Graph each function by using a table f(x)=x^2-3x+1

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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Answer:

Since the z score for the male is z=-2.1589 and the z score for the female is z=-2.6844​, the female has the weight that is more extreme.

Step-by-step explanation:

To find the z score, we use the following equation:

\(z=\frac{x-m}{s}\)

Where m is the mean and s is the standard deviation.

So, the z score for a male who weighs 1700 g is:

\(z=\frac{1700-3259.6}{722.4}=-2.1589\)

At the same way, the z score for a female who weighs 1700 g is:

\(z=\frac{1700-3031.2}{495.9}=-2.6844\)

Finally, -2.6844 is farther from zero than -2.1589, so the female has the weight that is more extreme.

Answer:

21/8

Step-by-step explanation: So in 1 day Peter walks 7/8 of a mile. You take 3 and make it 3/1 then mutiply it by 7/8. Your final answer is 21/8 miles or 2 5/8

Answer:

without any questions i cant answer

Step-by-step explanation:

the value of the investment when she retires is $26434.92.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

here, we have,

given that,

Leilamade a one-time investment of $12 000.00 in a

registered retirement savings plan (RRSP) at 2.65%, compounded

semi-annually.

She plans to withdraw the money when she retires in 30

years.

So, she get finally is,

using the formula we get,

$26434.92

hence,  the value of the investment when she retires is $26434.92.

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The  number of 50¢ coins is 200, number of  25¢ coins is 360

and number of  10¢ coins is 160.

The quantitative relation between two or more amounts showing the number of times one value is contains or contained within other.

Now the given ratio is 5 : 9 : 4.

and total amount of the coins is $206.

There are three types of coins in the bag, 50¢, 25¢ and 10¢.

Suppose x be the the ratio of coins in the bag.

Hence, number of  50¢ coins = 5x

number of  25¢ coins = 9x

number of  10¢ coins = 4x

Now, given total amount = $206

and since $1 = 100¢

⇒ ($0.5)(5x) + ($0.25)(9x) + ($0.1)(4x) ¢ = $206

Solving them,

⇒ 2.5x + 2.25x + 0.4x = 206

⇒ 5.15x = 206

⇒ x = 40

Therefore,

number of  50¢ coins = 5*40 = 200

number of  25¢ coins = 9*40 =  360

number of  10¢ coins = 4*40 =  160

Hence, number of 50¢ coins is 200, number of  25¢ coins is 360

and number of  10¢ coins is 160.

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Answer:

Step-by-step explanation:

If the diameter is 4 meters, then the radius has to be 2 because the radius is half of the diameter.

0.771 BTU/cubic ft

Step-by-step explanation:

Volume = 120*35*20 = 84,000cubic ft

Total BTU's = 2,400* 27 = 64,800BTU

64,800 BTU / 84,000 cu ft = 0.771 BTU/cubic ft

Answer:

Step-by-step explanation:

-7-9=-16

Answer:

Yes it can

Step-by-step explanation:

7+7=14 greater than 5

7+5=12 greater than 7

7+7=14 greater than 5

A traingle can be construct with these side lengths. (Can I have brainliest)

The vertex form of the equation is y = 3(x + 2)^2 - 5

The equation is given as:

y = 3x^2 + 12x + 7

Set to 0

3x^2 + 12x + 7 = 0

Subtract 7 from both sides

3x^2 + 12x = -7

Divide through by 3

x^2 + 4x = -7/3

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

Take the coefficient of x

k = 4

Divide by 2

k/2 = 2

Square both sides

(k/2)^2 = 4

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

So, we add 4 to both sides of x^2 + 4x = -7/3

x^2 + 4x + 4 = -7/3 + 4

Express as perfect square

(x + 2)^2 = -7/3 + 4

Multiply through by 3

3(x + 2)^2 = -7 + 12

Evaluate

3(x + 2)^2 = 5

Subtract 5 from both sides

3(x + 2)^2 - 5 = 0

Rewrite as

y = 3(x + 2)^2 - 5

Hence, the vertex form of the equation is y = 3(x + 2)^2 - 5

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Answer:

B) π

Definition

A number is said to be Irrational if it cannot be expressed as a terminating or repeating decimal.

From the given options

• Option A when converted to a decimal number is a repeating decimal.

• Option C is also a repeating decimal

• Option D (1.5) is a Terminating decimal.

Therefore, the only number which is Irrational is π since it neither terminates nor repeats (or recur).

Answer:

1).

