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3 years ago

6x^2 - 9x + 3 - (8x²+ 7x - 1)

Mathematics

2 answers:

Solnce55 [7]3 years ago

8 0

Answer:

-2x² - 16x + 4

Step-by-step explanation:

Step 1: Write out expression

6x² - 9x + 3 - (8x² + 7x - 1)

Step 2: Distribute negative

6x² - 9x + 3 - 8x² - 7x + 1

Step 3: Combine like terms (x²)

-2x² - 9x + 3 - 7x + 1

Step 4: Combine like terms (x)

-2x² - 16x + 3 + 1

Step 5: Combine like terms (constants)

-2x² - 16x + 4

r-ruslan [8.4K]3 years ago

3 0

Answer:

-2(x^2=8x-2)

Step-by-step explanation:

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The Volume of a sphare is 28/3 times the surface area calculate The surface area and the Volume of the sphere, correct to the ne

Aloiza [94]

Given:

Volume of a sphere is $\dfrac{28}{3}$ times the surface area.

To find:

The surface area and the volume of the sphere.

Solution:

Volume of a sphere:

$V=\dfrac{4}{3}\pi r^3$ ...(i)

Surface area of a sphere:

$A=4\pi r^2$ ...(ii)

Where, r is the radius of the sphere.

Volume of a sphere is $\dfrac{28}{3}$ times the surface area.

$V=\dfrac{28}{3}\times A$

$\dfrac{4}{3}\pi r^3=\dfrac{28}{3}\times 4\pi r^2$

Multiply both sides by 3.

$4\pi r^3=112\pi r^2$

$\dfrac{\pi r^3}{\pi r^2}=\dfrac{112}{4}$

$r=28$

Using (i), the volume of the sphere is:

$V=\dfrac{4}{3}\times \dfrac{22}{7}\times (28)^3$

$V\approx 91989$

Using (ii), the surface area of the sphere is:

$A=4\times \dfrac{22}{7}\times (28)^2$

$A=9856$

Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.

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3 years ago

Use the following problem to answer the question below:

Rom4ik [11]

Answer:

m∠ABD = m∠CBE ⇒ by subtracting a common angle from the given angles

Step-by-step explanation:

∵ m∠ABE = m∠CBD

∵ m∠ABD = m∠ABD + m∠DBE

∵ m∠CBD = m∠CBE + m∠EBD

∵ ∠EBD is common angle between them

∴ m∠ABD = m∠CBE

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3 years ago

Which expression represents the following calculation?

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Answer:

(381-22)*16

Step-by-step explanation:

(381-22)*16

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3 years ago

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A jar contains 30 red, 30 blue, and 60

kiruha [24]

The probability of picking red button is $\frac{1}{4}$

<u>Solution:</u>

Given, A jar contains 30 red, 30 blue, and 60 white buttons.

You pick one button at a random choice,

We have to find the probability that it is red button.

Now, total number of buttons = 30 + 30 + 60 = 120 buttons.

Number of favourable cases for red button = 30 red buttons.

The probability of an event is given as:

$\text { probability of a event }=\frac{\text { favourable ways to pick red }}{\text { total possiblities }}$

$=\frac{30}{120}=\frac{1}{4}$

Thus the probability that it is red is $\frac{1}{4}$

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3 years ago

A researcher is interested in the lengths of brook trout, which are known to be approximately Normally distributed with mean 80

aliya0001 [1]

Answer:

$P(X$

And we can find this probability with the normal standard distirbution or excel and we got:

$P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the lenghts of a population, and for this case we know the distribution for X is given by:

$X \sim N(80,5)$