Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h.
A. h(-3) = -1
B. h(13) = 18
C. h(2) = 16
D. h(8) = 21

Step-by-step explanation:

The circumference of a circle is given by the formula:

C = πd

where d is the diameter of the circle and π is a mathematical constant approximately equal to 3.14159.

In this case, the diameter of the circle is 58, so we can substitute this value into the formula:

C = πd

C = π(58)

C ≈ 182.09

Therefore, the circumference of the circle with diameter 58 is approximately 182.09 units. Note that the units of measurement were not specified in the question, so the units of the answer will depend on the units used for the diameter.

Answer:

Apparently it's 4800 according to desmos.

Step-by-step explanation:

Step-by-step explanation:

x y

-3 150

-2 300

-1 600

0 4800

As you can see, for negative values of x, the area burned becomes smaller and smaller as x becomes more negative. This is because the equation y = 4800(2)^x has a base of 2, which means that as x becomes more negative, 2^x becomes smaller and smaller, causing y to become smaller and smaller as well.

The probability that the student will finish her trip in 60 minutes or less is 0.4

To find the probability that the student will finish her trip in 60 minutes or less, we need to find the proportion of the total area under the uniform distribution curve that lies to the left of 60 minutes.

Since the travel time is uniformly distributed between 40 and 90 minutes, the probability density function is

f(x) = 1/(90-40) = 1/50, for 40 ≤ x ≤ 90

The probability of finishing the trip in 60 minutes or less is therefore

P(X ≤ 60) = ∫[40, 60] f(x) dx

= (60-40)/50

Do the arithmetic operations

= 0.4

Learn more about probability here

brainly.com/question/11234923

#SPJ4

Answer: True.

Step-by-step explanation:

Important differences are always statistically significant if small sample size is used

For the Yoko Fund, the Treynor ratio is 6.0%, although none of the answer choices provided is a close approximation, we can choose option c. 6.750

The Treynor ratio measures the excess return earned by an investment per unit of systematic risk (i.e., beta). It is calculated as the difference between the return of the investment and the risk-free rate, divided by the investment's beta.

The formula for the Treynor ratio is:

Treynor Ratio = (Return of the Investment - Risk-Free Rate) / Beta

In this case, the return of the Yoko Fund is 11.2%, the risk-free rate is 3.1%, the beta is 1.20, and we are given the standard deviation of the Yoko Fund's returns, which is 17.5%.

Using the formula, we get:

Treynor Ratio = (11.2% - 3.1%) / 1.20

= 6.0%

Therefore, the Treynor ratio for the Yoko Fund is 6.0%.

None of the answer choices is exactly equal to 6.0%, but the closest one is (c) 6.750.


To know more about Treynor ratio refer here:

https://brainly.com/question/28180396#

#SPJ11

The information indicates that the correct answer is 9.76% annually.

The area of mathematics that deals with the characteristics of surrounding space, spatial interactions between distinct objects, and the shape of particular items.

It would take 19 years between 1996 and 2015 in all.

We are aware that the equation: gives a geometric mean of a collection of n positive numbers.

GM =  [tex]((x1)(x2)(x3).............)^{1/n}[/tex]

This would provide us with the product of these values' nth roots.

Thus, the following would be the formula indicating rate of rise over time: -

GM =  [tex](value at the end of the period / value at the start of the period)^{1/n} -1[/tex]

[value at the end of the period / value at the start of the period

Value at the conclusion of the time is equal to 241,364,256, hence the statement stands.

The initial value was 40,257,000.

n = 19

Using values, we obtain:

=[tex](241,364,256/40,257,000)^{1/19} -1[/tex]

= (5.995)1/19 - 1

= 0.0976

= 9.76% per year

To know more about geometric visit:

brainly.com/question/13008517

#SPJ1

Answer:

The slope of the line passing through the points (1, -1) and (4, 8) is 3.

Step-by-step explanation:

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the following formula:

[tex]slope = (y2 - y1) / (x2 - x1)[/tex]

Here, the given points are (1, -1) and (4, 8). So,

[tex]slope = (8 - (-1)) / (4 - 1) = 9 / 3 = 3[/tex]

Therefore, the slope of the line passing through the points (1, -1) and (4, 8) is 3.

Answer:

Step-by-step explanation:

The radical form for each expression is given as follows:

How to obtain the radical form of each expression?

The general format of the exponential expression is given as follows:

To obtain the radical form, we have that:

a is the radicand.

n is the exponent.

m is the root.

Hence the radical form of the exponential expression is given as follows:

More can be learned about the radical form of expressions at brainly.com/question/28519153

The given series diverges to negative infinity as the terms cancel out, leaving only two terms at the beginning and end of the series.

