You jump off the high dive at a swimming pool. Your
height as a function of time is modeled by
h = 16t² + 12t + 30, where t is the time in
seconds after you jump and h is the height in feet.
What is your maximum height, in feet?

Answer:

the mean of A and C is 10

Step-by-step explanation:

Given;

mean of A and B = 20

mean of B and C = 24

mean of A, B and C = 18

\(\frac{A + B}{2} = 20\\\\A+ B = 40 ---- (1)\\\\\frac{B + C}{2} = 24\\\\B+ C = 48----(2)\\\\\frac{A+ B+ C}{3} = 18\\\\A+ B+ C= 54---(3)\\\\From (1); \ A = 40 - B\\\\From(2); \ C = 48 - B\\\\\Substitute \ the \ values \ of \ A \ and \ C \ into \ (3)\\\\(40-B) + B + (48-B) = 54\\\\simplify;\\\\(40 + 48) + (B-B-B)= 54\\\\88 -B = 54\\\\-B = 54-88\\\\-B = -34\\\\B = 34\)

Recall; A = 40 - B

           A = 40 - 34

           A = 6

Also, C = 48 - B

        C = 48 - 34

       C = 14

Therefore, the mean of A and C is calculated as;

\(= \frac{A + C}{2} \\\\= \frac{6 + 14}{2} \\\\= 10\)

Tom has saved 75% of $80 so far to buy his dad a birthday gift.

To find out how much Tom has saved so far, we need to calculate 75% of $80. To calculate a percentage, we multiply the percentage value by the total amount. In this case, we multiply 75% (expressed as a decimal, 0.75) by $80.
0.75 * $80 = $60
Therefore, Tom has saved $60 so far, which is 75% of the total amount needed for the gift. He still needs an additional $20 ($80 - $60) to reach his goal of $80.

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Answer:

ASA

Step-by-step explanation:

the angles of the vertex are vertical angles, so they are congruent.

We have a congruent side between two congruent angles

Answer:

36

Step-by-step explanation:

She learns 4 appetizers every week and there are 9 weeks total. 9*4=36, so she learned 36 appetizers!

To sketch a slope field for the given differential equation dy/dx = xy^3 at the 9 points indicated, follow these steps:

1. Identify the differential equation: dy/dx = xy^3.

2. Calculate the slope at each of the 9 points using the given equation. For example, if one of the points is (1, 1), then the slope would be (1)(1^3) = 1.

3. Draw a short line segment at each point with the slope calculated in step 2. Make sure the line segment follows the direction of the slope, i.e., if the slope is positive, the line segment should go upwards; if the slope is negative, the line segment should go downwards; if the slope is zero, the line segment should be horizontal.

4. Repeat steps 2 and 3 for all 9 points to complete the slope field.

By following these steps, you will have a visual representation of the slopes of the tangent lines to the solution curves of the given differential equation at the specified points.

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Answer:

True

Step-by-step explanation:

In the simple random sampling every individual in the population has an equal chance to be selected in the sample. Systematic sampling is a probability sampling in which selection of elements is made from order frame. These samples are selected based on intervals of the population.

Answer:

24.8

Step-by-step explanation:

This is pythagorean theorem since it is a right-angled triangle.

A^2 + B^2 = C^2

Where A and B is the 2 sides that make the right angle

And C is the hypotenuse (the longest side)

So we just substitute in

19^2 + 16^2 = C^2

361 + 256 = C^2

617 = C^2

sqrt(617) = C

24.839 = C

Rounded up to the nearest tenth = 24.8

Using the pythagorean theorem, we have :

\(x^{2} = 19^{2} + 16^{2}\)

\(x^{2} = 617\)

\(x = \sqrt{617} = 24.8394846967...\) (round to 24.8)

Answer:

.7 I your answer to your question hope it's help

Answer:

\(\frac{7}{10}\)

Step-by-step explanation:

35/50 -->    \(\frac{7}{10}\)
divide 35 by 5 = 7
divide 50 by 5 = 10

Answer:

\( \frac{5}{8} = \frac{22}{x - 6} \\ x≠6 \\ 5(x - 6) = 176 \\ 5x -30 = 176\)

Answer:

We start with the equation:

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

We want to rewrite this in standard form.

