What is the highest degree of a polynomial
that can be used as a divisor in synthetic
division?

The equation which describes the relationship between the side length and shaded area of the quilt is y=0.5x²

Side length, x = 1,3,4,5,8

Shaded Area, y = 0.5, 4.5, 8, 12.5, 32

The relationship can be modeled as a quadratic function. Using a graphing calculator for the quadratic function written in the form y = ax² + bx + c

a = 0.5 ; b = 0 ; c = 0

Therefore, the quadratic function can be written as y = 0.5x²

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Answer:

1073.45 in²

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The equation to solve for the area of a circle is:

But wait, we don't have a radius to fix in the equation! Well to solve for the radius when given diameter, we can use the expression:

Now that we know this, we can insert 37 in for the diameter:

So, the radius of the circle is 18.5 inches.

Inserting 18.5 into the expression for the radius:

Using 3.14 for pi:

Therefore, the area of a circle with a diameter of 37 inches is 1073.45 in².

Answer:

Step-by-step explanation:

We are told that the perimeter is 48 = 2L + 2W.  This reduces to

24 = L + W.  Next, substitute, one by one, the 3 widths 10 cm, 3.6 cm and w cm:

a)  If W = 10 cm, 24 = L + W becomes 24 = L + 10, or L = 14 cm

b)  If W = 3.6 cm, 24 = L + W becomes 24 = L + 3.6, or L = 20.6 cm

c)  If W = w, 24 L + W becomes 24 = L + w, so that L = (24 - w) cm

given data:

Spongebob was trying to fill up Gary's bath with water. He noticed the tub filled up 1 gallon per minute.

to find what kind of data this is.

it is discrete because it is measurable. that is countiuse while countable.

Thus the answer is discrete.

Answer:

2,208 students

Step-by-step explanation:

Here's why: Using proportions.

13. x

--- =. ----

195. 33,120

Cross multiply

13 x 33,120 = 430,560

195 multiply x = 195x

430,560 divided by 195 = 2,208x = 2,208 students

Answer:

Step-by-step explanation:

Melonie,  k = 2*10,  is another way to look at this

I think you can get the answer now

k = 20 , if you're not sure

Answer:

Step-by-step explanation:

hello,

\(36=6*6=6^2\)

and

\((x+6)^2=x^2+12x+36\)

so the missing term is 12 to get a perfect square trinomial

hope this helps

Answer: The answer is "12".

Step-by-step explanation: Correct on edgen. (2022)

Answer:

8.25

Step-by-step explanation:

interest= principal x time x rate

1089=1100 x 12 x r/100

108900=13200r

r=8.25

Step-by-step explanation:

To find the rate, divide the number of heartbeats by the number of seconds.

You: 22 beats / 20 seconds = 1.1 beats per second.

Friend: 18 beats / 15 seconds = 1.2 beats per second.

The missing ordered pairs that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

The equation given is y = 2x + 4. To compute the missing x and y values, we need to substitute the given ordered pairs into the equation and solve for the missing variable.

Let's assume we have an ordered pair (x, y) that satisfies the equation y = 2x + 4.

For example, let's say one missing value is x = 3. We can substitute this into the equation:

y = 2(3) + 4

y = 6 + 4

y = 10

So, the missing ordered pair is (3, 10).

Similarly, if another missing value is y = 8, we can substitute this into the equation and solve for x:

8 = 2x + 4

4 = 2x

x = 2

So, the missing ordered pair is (2, 8).

In summary, the missing x and y values that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

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Answer:

I really do not know

Step-by-step explanation:

In U.S. dollars, the equivalent money will be $100.74

Given is your dinner in London cost 82 British pounds

Then in U.S. dollars, the equivalent money will be equivalent to -

x = 82 pounds = 82 x 1.2286 = $100.74

x = $100.74

Therefore, in U.S. dollars, the equivalent money will be $100.74

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The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

3/20.

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of at bats in this problem is given as follows:

80.

In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

12/80 = 3/20.

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Answer:

181 MP3 players

Step-by-step explanation:

Given data:

Replacement of MP3 that fail within 3 years

expected lifetime of MP3 = 5 years

number of MP3 players purchased = 1000

number of MP3 players replaced in the first year = ?

To determine the number of MP3 replaced in the first year we will employ this formula:

\(E(To) = \frac{1}{u} = e_{x} ^{0} =\int\limits^a_0 {po} \, dt\)

a = ∞

since the given problem is an exponential distribution

1/u = 5 hence u = 0.2

next we will determine the number of MP3's to fail in its first year of purchase

qo = failure

po = success

number of purchase = 1000

attached below is the remaining part of the solution

Answer:

308 Calories

Step-by-step explanation:

So we start off with 280 as usual, but I will focus on the percent. The given percent is 110% "effort". What we would need to do here is, Firstly, change the percent into a decimal, and this is done by moving the decimal spot of 110%. What I mean is that 110.% and you move that little period over 2 times to the left and also remove the percent as for now because we will not need it. After that you would get 1.10. This is what we will multiply by. So if we did 280x1.10 it equals 308, and that is how I got 308

Hope this helps!

