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4 years ago

2. -6a+3=-3(2a-1)

1 answer:

5 0

$2.\\-6a+3=-3(2a-1)\qquad|\text{use distributive property}\\\\-6a+3=(-3)(2a)+(-3)(-1)\\\\-6a+3=-6a+3\qquad|+6a\\\\3=3\qquad TRUE\\\\Answer:\ d)\ identity$

$3.\\0.5b+4=2(b+2)\qquad|\text{use distributive property}\\\\0.5b+4=(2)(b)+(2)(2)\\\\0.5b+4=2b+4\qquad|-4\\\\0.5b=2b\qquad|-2b\\\\-1.5b=0\qquad|:(-1.5)\\\\b=0\\\\Answer:\ a)\ b=0$

$4.\\8-(3+b)=b-9\\\\8-3-b=b-9\\\\5-b=b-9\qquad|-5\\\\-b=b-14\qquad|-b\\\\-2b=-14\qquad|:(-2)\\\\b=7\\\\Answer:\ a)\ 7$

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In a circle, area and circumference can be found using the formulas A=(pi)r^2 and C=2(pi)r, respectively, Write a formula for A

AURORKA [14]

Answer:

$A = \dfrac{C^2}{4\pi}$

Step-by-step explanation:

Given that

Area of a circle $A=\pi r^2$

Circumference of the circle $C = 2 \pi r$

Let us re-write the equation of area of circle:

$A=\pi r^2$

$A = \pi \times r \times r$

Multiplying and dividing with 2:

$A = \dfrac{2\pi r}{2} \times r\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C}{2} \times r\\\text{Multiplying and dividing by } 2\pi:\\\Rightarrow A = \dfrac{C}{2} \times \dfrac{2\pi r}{2\pi}\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C \times C}{4 \pi}\\\Rightarrow A = \dfrac{C^2}{4 \pi}$

Hence, <em>A</em> in terms of <em>C</em> can be represented as:

$A = \dfrac{C^2}{4\pi}$

4 0

4 years ago

A submarine travels through the water at an elevation of - 203 meters (it travels below the surface). The sub starts to rise. Th

rjkz [21]

Well see here that it practically gives us the answer. The submarine rises 4.3 meter each minute of the first 15 minutes. Multiplying these two given numbers you get 64.5 . Great we're halfway through. Now onto the second equation. 5.2 times 12 . easy right? The answer round to 62.4 . Now all that's left to do is add the two together. After the 27 minutes the submarine should be at an elevation of 126.9 feet. rounding to 127 if you teacher requires you to round the numbers.

5 0

3 years ago

What is the GCF of 84 and 56

Elden [556K]

Prime factorization for both numbers:

84 = 2*2*3*7

56= 2*2*2*7

prime factors: 2*2*7

answer: 28

8 0

4 years ago

Read 2 more answers

What is the value of k? 0.5k+6=4k-8

Mashcka [7]

6+8=4k-.5k
14=3.5k
So K=4

4 0

3 years ago

Read 2 more answers

g The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control

Rudiy27

Answer:

0.1426 = 14.26% probability that at least one of the births results in a defect.

Step-by-step explanation:

For each birth, there are only two possible outcomes. Either it results in a defect, or it does not. The probability that a birth results in a defect is independent of any other birth. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC).

This means that $p = \frac{1}{33}$