Difference = $6

Interest rate= 4.03%

2).diffrence = $97

Interest rate = 14.37%

3). Difference = $7

Interest rate= 4.67%

4). difference= 191

Interest rate= 9.6%

5). Difference= 2.25

Interest rate= 3%

6). Difference=$ 302

Interest rate=9.12%

Step-by-step explanation:

1).$10 per months for 15 months

= 10*15=$150

PLus a down payment of $5= $155

Interest = 155-149= $6

Interest rate = 6/149*100= 4.03%

2.)$120.00 per month for 6 months

= 120*6=$ 720

Plus a down payment of $52=$772

Interest= 772-675= $97

Interest rate = 97/675 *100= 14.37%

3). $12.00 per month for 11 months

= 12*11= 132 plus down payment of $25

= $157

Interest= 157-150= $7

Interest rate=7/150 *100= 4.67%

4).$74.00 per month for 24 months

= 74*24=$1776

Plus a down payment of $400=$ 2176

Interest= 2176-1985= 191

Interest rate= 191/1985*100= 9.6%

5).$4.75 per week for 11 weeks

= 4.75*11=$52.25

Plus a down payment if $25

= 25+52.25=$ 77.25

Interest= 77.25-75= 2.25

Interest rate= 2.25/75 *100= 3%

6).$300 a month for 10 months

= 300*10= $3000

Plus a down payment of $600

= $3600

Interest=3600-3298= 302

Interest rate= 302/3298 *100=9.12%

Answer: w=6

Step-by-step explanation: 1. Simplify. Distribute the -4 to the w and the -3. -4*w is -4w and -4*-3 is +12, so your left with 3w-4w+12=6.

2. simplify again. 3w-4w is -w.

3. -w+12=6. Subtract w to both sides, so its -w=-6. The negatives cancel out, so w just equals 6.

It is proved that m = √n.

To prove that given a nonnegative integer n, there is a unique nonnegative integer m, we just need to take the square root of the given equation:

m^2 ≤ n < (m + 1)^2.

So, after taking the square root, it will be:

m ≤ √n < m + 1

From that we can see m = √n is the unique m.

A nonnegative integer is an integer which is either positive or zero. It is the union of the natural numbers and the number zero. Occasionally, it is referred to as Z*, and it can be described as the set {0, 1, 2, 3, 4, 5, …}. In other words, nonnegative integers are integers that are not negative.

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Although part of your question is missing, you might be referring to this full question: Prove that given a nonnegative integer n, there is a unique nonnegative integer m such that m^2 ≤ n < (m+1)^2.

Answer:

2 units

Step-by-step explanation:

vertical distance will be the magnitude of the difference in the 'y' coordinates

| -.8 - 1.2| = 2 units

Answer:

C

Step-by-step explanation:

Because its not a straight line

Answer:

45

Step-by-step explanation:

-45 + 30 gives you -15. When subtractinf a negative number, it actually turning into addition/positive. This changes it into -15 + 60, which is 45.

Answer: 45

Step-by-step explanation:

-45+30-(-60)=
First, times the negative 60 with the negative outside the parenthesis.

-45+30+60

60+30=90

90-45=45

Answer: 45

Answer:

\(x = 1.5\) , \(x = 1\)

Explanation:

\(x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a}\)

equation:  

Here the a = 2 , b = -5 , c = 3

using the equation:

\(\hookrightarrow x = \dfrac{ -(-5) \pm \sqrt{(-5)^2 - 4(2)(3)}}{2(2)}\)

\(\hookrightarrow x = \dfrac{ 5 \pm \sqrt{1}}{4}\)

\(\hookrightarrow x = \dfrac{ 5 +\sqrt{1}}{4}\) , \(x = \dfrac{ 5 -\sqrt{1}}{4}\)

\(\hookrightarrow x = \dfrac{ 5 +1}{4}\) , \(x = \dfrac{ 5 -1}{4}\)

\(\hookrightarrow x = \dfrac{ 6}{4}\)  ,  \(x = \dfrac{ 4}{4}\)

\(\hookrightarrow x = 1.5\) , \(x = 1\)

Answer:

x=122

Step-by-step explanation:

a) The inequality for the expression 2z + 9 is 2z + 9 > 13.

b) The inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The inequality for the expression 4 + 2z is 4 + 2z > 8.

d) The inequality for the expression 5(3z - 2) is 15z - 10 > 20.

a) To write an inequality for the expression 2z + 9, we can multiply the given inequality z > 2 by 2 and then add 9 to both sides of the inequality:

2z > 2 * 2

2z > 4

Adding 9 to both sides:

2z + 9 > 4 + 9

2z + 9 > 13

Therefore, the inequality for the expression 2z + 9 is 2z + 9 > 13.

b) For the expression 3(z - 4), we can distribute the 3 inside the parentheses:

3z - 3 * 4

3z - 12

Since we are given that z > 2, we can substitute z > 2 into the expression:

