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love history [14]
3 years ago
12

Question 3. Simplify the following in four steps.

Mathematics
2 answers:
miss Akunina [59]3 years ago
3 0

Answer:

X ¹/₅

Step-by-step explanation:

X ⁷/₁₀

X ¹/₂

apply the exponent rule:

= X ⁷/₁₀ - ¹/₂

= X ¹/₅

podryga [215]3 years ago
3 0

Answer:

\frac{x {}^{7} }{10}  \div x {}^{ \frac{1}{2} }

=  \frac{x {}^{7} }{10}  \times \frac{1}{x {}^{ \frac{1}{2} } }

=  \frac{x {}^{ \frac{13}{2} } }{10}

=  \frac{ \sqrt{x {}^{13} } }{10}

=  \frac{x {}^{6} \sqrt{x}  }{10}

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Read the quotation from "Song of Myself."
maw [93]

Answer:

the answer is A

4 0
3 years ago
Harrison has $9.30 in his coin collection all in pennies and dimes the number of dimes is three times the number of pennies how
Vsevolod [243]

Answer:

Number of Pennies = 30

Number of Dimes = 90

Step-by-step explanation:

Let the number of pennies be p and number of dimes be d

We can write 2 equations and use substitution method to solve.

<u>Total value of all the coins is 9.30:</u>

We can write:

0.01p + 0.1d = 9.30

Note: value of penny is 0.01 and dime is 0.1, in dollars

<u>Number of dimes is 3 times number of pennies:</u>

We can write:

d = 3p

Now putting 2nd equation in first and solving for p:

0.01p + 0.1(3p) = 9.30

0.01p + 0.3p = 9.30

0.31 p = 9.30

p = 9.30 /0.31

p = 30

Now we know d = 3p, so d = 3 (30) = 90

Hence

Number of Pennies = 30

Number of Dimes = 90

5 0
3 years ago
On day two of a study on body temperatures, 106 temperatures were taken. Suppose that we only have the first 10 temperatures to
NemiM [27]

Answer:

The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.2622

The margin of error is:

M = T*s = 2.2622*0.3 = 0.68

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 98.44 - 0.68 = 97.76 ºF

The upper end of the interval is the sample mean added to M. So it is 98.44 + 0.68 = 99.12 ºF

The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF

4 0
3 years ago
The volume of a rectangular prism is 2,058cm. The Length of the prism is 3 times the width. The height is twice the width. Find
Nat2105 [25]

v = l x w x h

v = 2058

width = x

height = 2x

length = 3x


2058 = 3x*2x*x =

2058 = 6x^3=

343 = x^3

x = 7

2*7 = 14

3*7 = 21

21*14*7 = 2058


 height is 14 cm

5 0
3 years ago
A bracelet that regularly sells for $44 is on sale for 25% off.Find the sale price of the bracelet.
a_sh-v [17]

Answer:

$33

Step-by-step explanation:

multiply 44 by 25 then divide by 100 to get $11 that's the amount that's being discounted so u subtract 44-11 ti get final answer

4 0
3 years ago
Read 2 more answers
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