To determine the convergence of the given series, we can use the telescoping series method.

Let's write out a few terms of the series to see if we can spot a pattern:

n=1: 1/2 - 3/4 = -1/4

n=2: 2/3 - 4/5 = -2/15

n=3: 3/4 - 5/6 = -1/8

n=4: 4/5 - 6/7 = -2/35

...

We can see that the terms of the series cancel out, leaving only two terms at the beginning and end of the series. Therefore, we can write the series as:

∑ (n/n+1 - n+2/n+3) = 1/2 - (n+2)/(n+3)

As n approaches infinity, the second term approaches 1, so the series diverges to negative infinity.

Therefore, the given series diverges.

To know more about converge and diverge series:

https://brainly.com/question/15415793

#SPJ4

_____The given question is incomplete, the complete question is given below:

Which of the series in exercises 17–56 converge, and which diverge? use any method, and give reasons for your answers

(∑ ∞ to n = 1) = (n/n+1 - n+2/n+3)

The height of the trapezoid is 7 ft.

The formula for the area of a trapezoid is:

A = 1/2 * (a + b)h

where A is the area, a and b are the lengths of the parallel sides, and h is the height (the perpendicular distance between the parallel sides).

Given A = 24.5 ft², a = 3 ft and b = 4 ft. We can solve for h. That is:

A = 1/2 * (a + b)h

24.5 = 1/2 * (3 + 4)h

24.5 = 1/2 * (7)h

24.5 = 3.5h

h = 24.5/3.5

h = 7 ft

Therefore, the height of the trapezoid is 7 ft.

Learn more about trapezoid on:

https://brainly.com/question/1410008

#SPJ1

The expression that best represents the total cost of the charter bus for the field trip is 12n + 50

The total cost of the charter bus for the field trip consists of a $50 reservation fee and an additional $12 per student.

If n represents the number of students going on the field trip, then the expression for the total cost can be written as:

Total cost = 12n + 50

This expression represents the variable cost of the charter bus, which depends on the number of students going on the field trip.

The fixed cost of $50 is added to the variable cost to give the total cost.

Read more about linear function at

https://brainly.com/question/30318449

#SPJ1

Answer:

Step-by-step explanation:

there are 6 red counters, 24 blue counters, and 5 green counters in the bag, based on the given information.  The given information provides us with the ratio of red to blue counters in a bag, which is 2:5. This means that for every 2 red counters in the bag, there are 5 blue counters.

Let the number of red counters in the bag be 2x, where x is a constant. Then, the number of blue counters in the bag is 5x. We are also given that there are 9 more blue counters than before, so the new number of blue counters is 5x + 9.

We know that there are 35 counters in total, so we can write an equation based on this information:

2x + 5x + 5x + 9 = 35

Simplifying this equation, we get:

12x + 9 = 35

Subtracting 9 from both sides, we get:

12x = 26

Dividing both sides by 12, we get:

x = 2.1667

Since we cannot have a fraction of a counter, we can round x up to 3.

Therefore, the number of red counters in the bag is 2x = 2(3) = 6, and the number of blue counters in the bag is 5x + 9 = 5(3) + 9 = 24.

Finally, we can find the number of green counters in the bag by subtracting the number of red and blue counters from the total number of counters:

35 - 6 - 24 = 5

So there are 5 green counters in the bag.

In summary, there are 6 red counters, 24 blue counters, and 5 green counters in the bag, based on the given information.

To know more about ratio click here:

brainly.com/question/13419413

#SPJ4

the expectation of buying one ticket is $2

Expectation if a person buys one ticket A person is interested in buying a ticket for a lottery that offers one $1000 prize, one $500 prize, and five $100 prizes. One thousand tickets are sold at $3 each. The expected return is calculated using the following formula:

Expectation = (Probability of winning Prize 1 × Value of Prize 1) + (Probability of winning Prize 2 × Value of Prize 2) + (Probability of winning Prize 3 × Value of Prize 3)To determine the expectation, we must first determine the probability of winning each of the three prizes.

Since one thousand tickets are sold and only one person can win the first prize, the probability of winning the $1000 prize is 1/1000 or 0.001. Similarly, the probability of winning the $500 prize is 1/1000 or 0.001. Since five $100 prizes are available and only one person can win each prize, the probability of winning any one of the five $100 prizes is 5/1000 or 0.005.

Therefore, the expectation is calculated as follows: Expectation = (0.001 × $1000) + (0.001 × $500) + (0.005 × $100)Expectation = $1 + $0.50 + $0.50Expectation = $2Thus, the expectation of buying one ticket is $2. This means that the average value of a ticket is $2, and a person can expect to win $2 on average by purchasing a ticket. Since the cost of a ticket is $3, the expected return is less than the cost of the ticket, and therefore, it is not a good investment from a financial standpoint.

