Use what you know about decomposing fractions to write 11/10 as a mixed number

The possible roots of the cubic polynomial 9x³ + 14x² - x + 18 are 1, 2, and 3.

The rational root theorem explains how a polynomial's roots and coefficients are related. It explains the kind of rational roots that the polynomial might have in particular.

According to the rational root theorem, the possible roots of a polynomial of degree three and above are,

± (coefficient of the last term)/(coefficient of the first terms).

Given, A polynomial 9x³ + 14x² - x + 18 it is a cubic polynomial so it should have three roots they could be,

The factors of the constant term divided by the factors of the first terms,

So, 18 has factors ± (1, 2, 3, 6, 9, 18) and 9 has factors ± (1, 3, 9).

So, The possible roots are ± (1, 2, 3) and so on.

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Answer:

= 18√2

decimal =25.45584412

Answer:

$4.37 is a possibility to the answer

Answer:

they ate 6 pizza

Step-by-step explanation:

༼ つ ◕‿◕ ༽つ

Answer:

The radius of the sphere is 12 inches.​

Step-by-step explanation:

V = 4/3 · pi · r³

r³ = 1728

r = 12

Answer:

Step-by-step explanation:

From the given information:

Assuming we have an integer c to represent the components in the stocks.

Thus, the needed probability can be expressed as:

[tex]P(X_1+X_2+ ........ X_c \ge 2000)[/tex]

To break this down, we have:

[tex]P(\sum X_i \ge 2000) = P \Bigg(\dfrac{\sum X_i - 100n}{\sqrt{n \ Var (X)}} \ge \dfrac{2000-100 n }{\sqrt{n \times 900}} \Bigg )[/tex]

[tex]P \Bigg(\dfrac{\sum X_i - 100n}{\sqrt{n \ Var (X)}} \ge \dfrac{2000-100 n }{\sqrt{n \times 900}} \Bigg )= P (Z \ge 0.95 ) \ \ \ because \ Z_{0.05} = -1.65 \\ \\ \\ \dfrac{2000-100 n }{\sqrt{n \times 900}} = -1.65 \\ \\ \\ \dfrac{100\ n-2000 }{\sqrt{900n}} = 1.65 \\ \\ 100 n -1.65 \sqrt{900 n }-2000 = 0[/tex]

By solving the equation:

n = 23

Thus, relating to the needed condition; n ≥ 23

The needed number of the components that should be in stock should be  at least 23.

Answer:

54.4

Step-by-step explanation:

g(20) = 19.6 + 1.74 (20)

g(20) = 19.6 + 34.8

g(20) = 54.4

Answer:

m<D should also be 98° due to the congruent angles theorem

Answer:

98

Step-by-step explanation:

Sides AB and DC are parallel.

Sides AD and BC are parallel.

Quadrilateral ABCD is a parallelogram.

Opposite angles of a parallelogram are congruent.

m<D = m<B = 98°

Answer: 98

Answer:

It's (E) ..................

Answer:

E

Step-by-step explanation:

Answer:

the lowest score that she can get on the las test and still get a B​ is 83

Step-by-step explanation:

x= score needed

(82+76+84+75+x) / 5 = 80

(317+x)/ 5 = 80

Cress multiplication

317 +x = 5 x 80

317 + x = 400

x = 83

317 + 83 = 400

400/5 = 80

Answer:

1.252

Step-by-step explanation:

5 and up round up 4 and below round down

Answer:

A. a and β

Step-by-step explanation:

I calculated it logically

(a) [tex]10(1.02)^t[/tex], and b) [tex]10(1.05)^t[/tex] are the formulas that represent II and IV in the graph.

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
We know that the intercept of both II and IV is 10.

If we substitute t = 0 into the exponential formulas, we get the initial value or y-intercept of the graphs. Therefore, the formula that gives an initial value of 10 is a candidate for representing II and IV.

Out of the given options, the formula that gives an initial value of 10 is (a) [tex]10(1.02)^t[/tex] and b) [tex]10(1.05)^t[/tex].

Therefore,  (a) [tex]10(1.02)^t[/tex], and b) [tex]10(1.05)^t[/tex] are the formulas that represent II and IV in the graph above.