3z - 12 > 3 * 2 - 12

3z - 12 > 6 - 12

3z - 12 > -6

Therefore, the inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The expression 4 + 2z does not change with the given inequality z > 2. We can simply rewrite the expression:

4 + 2z > 4 + 2 * 2

4 + 2z > 4 + 4

4 + 2z > 8

Therefore, the inequality for the expression 4 + 2z is 4 + 2z > 8.

d) Similar to the previous expressions, we can distribute the 5 in the expression 5(3z - 2):

5 * 3z - 5 * 2

15z - 10

Considering the given inequality z > 2, we can substitute z > 2 into the expression:

15z - 10 > 15 * 2 - 10

15z - 10 > 30 - 10

15z - 10 > 20

Therefore, the inequality for the expression 5(3z - 2) is 15z - 10 > 20.

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Answer:

5 yd

Step-by-step explanation:

a = l x w

w = a ÷ l

w = 80 ÷ 16

width = 5 yd

Answer:

Gina has 5 large shipping boxes and 6 small shipping boxes.

Step-by-step explanation:

32 items to ship and 11 shipping boxes.

Large=4 items

4 X 5 = 20

Small=2 items

2 X 6 = 12

20 + 12 = 32

The surface area of the base ball to the nearest whole number is 26 in²

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

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If the purchases of streamed music can be modeled by function f(t) = 3.7+0.84 ln(t+1)

Part a

The amount spent by consumers on streamed music in 2014 is 4.62 billion

Part b

The amount spent by consumers on streamed music changing in 2014 at the rate of 0.28 billions per year

The purchases of streamed music  model

f(t) = 3.7+0.84 ln(t+1)

Where f(t) is measure in billion of dollar

t is the measured in years

Part a

We have to find the amount spent by consumer on streamed music in 2014.

t = 0 corresponding to the year 2012

Then 2014 corresponding to t = 2

Substitute the value of t in the equation

f(2) = 3.7+0.84 ln(2+1)

f(2) = 3.7+0.922

f(2) = 4.62 billion

Part b

Differentiate the model with respect to x

f'(t)  = 0.84×\(\frac{1}{t+1}\)

t = 2

Substitute the value in the equation

f'(2) = 0.84×\(\frac{1}{2+1}\)

f'(2) = 0.28 billions per year

Hence, if the purchases of streamed music can be modeled by f(t) = 3.7+0.84 ln(t+1)

Part a

The amount spent by consumers on streamed music in 2014 is 4.62 billion

Part b

The amount spent by consumers on streamed music changing in 2014 at the rate of 0.28 billions per year

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The two tanks differ in terms of Filling rates and initial volumes.

We can work with the equation for tank A, which represents a linear relationship between the volume of liquid in the tank (y) and the time it has been filling (x).

The equation y = 75x + 110 tells us that the tank A is filling at a constant rate of 75 units per minute, starting with an initial volume of 110 units.

To analyze the data for tank B, we would need to know the volumes of the tank at different times as it is being filled.

If the relationship for tank B is also linear, we could find the equation that represents it by using two points from the table and the slope-intercept form of a linear equation (y = mx + b). Once we have both equations, we can compare them to see how the two tanks differ in terms of filling rates and initial volumes.

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Answer:

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

Collinear points are the points on the same line.

There are two lines in the diagram.

The collinear points:

The points that are collinear are  D,G and E  and another set of points which are collinear are L,G and J.

The points which lie on the same straight line are known as collinear points.

Similarly, if three or more number of points are collinear then they form a straight line.

If we observe the figure, the points D,G and E are collinear points as they are on same line.

Similarly the points L, G and H are in the straight line which makes them collinear.

Therefore , the points L,G and J are collinear points.

Hence, the points that are collinear are  D,G and E and another set of points which are collinear are L,G and J

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Answer:

x = 6

Step-by-step explanation:

We want to find x,

\(\frac{3}{5} = \frac{x}{10}\)

to get x alone, we multiple both side by 10

\(\frac{3}{5} * 10 = \frac{x}{10} *10\)

\(\frac{30}{5} = x\)

30 divided by 5 is 6

Check:

We can see that 5 x ____ = 10 where ____ is 2

5 x 2 = 10

so 3 x 2 = 6

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Answer:

13

cuz one of those square part = to 90 degrease

so 77 degrease is already shown so minus 90-77

and u get 14

Answer:

x = 13°

Step-by-step explanation:

Angles 77° and BGE are vertical and thus equal angles.  Angle x and BGE are complementary angles; thus, x + 77° = 90°.  Solving this for x, we get:

x = 13°

Answer:

14 16,18,20 22,24

so, 6 out of 24

6/24 simplifies to 1/4