The remainder obtained when x⁴ +15x³ +6x² - 12x + 3 is divided by (x+2) is____.​

Answer:

Modeling the situation with a quadratic equation, it is found that:

The maximum height of the ball is of 60.2 feet.

The ball hits the ground after 3.39 seconds.

Considering the gravity, the height of the ball, after t seconds, is given by the following quadratic equation.

In which:

is the initial velocity.

is the initial height.

In this problem:

Height of 8 feet, thus .

Initial velocity of 32 feet per second,  

The equation is:

Which is a quadratic equation with .

The maximum height is the output of the vertex, which is:

Then, with the coefficients of this question:

The maximum height of the ball is of 60.2 feet.

It hits the ground at t for which , thus:

We want the positive value, so:

The ball hits the ground after 3.39 seconds.

A similar problem is given at brainly.com/question/24626341

Step-by-step explanation:

Answer:

32.24

Step-by-step explanation:

Answer:

x=3.50

Step-by-step explanation:

6(x+7.50)=4(2x+9.50)

6x+45=8x+38

6x-8x=38-45

-2x = -7

x = -7/-2

x = 3.50

Answer:

20v-6

Step-by-step explanation:

To find the perimeter we have to add up all of our sides

9v-6+9v-6+2v+6

Combine light terms

20v-6

Answer:

4.7kg

Step-by-step explanation:

since when ready it is 7.3

subtract

7.3_2.6

Therefore the answer is4.7kg

Answer:

Well 35 chickens. Each produce 3 eggs a day. 35*3= 105

105 eggs per day

Answer:

105 eggs

Step-by-step explanation:

Number of eggs per day = number of chickens x eggs per chicken

35 x 3 = 105

105 eggs

-Chetan K

Answer:

[tex]10 + (n - 1) 8[/tex]

Step-by-step explanation:

All arithmetic sequence can be written as:

[tex]a_{n} = a_{1} + (n - 1)d[/tex]

Where [tex]a[/tex] is the [tex]n^{th}[/tex] term of the sequence, [tex]a_{1}[/tex] the first term of the sequence and [tex]d[/tex] the common difference between terms.  

So in our sequence we have [tex]a_{1} = 10[/tex] and for find the difference substract two sequence terms.

[tex]d = a_{n+1} - a_{n} = 18 - 10 = 8[/tex]

Now replace the knowns terms in the general form:

[tex]a_{n} = 10 + (n - 1)8[/tex]

The simplified formula for the given arithmetic sequence is:

a(n) = a + 8 (n - 1)

It is a sequence where the difference between each consecutive term is the same.

We have,

The common difference between any two consecutive terms in an arithmetic sequence is constant.

In this case, the common difference is 8, as each term is obtained by adding 8 to the previous term.

Let the first term of the sequence be 'a', then the second term is 'a + 8', the third term is 'a + 16', and so on.

Therefore, the nth term of the sequence can be expressed as:

a + (n-1)d

where d is a common difference, which is 8 in this case.

So, the simplified formula for the given arithmetic sequence is:

a(n) = a + 8 (n - 1)

where a is the first term of the sequence and n is the position of the term in the sequence.

Thus,

The simplified formula for the given arithmetic sequence is:

a(n) = a + 8 (n - 1)

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Answer:

https://youtu.be/4yp5v64XuRc

Step-by-step explanation:

This is a very good video on to do it, it's hard to explain just typing it on here. I'm sorry.

Answer: 131

Step-by-step explanation:

Step-by-step explanation:

4/5 + 2/3 = 2215 = 1 715 ≅ 1.4666667. Spelled result in words is twenty-two fifteenths (or one and seven fifteenths).

Answer:

5/10's

Step-by-step explanation:

Trust me bro

Answer:

Step-by-step explanation:

The stumbling block for most people is what exactly do you do the what's in the brackets of something like g(x+ 4) = 2x

The answer is, whatever you see on the left side where g(x) gets modified, you put on the right side wherever you see an x.

