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3 years ago

What is the factored form of b3 − 1,000?

Mathematics

2 answers:

DochEvi [55]3 years ago

7 0

Kindly, check the attachment below to see the answer.

Mrac [35]3 years ago

7 0

Answer:

$(b - 10) (b^2+ 10b +100)$

Step-by-step explanation:

b3 − 1,000

b3 − $10^{3}$

(a b) (a^2 ab b^2)

a=b

b=10

(b 10) (b^2 10b 100)

the same , opposite, always a plus "SOAP"

$(b - 10) (b^2+ 10b +100)$

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Sketch one cycle of the cosine function y= cos 2θ

Liula [17]

Based on function transformations, the graph of y= cos(2θ), is the same as the graph of y= cos(θ), with a component B of 2, in which case, it means the period is the only thing that differs

well the period for this function will then be $\bf \cfrac{2\pi }{B}\iff \cfrac{2\pi }{2}\implies \pi$

so, the graph of is, the same as y= cos(θ), just shrunk by half horizontally

7 0

3 years ago

Please help it would mean a lot to me :)

Luda [366]

Answer:

a) TO = OP = 13

b) Height = 12

Step-by-step explanation:

a) Isosceles triangle TOP with base TP = 10 cm, side TO = OP = x cm.

Perimeter of triangle TOP = 36 cm

=> TO + OP + TP = 36

=> x + x + 10 = 36

=> 2x = 26

=> x = 13

=> TO = OP = 13 cm.

b) Apply Pythagorean theorem:

height^2 + (base/2)^2 = side^2 (height^2 + (TP/2)^2 = TO^2)

height^2 + (10/2)^2 = 13^2

height^2 + 25 = 169

height^2 = 144

height = 12

Hope this helps!

5 0

4 years ago

An elementary school is offering 2 language classes: one in Spanish (S) and one in French (F). Given that P(S) = 50%, P(F) = 40%

nikklg [1K]

Answer:

(a) Probability that a randomly selected student is taking Spanish given that he or she is taking French = 0.5 .

(b) Probability that a randomly selected student is not taking French given that he or she is not taking Spanish = 0.6 .

Step-by-step explanation:

We are given that an elementary school is offering 2 language classes ;

Spanish Language is denoted by S and French language is denoted by F.

Also we are given, P(S) = 0.5 {Probability of students taking Spanish language}

P(F) = 0.4 {Probability of students taking French language}

$P(S\bigcup F)$ = 0.7 {Probability of students taking Spanish or French Language}

We know that, $P(A\bigcup B)$ = $P(A) + P(B) -$ $P(A\bigcap B)$

So, $P(S\bigcap F)$ = $P(S) + P(F) - P(S\bigcup F)$ = 0.5 + 0.4 - 0.7 = 0.2

$P(S\bigcap F)$ means Probability of students taking both Spanish and French Language.

Also, P(S)' = 1 - P(S) = 1 - 0.5 = 0.5

P(F)' = 1 - P(F) = 1 - 0.4 = 0.6

$P(S'\bigcap F')$ = 1 - $P(S\bigcup F)$ = 1 - 0.7 = 0.3

(a) Probability that a randomly selected student is taking Spanish given that he or she is taking French is given by P(S/F);

P(S/F) = $\frac{P(S\bigcap F)}{P(F)}$ = $\frac{0.2}{0.4}$ = 0.5

(b) Probability that a randomly selected student is not taking French given that he or she is not taking Spanish is given by P(F'/S');

P(F'/S') = $\frac{P(S'\bigcap F')}{P(S')}$ = $\frac{1- P(S\bigcup F)}{1-P(S)}$ = $\frac{0.3}{0.5}$ = 0.6 .

Note: 2. A pair of fair dice is rolled until a sum of either 5 or 7 appears ; This question is incomplete please provide with complete detail.

7 0

4 years ago

State the name of the property. (24+9)+4=24+(9+4).

nadezda [96]

Associative Property
The parentheses are grouping operators.
Think about the word associate to make it easier

3 0

3 years ago

Read 2 more answers

Use the digits 2,3,and 5 to create a fraction and a whole number with a product greater than 2

mylen [45]

Product is multiplication.

Since the answer needs to be greater than 2 either the fraction needs to be an improper fraction ( meaning the fraction would be greater than 1) or the whole number would need to be greater than 2.

One answer would be 5 x 2/3 = 3 1/3

3 0

3 years ago