVE BRAINLIEST TO WHO ANSWERS FIRST!
Solve for x: 2x − 2 > 4x + 6. (5 points)
x −4
x 4
Answers
Answer:
x < - 4
Step-by-step explanation:
Given
2x - 2 > 4x + 6 ( subtract 2x from both sides )
- 2 > 2x + 6 ( subtract 6 from both sides )
- 8 > 2x ( divide both sides by 2 )
- 4 > x , thus
x < - 4
which number is greatest?
Answers
Answer:
3.88
Step-by-step explanation:
→ Calculate the exact value of each number
19 ÷ 5 = 3.8
3.88 = 3.888888888
15 ÷ 4 = 3.75
√15 = 3.8729
mark the wheat and rice product in areas in the map of India
PLS MAKE AND SHOW ON THE MAP
I will definitely mark you brainliest
Answers
this will be helpful and don't forget to mark me
I found this on B i n g because I don't have a map of India.
Rice is mainly grown and eaten in South and East India, while wheat is predominantly grown and eaten in North and West India.
(The first picture is top ten).
(The second one is all).
♡ Anyways I hope this helped! ♡
❀ Have an amazing day or night! ❀
Brainiest is appreciated! ♡
What is the answer to graph A B and C
Answers
Answer:
Step-by-step explanation:
1. A
2. C
3. B
The highlighted areas represent bases. What is the lateral surface area
of the shape?
Help me please I need to pass this test
Answers
Answer:lol
Step-by-step explanation
There are 10 people at the gym, and 8 of those people are running. What
fraction of the people are running?
Answers
Answer:
Step-by-step explanation:
8/10 is the fraction of people running and people in gym which is 80/100
80%
What is the solution to the system of equations 3x + 2y = -10 and y = -x - 4
Answers
Answer:
(-2,-2)
Step-by-step explanation: