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Feliz [49]
3 years ago
5

Refer to the question below:

Mathematics
1 answer:
irakobra [83]3 years ago
7 0
∛(2x + 5) - 3 = 0
Add 3 to both sides
∛(2x + 5) = 3
Cube both sides
2x + 5 = 27
Subtract 5 from both sides
2x = 22
Divide both sides by 2
x=11
There's your answer. Have an awesome day! :)
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onsider the equation 0.5 times e4z =13 solve the equation for z. express the solution as a logarithm in base e
olga_2 [115]

Answer:

z=\frac{ln(26)}{4}

Step-by-step explanation:

The given equation is:

0.5\,e^{4z}=13

so, we first isolate the exponential form that contains the unknown "z" in the exponent, by dividing both sides by 0.5:

0.5\,e^{4z}=13\\e^{4z}=\frac{13}{0.5}\\e^{4z}=26

Now we bring the exponent down by applying the natural log function on both sides, and then solve for "z":

e^{4z}=26\\ln(e^{4z})=ln(26)\\4\,z=ln(26)\\z=\frac{ln(26)}{4}

5 0
3 years ago
Musical megabytes How much disk space
alexdok [17]

Given:

Consider the file sizes (in  megabytes) for 18 randomly selected files on  Gabriel's mp3 player are shown in the below figure.

To find:

The outliers in the  distribution.

Solution:

We have, the given data set

2.4, 2.7, 1.6 , 1.3 , 6.2, 1.3, 5.6, 1.1, 2.2, 1.9, 2.1, 4.4, 4.7, 3.0, 1.9, 2.5, 7.5, 5.0

Arrange the data in ascending order.

1.1, 1.3, 1.3, 1.6, 1.9, 1.9, 2.1, 2.2, 2.4, 2.5, 2.7, 3.0, 4.4, 4.7, 5.0, 5.6, 6.2, 7.5,

Divide the data in 4 equal parts.

(1.1, 1.3, 1.3, 1.6), 1.9, (1.9, 2.1, 2.2, 2.4),( 2.5, 2.7, 3.0, 4.4), 4.7, (5.0,5.6, 6.2, 7.5)

It is clear that,

Q_1=1.9

Q_3=4.7

IQR=Q_3-Q_1

IQR=4.7-1.9

IQR=2.8

Now,

Interval=[Q_1-1.5IQR,Q_3+1.5IQR]

Interval=[1.9-1.5(2.8),4.7+1.5(2.8)]

Interval=[-2.3,8.9]

All the data values lies in the interval [-2.3,8.9]. Therefore, the given data set have no outliers.

7 0
3 years ago
Why does the value of money in a savings account increase over time? A. because it earns interest B. because future value is alw
vodka [1.7K]

Answer:

A. because it earns interest

Step-by-step explanation:

The interest rate is the gaining that you make for keeping your money in the bank. Suppose you have $100 and the bank offers you a 5% annually interest rate. The rate (5%) means that your money will earn five percent of the value each year, so after the first year you will earn (5%)*($100) = $5 of interest just for keeping your money in your savings account. Therefore, your money will grow overtime because it is earning interest. Remember that interest can be compound (over periods) or simple (like our example).

8 0
2 years ago
Read 2 more answers
Please anyone help ???? Please help me !!!!
baherus [9]

Answer:

B

Step-by-step explanation:

(1/2) * (2 x - 6) (x - 2)

is equivalent to

x^2 - 5 x + 6

4 0
2 years ago
Find the value of x<br>​
IgorLugansk [536]

Answer:

2

Step-by-step explanation:

please mark brainiest hope it works out for you

6 0
3 years ago
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