To know more about  probability refer here :

https://brainly.com/question/11234923

#SPJ11

Answer:

1+2=90° .so complementary angle

The maximum number of hours Connor can work in landscaping is 5 hours.

In mathematics, inequalities are statements that compare two values or expressions using inequality symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), and "!=" (not equal to).

Let's denote the number of hours Connor works in landscaping as x. Then we have the following system of inequalities:

x ≤ 15 - 12 (since Connor can work a maximum of 15 hours in total, and he already worked 12 hours walking dogs)

8(12) + 12x ≥ 160 (since Connor must earn no less than $160)

Simplifying the second inequality, we get:

96 + 12x ≥ 160

12x ≥ 64

x ≥ 64/12

x ≥ 5.33

Since we need to have a whole number of hours, the maximum number of hours Connor can work in landscaping is 5 hours. We can check that this satisfies both inequalities:

5 ≤ 15 - 12

5.33 (rounded up to the nearest whole number) × 12 + 8(12) = 68. 16 ≥ 160

Therefore,Let's denote the number of hours Connor works in landscaping as x. Then we have the following system of inequalities:

x ≤ 15 - 12 (since Connor can work a maximum of 15 hours in total, and he already worked 12 hours walking dogs)

8(12) + 12x ≥ 160 (since Connor must earn no less than $160)

Simplifying the second inequality, we get:

96 + 12x ≥ 160

12x ≥ 64

x ≥ 64/12

x ≥ 5.33

Since we need to have a whole number of hours, the maximum number of hours Connor can work in landscaping is 5 hours.

We can check that this satisfies both inequalities:

5 ≤ 15 - 12

5.33 (rounded up to the nearest whole number) × 12 + 8(12) = 68. 16 ≥ 160

Therefore, the answer is 5.

To learn more about inequalities, Visit

https://brainly.com/question/24372553

#SPJ1

Answer:

x=2.4

y=2.5

z=3.3

Step-by-step explanation:

6/5=1.2

1.2 = scale factor

x=2x1.2=2.4

y=3/1.2=2.5

z=4/1.2=3.3

The volume of the solid obtained by rotating the region bounded by the given curves about the y-axis is 8π cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curves y=x^2, y=0, x=0, and x=2 about the y-axis, we can use the disk method.

The steps are as follows:

STEP 1. Identify the radius of the disk:

Since the solid is obtained by rotating around the y-axis, the radius of the disk is the x-value.

To get the x-value in terms of y, solve the equation

y=x^2 for x: x = sqrt(y).

STEP 2. Set up the volume integral:

The volume of the solid is given by the integral of the cross-sectional area of the disks.

The area of a disk is A = πr^2, where r is the radius. In this case, r = sqrt(y), so A = π(sqrt(y))^2 = πy.

We will integrate this area function along the y-axis, from the lowest to the highest y-value on the curve.

The lowest y-value is y=0, and the highest y-value is given by y = (2)^2 = 4 (since x=2).

STEP 3. Evaluate the integral:

The volume integral is given by V = ∫[0, 4] πy dy.

To evaluate this, we find the antiderivative of πy:

(π/2)y^2.

Now, we apply the Fundamental Theorem of Calculus:
V = [(π/2)(4)^2] - [(π/2)(0)^2] = (π/2)(16) = 8π.

So, the volume of the solid obtained by rotating the region bounded by the given curves about the y-axis is 8π cubic units.

To know more about  Volume of the solids:

https://brainly.com/question/12649605

#SPJ11

The equation has a solution of -1

Algebraic expressions are defined as those expressions that are made up of variables, constants, factors, coefficients and terms.

They are also composed of mathematical operations, such as;

Also, note that linear equation are equations having the greatest degree of  x as 1.

An equation having a solution would have the x value.

From the equation given, we have that;

2x+2=x+1

collect the like terms

2x - x =1 - 2

subtract the values

x = - 1

Learn about linear equations at: https://brainly.com/question/2030026

#SPJ1

Answer:

Step-by-step explanation:

To find the difference between the temperatures, we need to subtract the night temperature from the day temperature.

Difference = Day temperature - Night temperature

Difference = 36.6°F - (-18.6°F) (Note: Subtracting a negative number is the same as adding the positive number)

Difference = 36.6°F + 18.6°F

Difference = 55.2°F

Therefore, the difference in temperature between day and night in the town is 55.2°F.

The range of scores is 0 to 10. Since everyone in the class scored 6 out of 10, the lowest possible score is 0 and the highest possible score is 10.

The range is the difference between the highest and the lowest of the  given scores. In this case, it's 4 (10-6).