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Answer:

157 cm^2

Step-by-step explanation:

1) find the radius

radius = side of the square /2 = 10 /2 = 5 cm

2) notice that four semicircles are equals  to two circles

3) find the area of the shaded region

A = radius^2 x pi x 2 = 5^2 x pi x 2 = 157 cm^2  (round the nearest whole number)

Answer:

30 meters squared

Step-by-step explanation:

First of all, we need to split the shape into different shapes. In this case, two triangles and a rectangle. We know that the triangle on the left has a height of 3 meters, and a width of 3 meters, and the formula for the area of a triangle is:

(b*h)/2 = A

So, we can plug in the values:

(4*3)/2 = A

Then, solve.

12/2 = A

6 = A

So, the triangle on the left is 6 meters squared. There is another copy of that triangle, so that means that both of the triangles combined is:

6*2 = 12 meters squared

Lastly, we need to find out the middle rectangle, which is 6 meters by 3 meters. The area of a rectangle is:

L*W = A

Plug the values...

6*3 = 18 square meters

So, the rectangle is 18 meters squared.

Our last step is to add the area for all the shapes. That would be:

12 + 18 = 30 meters squared.

Therefore, the area of this shape is 30 meters squared. Hope this helps!

Answer: y=20-2x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Triangle JKL is a 51-51-78 triangle, since the angles in a triangle must add up to 180°. Since triangle PQR is similar to triangle JKL, it must also be a 51-51-78 triangle. Since corresponding sides in similar figures are in proportion, we can set up a proportion to find the length of PR:

(PR)/(JK) = (PQ)/(JL) = (36)/(18)

Cross multiplying and solving for PR, we find:

PR = (JK) * (PQ)/(JL) = 18 * 36/18 = 36

Answer:

3km

hope this helps

have a good day :)

Step-by-step explanation:

Answer:  56

Step-by-step d

The combinations with repetition are allowed is 330

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items, where the order of the items is not fixed.

Given that, we need to find the number of combinations with repetition are allowed if n = 8 and r = 4

Combinations with repetition = C'(n, r) = (r+n-1)! / (r!(n-1)!)

= (8+4-1)! / 4!(8-1)!

= 11! / 4!7!

= 330

Hence, the combinations with repetition are allowed is 330

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Answer: 240 Calories are from Carbohydrates

Step-by-step explanation:

First, we will convert 80% into the decimal 0.8, then we will multiply this by the amount of total calories in the drink to create the following equation:

300 * 0.8 = 240 Calories.

Answer: The slope for this line is not defined.

Step-by-step explanation: We can find the slope of a line using the formula m = y2 -y1/x2 - x1

here, (x1,y1) = (-7,4)

and, (x2,y2) = (-7,-8)

now, m= -8-4/-7+7

        m = -12/0

        So, the slope for this line is not defined as we are getting zero in the denominator.

Answer:

Step-by-step explanation:

Answer:

2√2- 4√5

Step-by-step explanation:

√2 (2-2√10)

2√2- 2√20

2√2- 2√(4*5)

2√2- 2*2√5

2√2- 4√5

Answer:

For every hour, Bliqus earns $21.50

Step-by-step explanation:

$430 / 20 = $21.50

$215 / 10 = $21.50

Answer:

B. Increases from left to right

Step-by-step explanation:

I calculated it logically

9514 1404 393

Answer:

  b.  increases from left to right

Step-by-step explanation:

See below for a graph. The function increases at an increasing rate from left to right. It only exists in quadrants I and II.

Step-by-step explanation:

think of it as a ruler the small dashes represents the 16ths and the big dashes represents the 4ths. They are on the same line therefore they are equal.

The product of given equation is      [tex]6t^{4} + 6t^{2} bs-8bst^{2} -8b^{2} s^{2}[/tex] .

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

[tex]=(6t^{2} -8bs) (t^{2} + bs)[/tex]

[tex]=6t^{2} (t^{2} + bs) -8bs(t^{2} + bs)[/tex]

[tex]=6t^{4} +6t^{2}bs -8bst^{2} -8b^{2} s^{2}[/tex]

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Answer: the answer is 1.cuneiform & 2.sumerians

Step-by-step explanation: searched it up