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Lubov Fominskaja [6]
3 years ago
8

How do you divide scientific notation problems like this: 0.00053 ÷ 29?

Mathematics
1 answer:
Shtirlitz [24]3 years ago
5 0
You got to remember
\frac{x^m}{x^n}=x^{m+n}

first write them in scienfitic notation
0.00053=5.3*10^{-4}
29=2.9*10^1


so
\frac{0.00053}{29}=
\frac{(5.3)(10^{-4})}{(2.9)(10^1)}=
(\frac{5.3}{2.9})(\frac{10^{-4}}{10^1}=
(1.8275862068965517241379310344828)(10^{-4-1})=
(1.8275862068965517241379310344828)(10^{-5})=
1.8275862068965517241379310344828*10^{-5}

that's the answer
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A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.
WINSTONCH [101]
Given:
hexagon
apothem of the hexagon: 14 cm
perimeter of the hexagon: 96 cm

Area of the hexagon = [(3√3) / 2] a²     ; where a is the measure of the side

hexagon has 6 sides.

Perimeter = 6a
96 cm = 6a
96 cm / 6 = a
16 = a

We can also use the area of a triangle to approximate the area of the hexagon. There are 6 triangles in the hexagon .

Area of a triangle = (height * base) / 2
A = (14 cm * 16 cm) / 2
A = 224 / 2 
A = 112 cm²

112 cm²  * 6 triangles = 672 cm²
4 0
4 years ago
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Part A: Max rented a motorbike at $465 for 5 days. If he rents the same motorbike for a week, he has to pay a total rent of $625
AleksAgata [21]

Answer: Our required equation will be

y-80x=65

Step-by-step explanation:

Since we have given that

Number of days Max rented a motorbike at $465 = 5 days

Number of days Max rented a motorbike at $625 = 7 days

According to question, we'll use " Equation of line using two points "

(y-y_0)=\frac{y_2-y_1}{x_2-x_1}(x-x_0)\\\\(y-465)=\frac{625-465}{7-5}(x-5)\\\\(y-465)=80(x-5)\\\\y-465=80x-400\\\\y-80x=-400+465\\\\y-80x=65

Hence, our required equation will be

y-80x=65

6 0
3 years ago
Julie and her friend went to the movies and bought one jumbo popcorn and two chocholate chip cookies for 5$. Marvin and his frie
makvit [3.9K]
Let j = cost of one jumbo popcorn, and c = cost of one chocolate chip cookie.

Then, based upon the given info, 1j + 2c = $5.

Also, 3j + 5c = $14.50

Let's solve this system of equations using addition/subtraction:

Mult. the first equation by -3, to obtain   -3j - 6c = -$15

Now add this result to the 2nd equation:   

-3j - 6c = -$15
3j + 5c = $14.50
----------------------
     -c = -$0.50, or c = $0.50.       Since   3j + 5c = $14.50, subst. $0.50 for c 
lets us find j:

3j + 5($0.50) = $14.50, so 3j = $12.00.  Thus, j = $4.00.


Jumbo popcorn is $4/bag, and choc. chip cookies $0.50 each.
4 0
4 years ago
The chamber of commerce of a Florida Gulf Coast community advertises that area residential property is available at a mean cost
Alja [10]

Answer:

a) In the step-by-step explanation.

b)  The null and alternative hypothesis are:

H_0: \mu=125000\\\\H_a:\mu> 125000

c) P-value = 0.015

d) The conclusion, at a level of significance of 0.05, is that there is enough evidence to support the claim that that area residential property is available at a mean cost significantly higher than $125,000 per lot.

e) The claim of the chamber of commerce is false. We have statistical evidence against that claim and we can conclude that the mean prices are significantly higher than $125,000.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim, expressed in the alternative hypothesis, is that area residential property is available at a mean cost significantly higher than $125,000 per lot.

Then, the null and alternative hypothesis are:

H_0: \mu=125000\\\\H_a:\mu> 125000

The significance level is 0.05.

The sample has a size n=32.

The sample mean is M=130000.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=12500.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{12500}{\sqrt{32}}=2209.71

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{130000-125000}{2209.71}=\dfrac{5000}{2209.71}=2.26

The degrees of freedom for this sample size are:

df=n-1=32-1=31

This test is a right-tailed test, with 31 degrees of freedom and t=2.26, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t>2.26)=0.015

As the P-value (0.015) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that that area residential property is available at a mean cost significantly higher than $125,000 per lot.

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3 years ago
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skelet666 [1.2K]

Answer:

g(x) isn't given

f(x) isn't given also

5 0
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