f g is an integer, which of the following could not equal g 2 ?

Average for 3 races to be 28.0, the total times need to equal 28 x 3 = 84 seconds.

84 - 26.3 - 30.3 = 27.4

Her third time was 27.4 seconds.

Answer:

27.4 seconds

Step-by-step explanation:

Answer:

20.52 ft^2

Explanation:

radius = 6 ft

diameter = 2r = 12 ft

Area of semi-circle

Area = (\(\pi\) r^2)/2

Area = (3.14 x 6^2)/2

Area = (3.14 x 36)/2

Area = (113.04)/2

A = 56.52 ft^2

Area of triangle

A = 1/2 bh

A = 1/2(12)(6)

A = 6 x 6

A = 35 ft^2

Area of shaded = 56.52 ft^2 - 35 ft^2 = 20.52 ft^2

The highest point for the quadratic function for the height of the object, h(t) = -16·t² + 224·t + 816, indicates that the interval over which the height of the object is increasing is; (-∞, 7]

The shape of the graph of a quadratic function is a parabola.

The function for the height of the object in question 3 is; h(t) = -16·t² + 224·t + 816

Where;

t = The time in seconds

The height of the object is increasing in the interval to the left of the highest point, which can be found as follows;

The x-coordinate of the highest point of the quadratic function, f(x) = a·x² + b·x + c is; x = -b/(2·a)

Therefore, the x-coordinates of the highest point of the object is; -224/(2 × (-16)) = 7

Therefore, the height of the object is increasing in the interval; -∞ < t ≤ 7

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The total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

To calculate the total value of the annuity in 16 years, we can use the formula for the future value of an annuity:

FV = P * ((1 + r)^n - 1) / r

Where:

FV is the future value of the annuity,

P is the yearly payment,

r is the interest rate per compounding period, and

n is the number of compounding periods.

In this case, the yearly payment (P) is $693, the interest rate (r) is 5.3% or 0.053, and the number of compounding periods (n) is 16.

Let's substitute these values into the formula and calculate the total value of the annuity:

FV = 693 * ((1 + 0.053)^16 - 1) / 0.053

FV = 693 * (1.053^16 - 1) / 0.053

Using a calculator, we can evaluate the expression inside the parentheses:

1.053^16 ≈ 1.9738

Substituting this value back into the formula:

FV = 693 * (1.9738 - 1) / 0.053

FV = 693 * 0.9738 / 0.053

FV ≈ 12739.62

Therefore, the total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

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The correct answer is : of those planning to not to go on vacation, more of them are women.

The correct answer is (C)

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event

Given:  total people asked =145

The first option is not correct because plan to go on vacation women are more than men.

The second option is also incorrect because more women were asked than men.

The third option is correct because out of planning who were not going any vacation, women are more than of men.

The fourth option is incorrect because More men plan to go on vacation.

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Answer: $680

Step-by-step explanation:

Answer: subtract 22 on both sides

Step-by-step explanation:

Now you would have -5 to solve take 3 and multiply on both sides to get f=-15

Hope this helps

Answer: -5

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

12*5=60

6*3=18

1*7=7

hope this help

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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Answer:75.6

Step-by-step explanation:

I) The TOTAL hire purchase of the laptop is; $1550

II) The amount saved by buying the laptop for cash is; $251

I) We are told that the laptop can be bought at hire purchase by making a deposit of $350 and 10 monthly payments at $120 each.

Thus;

Cost of laptop by hire purchase = 350 + 120(10)

>> 350 + 1200

>> $1550

II) Since the cash price is $1299, then amount saved = 1550 - 1299

>> $251

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Answer:

23.2 points

Step-by-step explanation:

If the question is how many points did he earn in round 3, this is the answer.

Hope this helps, have a great day :)

Answer:

Step-by-step explanation:

I'd suggest a bar graph. Some may suggest a pie chart, but it can be visually difficult to quickly tell the difference in sizes between slices of the pie in pie charts when there are a lot of options. With a bar graph, it is usually very easy to see which bar is the tallest.  

Answer:

k+233=t

Step-by-step explanation:

Answer:

35 is not = to 39 this is false  

Step-by-step explanation:

(9) The slope of a line perpendicular to the line, f(x) = 0.75x + 6 is - 4/3.

(10) The slope of a line parallel to this line, y = 10 -8x is -8.

The slope of a line perpendicular to the line is the negative reciprocal of the slope of the line equation.

Question 9.

f(x) = 0.75x + 6

where;

The slope of a line perpendicular to this line = -1/0.75 = -100/75 = -4/3

Question 10.

For the equation of another line, y = 10 - 8x

The slope of a line parallel to this line is equal to the slope of this line and it is calculated as follows;

y = 10 - 8x

where;

slope of a line parallel to the line = -8

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Given a right-angled triangle

Where

The value of x can be deduced by using the Pythagorean theorem

The formula of the Pythagorean theorem is

Solve for x

Hence, the answer is option B

Answer:

Step-by-step explanation:

First, you could factor 2 out of the whole thing.  The result would be 2(x^2-4x-45). Now we find the factors of 45 which are 1, 45, 5, 9, 15, 3. We have to find the pair that adds up to 4, and multiply to get 45. After some guess and check, we can find that 5 and 9 are those numbers. Now we have to get the right signs. Since the result is a negative number for -8k, and -90, the number that is a negative must be less than the other negative. -9<-5, so the answer would be 2(x-9)(x+5)

Answer: If you minus it the answer is -0.488692191 rad

I think

Step-by-step explanation:

How do you find the second of an angle?

The whole part of the measure of an angle in decimal degrees is the whole number of degrees. Multiplying the decimal part by 60 gives the number of minutes. If this number of minutes has a decimal part, then multiplying this decimal part by 60 gives the number of seconds.

These are my opinion

The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

The vertex form of a parabola is given by:y = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2

Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2

Simplifying this, we get:-66 = 16a - 2

Adding 2 to both sides, we get:-64 = 16a

Dividing both sides by 16, we get:a = -4

Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2

Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

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Answer: A. 12^2

Step-by-step explanation: Follow PEMDAS

Answer:

D. All of the above

Step-by-step explanation:

all numbers are considered rational numbers

Answer:

Step-by-step explanation:

You would multiply 24 hours by 60 minutes and then multiply my answer by

60 Seconds.

There are 86400 seconds in one full day

It doesn't follow that x2 and x3 have the same distribution

We can construct a counterexample as follows:

Let x1 be a standard normal random variable (with mean 0 and variance 1), and let x2 and x3 be two independent random variables, each of which takes the value 1 with probability 1/2 and the value -1 with probability 1/2.

Then x1 x2 and x1 x3 both have a standard normal distribution, because the product of a standard normal random variable and an independent discrete random variable with values ±1 is still a standard normal random variable.

However, x2 and x3 do not have the same distribution, because x2 takes the values ±1 with equal probability, while x3 takes the values ±1 with equal probability.

Therefore, the given condition does not imply that x2 and x3 have the same distribution.

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Answer:

B

Step-by-step explanation:

Angle 1 is an exterior angle, while angle 6 is an interior angle and so they are not congruent

The solution to the prompt of multiple square roots is 5.

To obtain the sum of the multiple square roots, we need to first find the square of 30, sum it up in four places and find the square root of the last figure we obtained.

So this gives

√30 =5.47

5.47 + 5.47 + 5.47 + 5.47

= 21.88

=4.67 approximately 5

So. option 5 is the solution.

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