In this question

H( x) = x ^2

So if you see anything besides x on the left, then that's what goes on the right for x.

H(x + a) - H(x)/a = (x + a)^2 - (x^2)/a

You can expand this, but I don't see a reason for doing it.

H(x + a) - H(x)/a = (x + a)^2 - (x ^2)/a = x^2 + 2a + a^2 - x^2/a which gets you nowhere.

Answer:

15% 15%

Step-by-step explanation:

it was correct for me

The percent error of Li’s guess is 15%

"It is the absolute difference between an observed value and the actual value."

"It is the ratio of the absolute error of the measurement to the actual value."

"It is the relative error multiplied by 100."

For given example,

Li’s guess is 345 jelly beans.

observed value (E) = 345

The actual number of jelly beans is 300

actual value (A) = 300

So, the absolute error is,

Absolute error = |E - A|

                        = | 345 - 300|

                        = 45

Now, we find the relative error of Li's guess.

Relative error = 45 ÷ 300

Relative error = 0.15

The percent error is,

0.15 × 100 = 15%

Therefore, the percent error of Li’s guess is 15%

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Answer:

The graph is linear and increasing from x = -6 to x = -2.

The graph is nonlinear and decreasing from x = -2 to x = 0.

Step-by-step explanation:

Linear means it has a constant slope, or a constant rate of change. That makes a straight line on a graph. On the given graph, you can see the straight line increasing from x = -6 to x = -2.

Non-linear is just anything that isn't a constant slope, and makes a curve on a graph. On the given graph, the curve decreases from x = -2 until x = 0, where it reaches its lowest point and starts heading upwards again.

One pipe takes 6 hours working alone.

The other pipe takes 12 hours working alone.

This is a rate of work problem. The formula utilized is

[tex]w=r\times t[/tex]

where

We are looking for how long it will take each pipe to completely fill the pool

For pipe 1 working alone to fill 1 pool, the work done is 1;

[tex]w=r\times t\\\\1 = r_1 \times t_1\\\\t_1=\frac{1}{r_1}[/tex]

For pipe 2 working alone to fill 1 pool, the work done is 1;

[tex]w=r\times t\\\\1 = r_2 \times t_2\\\\t_2=\frac{1}{r_2}[/tex]

From the question, it would take 9 hours if each pipe took turns to fill half the pool. That is;

[tex]\frac{t_1}{2}+\frac{t_2}{2}=9\\\\t_1+t_2=18[/tex]

However, if both pipes worked together, it would take 4 hours for each pipe. That is;

[tex]w_1+w_2=w\\\\r_1t_1+r_2t_2=w\\\\4r_1+4r_2=1\\\\r_1+r_2=\frac{1}{4}[/tex]

Remember that [tex]r_1=\frac{1}{t_1}[/tex] and [tex]r_2=\frac{1}{t_2}[/tex]. So,

[tex]\frac{1}{t_1}+\frac{1}{t_2}=\frac{1}{4}\\\\\frac{t_1+t_2}{t_1t_2}=\frac{1}{4}[/tex]

Also recall that [tex]t_1+t_2=18[/tex]. So,

[tex]\frac{18}{t_1t_2}=\frac{1}{4}\\\\t_1t_2=72[/tex]

The only factors of 72 that satisfy the conditions

[tex]t_1+t_2=18\\\\t_1t_2=72[/tex]

are 6 and 12.

Therefore, pipe 1 will take 6 hours, and pipe 2 will take 12 hours to fill the pool if working alone.

The link below has a similar problem on rate of work

https://brainly.com/question/21485928

Answer:

18/12

Step-by-step explanation:

Answer:

5/3 or u could make it 5/4 since only 2 n 4 can have 2468 u cant put 4 back

Step-by-step explanation:

Answer:

1.23 x 10^-2

Answer:

1/1000

Step-by-step explanation:

141 degrees hope this helps u

The measure of the angle will be 141°. Then the correct option is B.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A protractor is used on an angle one ray of the angle is 46 degrees and the other way is 95 degrees.