Therefore, the range of scores is 0 to 10. It is important to note that the range is a measure of the spread of scores in a dataset, and in this case, the spread is from the lowest possible score of 0 to the highest possible score of 10.

Learn more about Range:

https://brainly.com/question/2264373

#SPJ4

The experimental probability of landing on blue is found by dividing the number of times blue was landed on by the total number of spins.

Experimental probability of landing on blue = Number of times blue was landed on / Total number of spins

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain. Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Therefore, the experimental probability of landing on blue is 4/9 or approximately 0.444 or 44.4% (rounded to the nearest tenth or percentage).

To learn more about “Probability” refer to the https://brainly.com/question/13604758

#SPJ11

Answer:

20.65

Step-by-step explanation:

Answer: 18.75%

Step-by-step explanation:

To find the percent increase, we need to calculate the difference between the new speed and the old speed, divide that by the old speed, and then multiply by 100 to get the percentage increase.

The difference between the new speed and the old speed is:

38 - 32 = 6

To find the percentage increase, we divide the difference by the old speed and multiply by 100:

(6 / 32) x 100 = 18.75%

Therefore, Matt's typing speed increased by 18.75%.

The second urn contains 16 green balls and 46 blue balls.

Let's first find the probability of drawing two green balls, which we'll denote as P(G,G).

We can break it down into two cases:

Case 1: A green ball is drawn from the first urn and a green ball is drawn from the second urn.

The probability of drawing a green ball from the first urn is 4/10, and the probability of drawing a green ball from the second urn is 16/(16+N). Therefore, the probability of this case is (4/10) x (16/(16+N)).

Case 2: A blue ball is drawn from the first urn and a blue ball is drawn from the second urn.

The probability of drawing a blue ball from the first urn is 6/10, and the probability of drawing a blue ball from the second urn is N/(16+N). Therefore, the probability of this case is

(6/10) x (N/(16+N))

The probability of drawing two balls of the same color is the sum of the probabilities of these two cases, which we know to be 0.58:

P(G,G) + P(B,B) = 0.58

We can solve for P(G,G) as follows:

P(G,G) = 0.58 - P(B,B)

= 0.58 - (6/10) x (N/(16+N))

Now, we can set P(G,G) equal to the probability of drawing two green balls from the urns that we found earlier:

(4/10) x (16/(16+N)) = 0.58 - (6/10) x (N/(16+N))

By simplifying this equation, we get:

64 = 58(16+N) - 60N

By solving for N, we get:

N = 46

for such more question on probability

https://brainly.com/question/24756209

#SPJ11

Question:

An urn contains 4 green balls and 6 blue balls. A second urn contains 16

green and N blue balls. A single ball is drawn at random from each urn. The probability that both balls are of the same colour is 0.58. Find N.

The surface area of the playhouse is 564 square feet.

Frank is building a playhouse for his daughter.

The playhouse is a composite figure with a floor and no windows.

The playhouse is a rectangular prism and a triangular prism.

The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh,

where l is the length,

w is the width,

and h is the height.

Therefore, the surface area of the rectangular prism portion of the playhouse can be calculated by substituting the given values into the formula.

Surface area of the rectangular prism = 2lw + 2lh + 2wh

For the rectangular prism, l = 10 feet, w = 8 feet, and h = 6 feet.

Substituting the values in the formula.

Surface area of the rectangular prism

= 2lw + 2lh + 2wh

= 2 (10 feet × 8 feet) + 2 (10 feet × 6 feet) + 2 (8 feet × 6 feet)

= 160 feet2 + 120 feet2 + 96 feet2= 376 feet2

The surface area of the rectangular prism of the playhouse is 376 square feet.

The formula for the surface area of a triangular prism is 2lw + lh + ph,

where l is the length, w is the width, h is the height, and p is the slant height.

Therefore, the surface area of the triangular prism portion of the playhouse can be calculated by substituting the given values into the formula.

Surface area of the triangular prism = 2lw + lh + ph

For the triangular prism, l = 8 feet, w = 5 feet, h = 6 feet, and p = 10 feet.

Substituting the values in the formula.

Surface area of the triangular prism = 2lw + lh + ph= 2 (8 feet × 5 feet) + (8 feet × 6 feet) + (10 feet × 6 feet)= 80 feet2 + 48 feet2 + 60 feet2= 188 feet2

The surface area of the triangular prism of the playhouse is 188 square feet.

The total surface area of the playhouse can be found by adding the surface area of the rectangular prism and the surface area of the triangular prism.

Surface area of the playhouse = surface area of rectangular prism + surface area of triangular prism.

= 376 square feet + 188 square feet

= 564 square feet.

For similar question on surface area.

https://brainly.com/question/28776132

#SPJ11