We can multiply both sides by (x + 1) to get:

((x^2 - 1)/(x + 1))*(x + 1) = 2*(x + 1)

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

Now we can move all the terms to one side to get:

x^2 - 1 - 2 - 2*x = 0

x^2 - 2*x - 3 = 0

And this is a standard quadratic equation, that we can solve by using the Bhaskara's formula, this will give us the solutions:

\(x = \frac{-(-2) \pm \sqrt{(-2)^2 - 4*1*(-3)} }{2*1} = \frac{2 \pm 4}{2}\)

Then the two solutions are:

x = (2 + 4)/2 = 3

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

Answer: y = x + 8

Step-by-step explanation:

The equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4) is y = (-2/5)x + 2

The given equation of the line is

5x - 2y = -6

Ax + By = C1

Bx - Ay = C2

are perpendicular.

Then the perpendicular to the line 5x - 2y = -6 is 2x + 5y = C2

We have to find the value of C2

The line is passing through the point (5, -4)

Substitute the values in the equation and find the value of C2

2(5) + 5(-4) = C2

C2 = 10 -20

= -10

The equation will be 2x + 5y = -10

Rearrange the terms and make it slope intercept form

2x + 5y = -10

5y = -10 -2x

5y = -2x - 10

y = (-2/5)x - 2

Hence,  equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4) is y = (-2/5)x + 2

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Answer:

Sam made a mistake. The answer should have been 30.

This is what Sam should have done:

2n^2 - 20

2n^2 - 20 = 2(5)^2 - 20

= 2(25) - 20

= 50 - 20

= 30

Sam multiplied 2 and 5 when he should have done the power first.

boberson is after then my mom

The maximum tracking error is for Observation #7

The Tracking errors are as below: [see in attachemet 1]

The calculations are shown using the below formulas:  [see in attachemet 2]

The maximum tracking error is for Observation #7 , which is 1.9

Tracking error rates for classic active managers typically range from 4% to 7%. Tracking mistakes of 10% to 15% are possible for active managers who are ready to place larger bets away from an index. The tracking errors of absolute return, benchmark-free methods may be substantially larger.

A measurement of how closely a fund follows its benchmark throughout an investing term is called tracking error. It is a volatility indicator. While a significant tracking error suggests the opposite, a modest tracking error suggests that the passive fund will often follow its benchmark quite closely throughout.

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The probability of washing dishes by me tonight will take between 15 and 16 minutes is 14.29%.

The term "uniform distribution" refers to a type of probability distribution in which the likelihood of each potential result is equal.

Let's consider, the lower limit for this distribution as a and the upper limit for this distribution as b.

The following formula gives the likelihood that we will discover a value for X between c and d,

\(P(c\leq X\leq d)=\frac{d-c}{b-a}\)

Given the time it takes me to wash the dishes is 11 minutes and 18 minutes. From this, a = 11 and b = 18.

Then,

\(P(15\leq X\leq 16)=\frac{16-15}{18-11}=0.1429=14.29\%\)

The answer is 14.29%.

The complete question is -

The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18 minutes. What is the probability that washing dishes tonight will take me between 15 and 16 minutes?

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True. it is also appropriate to compare two means at a time using multiple independent two-sample t-tests in the same situation.

While a one-way ANOVA is appropriate for comparing three or more populations means within a set of quantitative data that is categorized according to one factor/treatment, it is also appropriate to compare two means at a time using multiple independent two-sample t-tests in the same situation.

However, using multiple t-tests may increase the probability of making a Type I error, so it is important to adjust the significance level or use a method such as the Bonferroni correction to account for multiple comparisons.

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Answer:

"eight hundredths".

Step-by-step explanation:

The expression “4 is multiplied by the difference of 5 and a number” can be simplified to 4(5 - x) or 4 * (5 - x).

The expression that represents the problem "4 is multiplied by the difference of 5 and a number" is 4(5 - x), where x is the unknown number.
In this expression, the difference of 5 and a number is first calculated, and then the result is multiplied by 4.
This can also be written as 4 * (5 - x), which is equivalent to the original expression.
So the answer to the question is 4(5 - x) or 4 * (5 - x).

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Answer: See explanation

Step-by-step explanation:

From the question, we are informed that On​ Monday, a museum had 350 visitors while on Tuesday, it had 680 visitors. The percent change in the number of visitors to the museum will then be:

= (680 - 350)/350 × 100

= 330/350 × 100

= 94.29%

The number of people that'll have to visit on Wednesday to have the same estimated percent change will be:

= 680 + (94.29% × 680)

= 680 + (0.9429 × 680)

= 680 + 641

= 1321

We use the PEMDAS to reorder the terms of expression when simplifying it.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

We use the PEMDAS to reorder the terms of expression when simplifying it.