The diagram is shown below.

Then the measure of the angle will be given as,

⇒ 46° + 95°

⇒ 141°

The measure of the angle will be 141°.

Then the correct option is B.

More about the angled link is given below.

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Answer:

1.20833333333

Answer:

side lengths are 96 for HI and PQ and 64 for IJ and RQ

hypothenuse is 115

Step-by-step explanation:

delta HIJ = delta PQR

HI = PQ   -->   3x = x + 64

divide both sides by x --> 3 = x/x + 64/x      *x/x = 1

3 = 1 + 64/x subtract both sides by 1

2 = 64/x --> 2x = 64 divide both sides by 2

x = 32

IJ = RQ --> x + 32 = 2x

divide both sides by x

1 + 32/x = 2 (again, x/x = 1)

subtract both sides by 1

32/x = 1

x = 32

plug in 32 for x to get the side lenghts

so 3(32) = 96

and 32 + 32 = 64

use equation a^2 + b^2 = c^2

96^2 + 64^2 = c^

9216 + 4096 = c^2

13312 = c^2        square root 13312

c = 115.378

Answer:

$7346.64

Step-by-step explanation:

Amount after 5years=P(1+r/100)^t

let A = amount after 5years

A=$5000(1+8/100)^5

A=$7346.64 to 2 decimal places

Answer: The average temperature on Earth has risen.

Step-by-step explanation:

If you look at the graph, you can see that the average for temperature on Earth has risen since 1800s through 2000s

For the total multiply the amount by 1 + the meal tax:

25.30 x 1.08 = $27.32

Answer: $27.32

Answer:

the answer is number 1 make my answer brainlist answer

Answer:

an = a1 + 6(n-1)

Step-by-step explanation:

a1 = -9, a5= 15, a10 = 45

Since is an arithmetic sequence we only add or subtract something to get to the next term. Since we got from -9 to 15 we know that we must add something and that we add it 4 times the same amount to get from -9 to 15.

a1= -9

a2= -9+6 = -3

a3= -3+6 = 3

a4= 3+6 = 9

a5= 9+6 = 15

We add 6 each time.

The explicit formula is an = a1 + 6(n-1) because

for example a5 = a1 the first term + 6* (5-1) times

                    a5 = -9 + 6* 4 = -9 + 24 = 15✅

                    a10 = a1 + 6* (10-1)

                    a10 = -9 + 6*9 = 45✅

Answer:

x = 66

Step-by-step explanation:

Have a nice day

Answer:

y=3/2x+18

Step-by-step explanation:

Hi there!

We are given a point (-6,9) and a slope of 3/2

We want to write the equation of this line in slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y intercept

Since we already know the slope of the line as 3/2, we can substitute it as m into the equation:

y=3/2x+b

Now let's find  b

Since the equation of the line passes through (-6,9), we can use it to help solve for b

Substitute -6 as x and 9 as y:

9=3/2(-6)+b

Multiply

9=-9+b

Add 9 to both sides

18=b

Substitute 18 as b into the equation.

y=3/2x+18

Hope this helps!

[tex]a + 3 \dfrac 14 = 5 \dfrac 29\\\\\\\implies a + 3 + \dfrac 14 = 5 + \dfrac 29\\\\\\\implies a+ \dfrac {13}4 = \dfrac{47}9\\\\\\\implies a = \dfrac{47}9 - \dfrac{13} 4 = \dfrac{188-117}{36} = \dfrac{71}{36} = 1 \dfrac{35}{36}[/tex]

Answer:

Slope: -3/2

Y-Intercept: (0,-9)

Step-by-step explanation:

Answer:

(4, 4)

Step-by-step explanation:

y = 7/4 x - 3       graph (0, -3) (2, .5), (4, 4) (8, 11).  Draw the line

y = x                        graph (0,0)  (2, 2), (4, 4) , ( -2, -2).  Draw the line

The two lines intersect at point (4, 4)