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3 years ago

Solve for d. d^3 + 27 = 0 Write your answers in simplified, rationalized form.

Mathematics

2 answers:

sukhopar [10]3 years ago

8 0

Answer

d=-3, $\frac{3+3i\sqrt{3}}{2} }$ $\frac{3-3i\sqrt{3} }{2}$

Step-by-step explanation:

tester [92]3 years ago

7 0

Answer:

d=-3

Step-by-step explanation:

d3+27=0

Step 1: Subtract 27 from both sides.

d3+27−27=0−27

d3=−27

Step 2: Take cube root.

d=(−27)(

)

d=−3

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What transformation of the square root function comes from the constant

Leto [7]

The required transformation is $p=(\frac{v}{10.35} )^2$

<h3>Transformation of functions</h3>

Given the function expressed as:

$v=10.35 \times\sqrt{p}$

We are to make p the subject of the formula. First, divide both sides by 10.35

$\frac{v}{10.35} =\frac{10.35 \times\sqrt{p}}{10.35}\\ \frac{v}{10.35}=\sqrt{p}$

Square both sides of the equation:

$p=(\frac{v}{10.35} )^2$

Hene the required transformation is $p=(\frac{v}{10.35} )^2$

Learn more on transformation here: brainly.com/question/17311824

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3 years ago

Find the angle measure indicated. Assume that lines which appear to betangent are tangent.114?

joja [24]

EXPLANATION

Applying the Angles in Circles Theorem we can assevere that the measure of the unknown angles is given by the difference between 360 (By the Sum of Interior Angles of a Quadrilateral Theorem) and the angle 114 with both right angles.

? = 360 -114 - 90 - 90

? = 66 degrees

The answer is 66 degrees

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1 year ago

Is the relationship between the 7s in 7742 and the 7s in 7785 different in any way

KatRina [158]

No they both represent 7 thousand 7 hundred

6 0

4 years ago

The number of DVDs in a random person’s home collection is counted for a sample population of 80 people. The mean of the sample

VLD [36.1K]

Answer:

$E = 3.46\ movies$

Step-by-step explanation:

The formula to find the error is:

$E = z_{\frac{\alpha}{2}}\frac{\sigma}{\sqrt{n}}$

Where:

$\sigma$ is the standard deviation

n is the sample size

n = 80 people

$\sigma$ = 12 movies

Then

$1- \alpha$ = confidence level = 0.99

$\alpha= 1-0.99$

$\alpha = 0.01\\\\\frac{\alpha}{2} = 0.005$

We look for the Z value: $Z_{0.005}$

$Z_{0.005}=2.58$ Looking in the normal standard tables

Therefore:

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3 years ago

Express as index form<br> log 2 64 = 6

VMariaS [17]

Answer:

64 = 2^6

Step-by-step explanation:

The conversion method for log is:

log (b) a = x

then you rearrange it into:

a = b^x

(these are all variables, so you can insert the numbers)

7 0

3 years ago