Answer:you can often sleep more earlier to more things and try staying away from things that strain your eyes and take naps or breaks between work

Step-by-step explanation:

Answer:2

Step-by-step explanation:

I just know

Answer:

we have 22, 4, 4-2, or let me put in the hard way cause is fun:

2+2 is same as 2 to the power of 2 like 2 time itself twice, such as 2x2 or you can written as 2(2) and the answer would be 4

Step-by-step explanation:

The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.

To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:

Compound Interest =P(1+r/n)^rt

Substituting the given values, we get:

Compound Interest =600 (1+7/n)^4

Simplifying this equation, we get

P = 600 / 1.487

P = 451.73

Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.

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Answer:

it would be 5.41 x 10^2

Step-by-step explanation:

the reason it would be this is because when you have it ^2 you love the decimal that many places the same goes for the number was negative then you would move it backwards.

Answer:

The answer is 5.41 × 10^2

Step-by-step explanation:

To make sure the answer is right, picture a decimal on the right of the 1 in the numeral. Then, picture it going to the left until it's next to the 5. Since it moved twice, the exponent is 2 and the decimal is 5.41. Hope this helps!

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

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Answer: In that equation, the -30 represents the rate of change.

Step-by-step explanation

Answer:

Step-by-step explanation:

Each hour, Jim does 1/3 of the job if working alone.

Each hour, John does 1/5 of the job if working alone.

Let x = number of hours to do the job if they work together.  So, each hour, they do 1/x of the job when they work together.

We get the equation:  1/3 + 1/5 = 1/x

Multiply the equation by the LCD, 15x:   5x + 3x = 15

                                                                             8x = 15

                                                                               x = 15/8 = 1 7/8 hrs

ANSWER:  (C).  

Answer:

2. C. 50.3 ft²

3. A. 75.4 ft²

Step-by-step explanation:

The lateral surface area of a cylinder is the area of the curved surface of the cylinder. It is calculated by multiplying the circumference of the base by the height of the cylinder. The formula for the lateral surface area of a cylinder is:

Lateral Surface Area = 2πrh

Where:

The total surface area of a cylinder is the area of the lateral surface plus the area of the two circular bases. The formula for the total surface area of a cylinder is:

Total Surface Area = 2πrh + 2πr^2

Where:

2.

r=2 ft

h=4 ft

Lateral Surface Area = 2πrh=2*22/7*2*4=50.3 ft²

3.

Total Surface Area = 2πrh + 2πr^2=2*22/7*2*4+2*22/7*2

=50.3+25.1=75.4 ft²

The pieces of string that Li is 3.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, Li needs 15 pieces of string each 1/2 of a inch long and she cut a 6-inch piece of string into pieces that are each 1/2 of an inch long.

The fraction cut will be:

= 6 ÷ 1/2

= 6 × 2

= 12

The remaining pieces will be:

= 15 - 12

= 3

Therefore, 3 pieces are needed.

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To find the polar equation of a conic with focus at the pole, directrix y=3, and eccentricity of 2, we can use the definition of a conic in polar coordinates.

The general form of the polar equation for a conic with focus at the pole is given by:

r = \(\frac{ed}{1+e\cos(\theta-\theta_0)}\)

Where:

- r is the distance from the origin (pole) to a point on the conic.

- e is the eccentricity.

- d is the distance from the pole to the directrix.

- θ is the angle between the polar axis and the line connecting the pole to a point on the conic.

- θ_0 is the angle between the polar axis and the line connecting the pole to the focus.

In this case, the focus is at the pole, so θ_0 = 0. The directrix is y = 3, which means its distance from the pole is d = 3. The eccentricity is given as 2, so e = 2.

Substituting these values into the general equation, we get:

r =\(\frac{2\cdot3}{1+2\cos(\theta-0)}\)

Simplifying further:

r =\(\frac{6}{1+2\cos(\theta)}\)

Therefore, the polar equation of the conic with focus at the pole, directrix y=3, and eccentricity of 2 is:

r =\(\frac{6}{1+2\cos(\theta)}.\)

This equation describes the shape of the conic in polar coordinates, where r represents the distance from the origin to a point on the conic, and θ represents the angle between the polar axis and the line connecting the origin to the point.

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Answer:

\(P = (2,5)\)

Step-by-step explanation:

Given

\(A(-4,8)\)

\(B(6,3)\)

\(m:n = 3 : 2\)

Required

Determine P

Since P divides the segment into 3:2, P is calculated using

\(P = (\frac{nx_1 +m x_2}{m+n},\frac{ny_1 + my_2}{m+n})\)

Where

\((x_1,y_1) = (-4,8)\)

\((x_2,y_2) = (6,3)\)

\(m:n = 3 : 2\)

Substitute these values in the above formula:

\(P = (\frac{2 * -4 +3 * 6}{3 + 2},\frac{2 * 8 + 3 * 3}{3 + 2})\)

\(P = (\frac{-8 +18}{3 + 2},\frac{16 + 9}{3 + 2})\)

\(P = (\frac{10}{5},\frac{25}{5})\)

\(P = (2,5)\)

Answer:

\(3x>-24\)

Step-by-step explanation:

Given

\(-4x+2<-22-x\)

Required

Solve for x

\(-4x+2<-22-x\)

We start by taking like terms

\(-4x + x < -22 - 2\)

\(-3x < -24\)

Divide through by -1: Note, the inequality sign will change:

\(3x>-24\)