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FinnZ [79.3K]
3 years ago
15

Solve the equation for the unknown variable.

Mathematics
2 answers:
Georgia [21]3 years ago
8 0

Answer:

d = -3

Step-by-step explanation:

Given the equation:

d^3 = -27

Solve for d:

Take both sides cube root we have;

d =\sqrt[3]{-27}

We can write 27 as:

27 = 3 \cdot 3 \cdot 3 = 3^3

then;

d = \sqrt[3]{-3^3}

Using the rules:

\sqrt[n]{a^n} = a

\sqrt[3]{-1} = -1

then;

d = -\sqrt[3]{3^3} = -3

therefore, the unknown variable d is, -3

EleoNora [17]3 years ago
4 0

Answer:

-3

Step-by-step explanation:

this is the anwer............ ben solo once said: let the numbers dicrease make them negetive if you have to:D lol

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What is the value of the y-intercept of the graph of h(x) = 1.2(4.15)^x?
gizmo_the_mogwai [7]

9514 1404 393

Answer:

  h(0) = 1.2

Step-by-step explanation:

The y-intercept is h(0). When x=0, the exponential term evaluates to 1, so the y-intercept is the multiplier of the exponential term.

  h(0) = 1.2 . . . the y-intercept

7 0
2 years ago
The number of endangered species in a jungle decreased from 75 to 30 in one year.
lys-0071 [83]
The percent of decrease would be 60%
7 0
2 years ago
On a multiple-choice test. Abby randomly guesses on all seven questions. Each question
Murrr4er [49]

Answer:

0.173 probability that she gets exactly three questions correct.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either she guesses the correct answer, or she does not. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution 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.

Seven questions:

This means that n = 7

Each question has four choices.

Abby guesses, which means that p = \frac{1}[4} = 0.25

Find the probability to the nearest thousandth, that Abby gets exactly three questions correct.

This is P(X = 3).

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

P(X = 3) = C_{7,3}.(0.25)^{3}.(0.75)^{4} = 0.173

8 0
3 years ago
Below is the graph of y= x.<br> Translate it to make it the graph of y=<br> x-1 + 4.
Oduvanchick [21]
  • First, to shift the graph of y=x 1 unit to the right, so y=x-1
  • Second, to shift the graph of y=x-1 4 units to the left, so y=x-1+4

<h2>Explanation:</h2>

To translate the graph of a function is part of Rigid Transformations because the basic shape of the graph is unchanged

Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:

\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c

\bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)

In this case, we have the graph of:

y=x

And we need to translate it to make it the graph of:

y=x-1+4

According to our rules we need:

  • First, to shift the graph of y=x 1 unit to the right, so y=x-1
  • Second, to shift the graph of y=x-1 4 units to the left, so y=x-1+4

But y=x-1+4 is the same as y=x+3, so the previous steps can be simplified as:

  • Shifting the graph of y=x 3 unit to the left.

Below are shown those graphs:

  • The blue one is y=x
  • The red one is y=x-1+4

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

6 0
3 years ago
ASAP!!!<br> Find the zero of the function f(x) = -8x + 4.<br> a. -1/2<br> b. 2<br> c. -2<br> d. 1/2
Katyanochek1 [597]

Answer:

D. 1/2

Step-by-step explanation:

Because if you choose A , you get +4

if you choose B ,you get -12

Choose C , you get +20

D is the correct answer.

6 0
2 years ago
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