The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.

Therefore, use PEMDAS to simplify any expression.

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the height of the triangle formed by the diagonal and base of the TV screen.

The height of the TV is approximately 15.6 inches.

(26 inches / √2) = 18.8 inches

(18.8 inches * √2) = 26 inches

Height = (26 inches / 18.8 inches) * 18.8 inches

Height = 15.6 inches

Step 1: Calculate the hypotenuse of the triangle formed by the diagonal and base of the TV screen.

Hypotenuse = diagonal / √2

Hypotenuse = 26 inches / √2

Hypotenuse = 18.8 inches

Step 2: Calculate the diagonal of the triangle formed by the hypotenuse and base of the TV screen.

Diagonal = hypotenuse * √2

Diagonal = 18.8 inches * √2

Diagonal = 26 inches

Step 3: Calculate the height of the triangle formed by the diagonal and base of the TV screen.

Height = diagonal / base

Height = 26 inches / 18.8 inches

Height = 15.6 inches

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By the knowledge on absolute values, functional theory and rigid transformations and given that the function f(x) = |x|, the function g(x) = f(x - 4) is equal to |x - 4|.

According to the image attached herein, the function f(x) is an absolute value and the function g(x) results from translating f(x) in +x direction, representing a kind of rigid transformation as Pythagoran distance at every point of the function is conserved.

There, we can define the function g(x) as follows:

g(x) = f(x - k), for k > 0     (1)

By the knowledge on absolute values, functional theory and rigid transformations and given that the function f(x) = |x|, the function g(x) = f(x - 4) is equal to |x - 4|.

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Answer: here u go

Step-by-step explanation:

The probability that the sample mean would differ from the true mean by less than 0.5 dollars is approximately 0.0000.By calculating the z-score for a difference of 0.5 dollars, we can then determine the probability using the standard normal distribution.

To calculate the probability that the sample mean would differ from the true mean by less than 0.5 dollars, we can use the Central Limit Theorem. Given that the mean cost of a five pound bag of shrimp is $46 with a standard deviation of $7, and a sample size of 49 bags, we can consider the distribution of sample means. Since the sample size is large (n ≥ 30), we can assume that the distribution of sample means will be approximately normal.

According to the Central Limit Theorem, for a sample size of 49 or larger, the distribution of sample means will be approximately normal, regardless of the shape of the original population. In this case, the mean cost of a five pound bag of shrimp is $46 with a standard deviation of $7. Since we are interested in the probability that the sample mean differs from the true mean by less than 0.5 dollars, we need to calculate the z-score for a difference of 0.5 dollars.

The z-score can be calculated using the formula: z = (x - μ) / (σ / sqrt(n)), where x is the desired difference (0.5 dollars), μ is the true mean ($46), σ is the standard deviation ($7), and n is the sample size (49). Substituting the values into the formula, we get: z = (0.5 - 46) / (7 / sqrt(49)) = -45.5 / (7 / 7) = -45.5 / 1 = -45.5.

Now, we can use the standard normal distribution table or a calculator to find the probability corresponding to the z-score of -45.5. However, since the z-score is extremely large, the probability will be extremely close to 0. Therefore, we can round the answer to four decimal places and conclude that the probability that the sample mean would differ from the true mean by less than 0.5 dollars is approximately 0.0000.

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\(\lim \limits_{x \to2} \frac{ {x}^{2} - 4 }{x - 2} \\ = \lim \limits_{x \to2} \frac{ {(x)}^{2} - {(2)}^{2} }{x - 2} \\ = \lim \limits_{x \to2} \frac{ ( x- 2)(x + 2) }{x - 2} \\ = \lim \limits_{x \to2} ( x+ 2) \\ = 2 + 2 \\ = 4\)

Answer:

4

Hope you could understand.

If you have any query, feel free to ask.

Answer:

The limit of the function as x approaches 2 is 4.

Step-by-step explanation:

This function just simplifies to \(x+2\):

\(\frac{x^2-4}{x-2}\\\\\frac{(x+2)(x-2)}{x-2}\\\\x+2\)

That leaves us with this:

​\(\lim_{x\to2}x+2\)

This is a simple linear function that can be evaluated at \(x=2\):

\(f(x)=x+2\\f(2)=2+2\\f(2)=4\)

The values also exist on either side of this point.

\(f(1.999)=3.999\\f(2.001)=4.001\)