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3 years ago

3. State if each statement is correct. If it is not correct, then fix the mistake.

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

4 0

Answer:

All are incorrect

Step-by-step explanation:

Required

Determine which is correct or not

$(a)\ 2x * 2x = 4x$

This is incorrect because:

$2x * 2x = 2 * 2 * x*x$

$2x * 2x = 4x^2$ ---- fixed

$(b)\ 3x^3 * 3x^3 = 9x^9$

This is incorrect because:

$3x^3 * 3x^3 = 3 * 3 * x^3 * x^3$

$3x^3 * 3x^3 = 9x^(3+3)$

$3x^3 * 3x^3 = 9x^6$ ---- fixed

$(c)\ 4x(4x + 5) =8x + 5$

This is incorrect because:

$4x(4x + 5) =4x * 4x + 4x * 5$

$4x(4x + 5) =16x^2 + 20x$ ---- fixed

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Scientists were studying a rare species of parrot. They went to a forest in the year

Brrunno [24]

Answer:

$P(t) = 608(1.5)^{t}$

Step-by-step explanation:

The number of parrots in t years after 2010 can be modeled by the following function:

$P(t) = P(0)(1+r)^{t}$

In which P(0) is the number of parrots in 2010 and r is the growth rate, as a decimal.

608 parrots in the forest in 2010.

This means that $P(0) = 608$

Then

$P(t) = 608(1+r)^{t}$

When the scientists went back 5 years later, they found 4617 parrots.

This means that $P(5) = 4617$

We use this to find 1 + r. So

$P(t) = 608(1+r)^{t}$

$4617 = 608(1+r)^{5}$

$(1+r)^{5} = \frac{4617}{608}$

$1 + r = \sqrt[5]{\frac{4617}{608}}$

$1 + r = 1.5$

$P(t) = 608(1.5)^{t}$

8 0

3 years ago

Common Core Algebra 1 - MAZINS ATC

katen-ka-za [31]

200=x-4 original equation
204=x addition property of equality (add 4 on both sides)
x=204 symmetric property

4 0

4 years ago

An article in Knee Surgery, Sports Traumatology, Arthroscopy, "Arthroscopic meniscal repair with an absorbable screw: results an

igomit [66]

Answer:

Mean = 1.57

Variance=0.31

Step-by-step explanation:

To calculate the mean and the variance of the number of successful surgeries (X), we first have to enumerate the possible outcomes:

1) Both surgeries are successful (X=2).

$P(e_1)=0.90*0.67=0.603$

2) Left knee unsuccessful and right knee successful (X=1).

$P(e_2)=(1-0.9)*0.67=0.1*0.67=0.067$

3) Right knee unsuccessful and left knee successful (X=1).

$P(e_3)=0.90*(1-0.67)=0.9*0.33=0.297$

4) Both surgeries are unsuccessful (X=0).

$P(e_4)=(1-0.90)*(1-0.67)=0.1*0.33=0.033$

Then, the mean can be calculated as the expected value:

$M=\sum p_iX_i=0.603*2+0.067*1+0.297*1+0.033*0\\\\M=1.206+0.067+0.297+0\\\\M=1.57$

The variance can be calculated as:

$V=\sum p_i(X_i-\bar{X})^2\\\\V=0.603(2-1.57)^2+(0.067+0.297)*(1-1.57)^2+0.033*(0-1.57)^2\\\\V=0.603*0.1849+0.364*0.3249+0.033*2.4649\\\\V=0.1115+0.1183+0.0813\\\\V=0.3111$

3 0

3 years ago

Can you PLEASE write a paragraph of how tragicomic functions work PLEASE!!!

iogann1982 [59]

They are used for making the sides of a triangle into a ratio. Sine is opposite of the angle divide by the hypotenuse, cosine is adjacent divided by the hypotenuse, and tangent is the opposite divided by the adjacent. Sine is the y-component, cosine is the x-component, and tangent is the ratio of sine/cosine or can also be considered the slope.

7 0

3 years ago

My other equation for a dfferent problem is 1+y=-4/5x-2

slava [35]

Answer:

y-intecept= positive 6

slope is 3/8

Step-by-step explanation:

y−6= 3/8x This is standard form

change to slope-intercept form

y=mx+b

m=slope

b=y-intercept

y= 3 /8 x+6

5 0

3 years ago