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olya-2409 [2.1K]
3 years ago
13

21. Brian wants to purchase a piece of fabric

Mathematics
1 answer:
ella [17]3 years ago
8 0

Brian should purchase Choice C of fabric

<em><u>Solution:</u></em>

Given that Brian wants to purchase a piece of fabric  that is between 49 and 53 inches long

So piece of fabric should be between: 49 and 53 inches

  • Choice A is 4\frac{3}{4} feet long

Let us convert feet to inches

4\frac{3}{4} feet = \frac{4 \times 4 + 3}{4} = \frac{19}{4} feet

Now convert to inches

We know that,

1 feet = 12 inches

\frac{19}{4} feet = \frac{19}{4} \times 12 = 57 inches

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches

So this is not correct

  • Choice  B is 4\frac{1}{2} feet long

4\frac{1}{2} feet = \frac{2 \times 4 + 1}{2} = \frac{9}{2} feet

Now convert to inches

\frac{9}{2} feet = \frac{9}{2} \times 12 inches = 54 inches

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches

So this is not correct

  • Choice C is 4\frac{1}{3} feet  long

4\frac{1}{3} feet = \frac{3 \times 4 + 1}{3} = \frac{13}{3} feet

Now convert to inches

\frac{13}{3} feet = \frac{13}{3} \times 12 inches = 52 inches

So this 52 inches lies between 49 and 53 inches

So Brian should purchase Choice C of fabric

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There are 10 Superscript 9 bytes in a gigabyte. There are 10 Superscript 6 bytes in a megabyte. How many times greater is the st
ohaa [14]

To find the how many  times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive we have to apply exponent operation.

The storage capacity of a 1-gigabyte is 1000 greater than 1-megabyte flash drive.

Given:

The given exponent for gigabyte is,

10^9

The given exponent of megabyte is,

10^6

<h3>What is exponent rule?</h3>
  • The power rule of exponent rule is defined as if raise the a number with exponent to power then we will mulitply exponent to the power times.  
  • to change the negative exponent into a positive we have to invert the base.

Calculate the storage capacity.

\dfrac{10^9}{ 10^6}=10^9-6}\\&#10;\dfrac{10^9}{ 10^6}=10^3\\&#10;\dfrac{10^9}{ 10^6}=1000

Thus, the storage capacity of a 1-gigabyte is 1000 greater than 1-megabyte flash drive.

Learn more about exponent rule here:

brainly.com/question/2254060

8 0
2 years ago
Another one???<br> The ruler Ting!!!
ludmilkaskok [199]
I don't understand or see for the matter the question what is it 
8 0
3 years ago
(Just the first question) please help!
lara31 [8.8K]

Answer:

Altitude: 11 1/4

Step-by-step explanation:

-3 1/4 x 9 = -29 1/4

Leftover from 35: 5 3/4 + 5 1/2 = 11 1/4

Good luckkk!!

5 0
3 years ago
HELP 40 POINTS
Tom [10]
Answer: the function g(x) has the smallest minimum y-value.


Explanation:


1) The function f(x) = 3x² + 12x + 16 is a parabola.


The vertex of the parabola is the minimum or maximum on the parabola.


If the parabola open down then the vertex is a maximum, and if the parabola open upward the vertex is a minimum.


The sign of the coefficient of the quadratic term tells whether the parabola opens upward or downward.


When such coefficient is positive, the parabola opens upward (so it has a minimum); when the coefficient is negative the parabola opens downward (so it has a maximum).


Here the coefficient is positive (3), which tells that the vertex of the parabola is a miimum.


Then, finding the minimum value of the function is done by finding the vertex.

I will change the form of the function to the vertex form by completing squares:

Given: 3x² + 12x + 16

Group: (3x² + 12x) + 16
Common factor: 3 [x² + 4x ] + 16
Complete squares: 3[ ( x² + 4x + 4) - 4] + 16
Factor the trinomial: 3 [(x + 2)² - 4] + 16
Distributive property: 3 (x + 2)² - 12 + 16
Combine like terms: 3 (x + 2)² + 4

That is the vertex form: A(x - h)² + k, whch means that the vertex is (h,k) = (-2, 4).


Then the minimum value is 4 (when x = - 2).


2) The othe function is <span>g(x)= 2 *sin(x-pi)
</span>

The sine function goes from -1 to + 1, so the minimum value of sin(x - pi) is - 1.


When you multiply by 2, you just increased the amplitude of the function and obtain the new minimum value is 2 (-1) = - 2


Comparing the two minima, you have 4 vs - 2, and so the function g(x) has the smallest minimum y-value.

7 0
3 years ago
6 (1/3x-2) please help me
levacccp [35]

Answer:

The answer will be 2x-12

Step-by-step explanation:

Hope this Helped

3 0
3 years ago
Read 2 more answers
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