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3 years ago

A number cube is rolled once. Answer these questions below?

Mathematics

1 answer:

Yakvenalex [24]3 years ago

6 0

Answer:

1/2

Step-by-step explanation:

1) the sample space is 1 through 6

2) numbers less than 4 on the number cube 1, 2, and 3 3#s

total amount of #s is 6

probability = numbers less than 4/total amount of #s:

3/6

1/2

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Simplify: (4p3 + 6p2 – 7) – (8p? – 7 – 3p)

Kipish [7]

Answer:

4p3 + 6p2 - 8p - 7

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "p2" was replaced by "p^2". 1 more similar replacement(s).

STEP

Equation at the end of step 1

(((4 • (p3)) + (2•3p2)) - 7) - 8p

STEP

Equation at the end of step

((22p3 + (2•3p2)) - 7) - 8p

STEP

Checking for a perfect cube

3.1 4p3+6p2-8p-7 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 4p3+6p2-8p-7

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -8p-7

Group 2: 4p3+6p2

Pull out from each group separately :

Group 1: (8p+7) • (-1)

Group 2: (2p+3) • (2p2)

3.3 Find roots (zeroes) of : F(p) = 4p3+6p2-8p-7

Polynomial Roots Calculator is a set of methods aimed at finding values of p for which F(p)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers p which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 4 and the Trailing Constant is -7.

The factor(s) are:

of the Leading Coefficient : 1,2 ,4

of the Trailing Constant : 1 ,7

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 3.00

-1 2 -0.50 -2.00

-1 4 -0.25 -4.69

-7 1 -7.00 -1029.00

-7 2 -3.50 -77.00

-7 4 -1.75 3.94

1 1 1.00 -5.00

1 2 0.50 -9.00

1 4 0.25 -8.56

7 1 7.00 1603.00

7 2 3.50 210.00

7 4 1.75 18.81

Final result :

4p3 + 6p2 - 8p - 7

5 0

2 years ago

HELP PLZ Does the Graph Represent A Function? Why Or Why Not?

Gekata [30.6K]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Show all work and reasoning

Natalija [7]

Split up the interval [2, 5] into $n$ equally spaced subintervals, then consider the value of $f(x)$ at the right endpoint of each subinterval.

The length of the interval is $5-2=3$ , so the length of each subinterval would be $\dfrac3n$ . This means the first rectangle's height would be taken to be $x^2$ when $x=2+\dfrac3n$ , so that the height is $\left(2+\dfrac3n\right)^2$ , and its base would have length $\dfrac{3k}n$ . So the area under $x^2$ over the first subinterval is $\left(2+\dfrac3n\right)^2\dfrac3n$ .

Continuing in this fashion, the area under $x^2$ over the $k$ th subinterval is approximated by $\left(2+\dfrac{3k}n\right)^2\dfrac{3k}n$ , and so the Riemann approximation to the definite integral is

$\displaystyle\sum_{k=1}^n\left(2+\frac{3k}n\right)^2\frac{3k}n$

and its value is given exactly by taking $n\to\infty$ . So the answer is D (and the value of the integral is exactly 39).

8 0

3 years ago

Mia and John are selling boxes of apples. They have small boxes and large boxes. Mia sells 6 small boxes and 2 large boxes for a

kvasek [131]

6s+2l = 28

4s+5l= 37

eliminate 6s+2l=28 by dividing all numbers by 6

u get s= -1/3 l + 14/3

49-1/3l=14/3) + 5l =37

L=5

s= -1/3(5) + 14/3

s=3

l=5

6 0

3 years ago

Read 2 more answers

If the arc on a particular circle has a length of 12 units, and the circumference of the circle is 36, which is the degree measu

qaws [65]

So the answer will be 120° and here is why:

We can say that x∘=x360

And then

36(x360)=12

x10=12

x=10⋅12=120∘

6 0

3 years ago